Edit Profile (opens in new tab) Machado, José António Tenreiro Compute Distance To: Compute Author ID: machado.jose-antonio-tenreiro Published as: Machado, J. A. Tenreiro; Tenreiro Machado, J. A.; Machado, J. Tenreiro; Tenreiro Machado, J.; Machado, J. A. T.; Tenreiro Machado, José António; Machado, José A. Tenreiro; Machado, José António Tenreiro; Tenreiro Machado, José; Tenreiro Machado, José A.; Machado, José Tenreiro; Machado, Jose Antonio Tenreiro; Tenreiro-Machado, J. A.; Tenreiro Machado, Jose; Machado, José A. Homepage: http://ave.dee.isep.ipp.pt/~jtm/ External Links: ORCID · Wikidata · Google Scholar · dblp · GND Documents Indexed: 287 Publications since 1978, including 3 Books 27 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 195 Co-Authors with 272 Joint Publications 5,904 Co-Co-Authors all top 5 Co-Authors 36 single-authored 37 Lopes, António M. 26 Băleanu, Dumitru I. 17 Barbosa, Ramiro S. 14 Alfi, Alireza 14 Yang, Xiao-Jun 13 Jesus, Isabel S. 13 Moghaddam, Behrouz Parsa 12 Ortigueira, Manuel D. 11 Galhano, Alexandra M. S. F. 10 Silva, Manuel F. 9 Duarte, Fernando B. M. 9 Hassani, Hossein 9 Kiryakova, Virginia S. 7 Bhrawy, Ali Hassan 7 Chen, Liping 7 de Moura Oliveira, Paulo B. 7 Sayevand, Khosro 7 Wu, Ranchao 6 Avazzadeh, Zakieh 6 Nikan, Omid 6 Pahnehkolaei, Seyed Mehdi Abedi 5 Costa, António C. 5 Figueiredo, Lino B. 5 Luo, Albert C. J. 5 Mainardi, Francesco 5 Naraghirad, Eskandar 5 Valério, Duarte 5 Zaky, Mahmoud A. 4 Aghayan, Zahra Sadat 4 Alaviyan Shahri, Esmat Sadat 4 Boaventura-Cunha, José 4 da Graça Marcos, Maria 4 Ebaid, Abdelhalim 4 Lima, Miguel F. M. 4 Pinto, Carla M. A. 4 Quelhas, Maria Dulce 4 Taş, Kenan 4 Trujillo, Juan J. 3 Aljohani, Abdulrahman F. 3 Argyros, Ioannis Konstantinos 3 Balachandran, Balakumar 3 Behl, Ramandeep 3 Cao Labora, Daniel 3 Cattani, Carlo 3 David, Sergio Adriani 3 de Oliveira, Edmundo Capelas 3 Doha, Eid H. 3 Drăgănescu, Gheorghe 3 Ezz-Eldien, Samer S. 3 Fonseca Ferreira, Nuno Miguel 3 Golbabai, Ahmad 3 Ionescu, Clara Mihaela 3 Lacarbonara, Walter 3 Milici, Constantin 3 Monteiro Duarte, Gonçalo 3 Pires, E. J. Solteiro 3 Reis, Cecília M. 3 Rivero, Margarita 3 Rosário, João Maurıcio 3 Srivastava, Hari Mohan 3 Stépán, Gábor 3 Tar, József K. 2 Abelha, António 2 Alshomrani, Ali Saleh 2 Babaei, Afshin 2 Chaudhary, Naveed Ishtiaq 2 Chen, Wen 2 Copot, Dana 2 De Keyser, Robin 2 Faustino, Ana M. 2 Fečkan, Michal 2 Fedula, Mykola 2 Ferreira, Isabel M. 2 Ferreira, José Rui 2 Gaber, Ahmed A. 2 Gao, Feng 2 Inacio, C. M. C. jun. 2 Júdice, Joaquim João 2 Liu, Fawang 2 Luchko, Yuri 2 Marcos, Maria G. 2 Martynyuk, Valeriy 2 Masti, Iman 2 Mehdipour, S. Hamid 2 Mostaghim, Zeinab Salamat 2 Neves, José 2 Nigmatullin, Raoul R. 2 Özdemir, Necati 2 Pan, Wei 2 Quintino, D. D. 2 Raja, Muhammad Asif Zahoor 2 Tobón, Catalina 2 Ugarte, Juan P. 2 Volchenkov, Dimitri Yu. 2 Zhou, Yong 1 Abdelhakim, Ahmed A. 1 Abdelkawy, Mohamed A. 1 Afraimovich, Valentin S. 1 Agarwal, Praveen 1 Agrawal, Om Prakash ...and 105 more Co-Authors all top 5 Serials 46 Communications in Nonlinear Science and Numerical Simulation 28 Nonlinear Dynamics 27 Fractional Calculus & Applied Analysis 16 Applied Mathematical Modelling 13 Computers & Mathematics with Applications 12 Journal of Vibration and Control 11 Mathematical Problems in Engineering 9 Computational and Applied Mathematics 9 Abstract and Applied Analysis 8 Systems Analysis, Modelling Simulation 7 Signal Processing 7 Nonlinear Systems and Complexity 6 Mathematical Methods in the Applied Sciences 5 Applied Mathematics and Computation 5 International Journal of Nonlinear Sciences and Numerical Simulation 4 Journal of Computational Physics 4 Chaos, Solitons and Fractals 3 Journal of Computational and Applied Mathematics 3 Applied Numerical Mathematics 3 Neural Networks 3 Asian Journal of Control 2 International Journal of Control 2 Journal of Optimization Theory and Applications 2 Journal of Scientific Computing 2 Chaos 2 Fundamenta Informaticae 2 Entropy 2 Advances in Difference Equations 2 Advances in Mathematical Physics 2 Symmetry 2 Nonlinear Physical Science 1 Journal of the Franklin Institute 1 Mathematics and Computers in Simulation 1 Portugaliae Mathematica 1 Optimal Control Applications & Methods 1 Stochastic Analysis and Applications 1 Optimization 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Robotic Systems 1 Numerical Algorithms 1 International Journal of Robust and Nonlinear Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Engineering Analysis with Boundary Elements 1 Nonlinear Studies 1 Discrete Dynamics in Nature and Society 1 Analysis (München) 1 International Journal of Applied Mathematics 1 Nonlinear Analysis. Real World Applications 1 International Journal of Pure and Applied Mathematics 1 Hacettepe Journal of Mathematics and Statistics 1 Fixed Point Theory and Applications 1 Journal of Statistical Mechanics: Theory and Experiment 1 Boundary Value Problems 1 Acta Mechanica Sinica 1 Journal of Nonlinear Science and Applications 1 Springer Proceedings in Mathematics & Statistics 1 Journal of Applied Nonlinear Dynamics 1 The Scientific World Journal. Probability and Statistics 1 Computational Methods for Differential Equations 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 IET Control Engineering Series 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 118 Real functions (26-XX) 72 Ordinary differential equations (34-XX) 71 Systems theory; control (93-XX) 57 Numerical analysis (65-XX) 46 Partial differential equations (35-XX) 33 Mechanics of particles and systems (70-XX) 33 Biology and other natural sciences (92-XX) 29 General and overarching topics; collections (00-XX) 27 Information and communication theory, circuits (94-XX) 23 Dynamical systems and ergodic theory (37-XX) 20 Operations research, mathematical programming (90-XX) 17 Statistics (62-XX) 16 Computer science (68-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Probability theory and stochastic processes (60-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 10 History and biography (01-XX) 8 Measure and integration (28-XX) 8 Special functions (33-XX) 7 Operator theory (47-XX) 7 Fluid mechanics (76-XX) 7 Geophysics (86-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral equations (45-XX) 4 Mathematics education (97-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Integral transforms, operational calculus (44-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 226 Publications have been cited 3,842 times in 2,631 Documents Cited by ▼ Year ▼ Advances in fractional calculus. Theoretical developments and applications in physics and engineering. Zbl 1116.00014 671 2007 Recent history of fractional calculus. Zbl 1221.26002Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco 384 2011 Analysis and design of fractional-order digital control systems. Zbl 0875.93154Machado, J. A. Tenreiro 98 1997 What is a fractional derivative? Zbl 1349.26016Ortigueira, Manuel D.; Tenreiro Machado, J. A. 87 2015 New trends in nanotechnology and fractional calculus applications. Selected papers based on the presentations at the workshop new trends in science and technology (NTST 08), and the workshop fractional differentiation and its applications (FDA 09), Ankara, Türkei, November 2008. Zbl 1196.65021 85 2010 Fractional dynamics and control. Papers based on the presentations at the 3rd conference on nonlinear science and complexity (NSC) Ankara, Turkey, July 27–31, 2010. Zbl 1231.93003 76 2012 Discrete-time fractional-order controllers. Zbl 1111.93307Machado, J. A. Tenreiro 64 2001 A review of operational matrices and spectral techniques for fractional calculus. Zbl 1348.65106Bhrawy, Ali H.; Taha, Taha M.; Tenreiro Machado, José A. 64 2015 Fractional control of heat diffusion systems. Zbl 1210.80008Jesus, Isabel S.; Tenreiro Machado, J. A. 62 2008 Some applications of fractional calculus in engineering. Zbl 1191.26004Tenreiro Machado, J. A.; Silva, Manuel F.; Barbosa, Ramiro S.; Jesus, Isabel S.; Reis, Cecília M.; Marcos, Maria G.; Galhano, Alexandra F. 60 2010 On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo 58 2016 A review of definitions for fractional derivatives and integral. Zbl 1407.26013de Oliveira, Edmundo Capelas; Tenreiro Machado, José António 52 2014 Analysis of the van der Pol oscillator containing derivatives of fractional order. Zbl 1158.70009Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Vinagre, B. M.; Calderón, A. J. 44 2007 Optimal variable-order fractional PID controllers for dynamical systems. Zbl 1392.49033Dabiri, A.; Moghaddam, B. P.; Machado, J. A. Tenreiro 44 2018 Tuning of PID controllers based on Bode’s ideal transfer function. Zbl 1134.93334Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Ferreira, Isabel M. 41 2004 A probabilistic interpretation of the fractional-order differentiation. Zbl 1035.26010Machado, J. A. Tenreiro 40 2003 The role of fractional calculus in modeling biological phenomena: a review. Zbl 1467.92050Ionescu, Claramihaela; Lopes, A.; Copot, Dana; Machado, J. A. T.; Bates, Jason H. T. 39 2017 Some pioneers of the applications of fractional calculus. Zbl 1305.26008Valério, Duarte; Machado, José Tenreiro; Kiryakova, Virginia 38 2014 A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels. Zbl 1376.65159Parsa Moghaddam, Behrouz; Tenreiro Machado, José António 38 2017 Historical survey: the chronicles of fractional calculus. Zbl 1364.26002Machado, J. A. Tenreiro; Kiryakova, Virginia 37 2017 Extended algorithms for approximating variable order fractional derivatives with applications. Zbl 1370.26017Moghaddam, Behrouz Parsa; Tenreiro Machado, José António 36 2017 A poster about the recent history of fractional calculus. Zbl 1221.26013Tenreiro-Machado, J. A.; Kiryakova, Virginia; Mainardi, Francesco 34 2010 And I say to myself: “What a fractional world!”. Zbl 1273.37002Tenreiro Machado, J. A. 32 2011 Chaotic phenomena and fractional-order dynamics in the trajectory control of redundant manipulators. Zbl 1027.70011Duarte, Fernando B. M.; Machado, J. A. Tenreiro 31 2002 A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations. Zbl 1412.65084Moghaddam, B. P.; Machado, J. A. T. 31 2017 An efficient numerical scheme for solving multi-dimensional fractional optimal control problems with a quadratic performance index. Zbl 1341.49037Bhrawy, A. H.; Doha, E. H.; Machado, J. A. Tenreiro; Ezz-Eldien, S. S. 30 2015 Stability of fractional order systems. Zbl 1296.93172Rivero, Margarita; Rogosin, Sergei V.; Machado, José A. Tenreiro; Trujillo, Juan J. 30 2013 Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions. Zbl 1285.93024Machado, José A.; Ravichandran, Chokkalingam; Rivero, Margarita; Trujillo, Juan J. 30 2013 A poster about the old history of fractional calculus. Zbl 1222.26015Tenreiro Machado, J. A.; Kiryakova, Virginia; Mainardi, Francesco 30 2010 An integro quadratic spline approach for a class of variable-order fractional initial value problems. Zbl 1422.65131Moghaddam, B. P.; Machado, J. A. T.; Behforooz, H. 30 2017 A new family of the local fractional PDEs. Zbl 1386.35461Yang, Xiao-Jun; Machado, J. A. Tenreiro; Nieto, Juan J. 29 2017 Efficient Legendre spectral tau algorithm for solving the two-sided space-time Caputo fractional advection-dispersion equation. Zbl 1365.35201Bhrawy, A. H.; Zaky, M. A.; Tenreiro Machado, J. A. 29 2016 Fractional order calculus: basic concepts and engineering applications. Zbl 1190.26002Gutiérrez, Ricardo Enrique; Rosário, João Maurício; Tenreiro Machado, José 28 2010 A new fractal nonlinear Burgers’ equation arising in the acoustic signals propagation. Zbl 1435.35412Yang, Xiao-Jun; Machado, J. A. Tenreiro 28 2019 Fractional electrical impedances in botanical elements. Zbl 1229.78023Jesus, Isabel S.; Tenreiro Machado, J. A.; Cunha, J. Boaventure 27 2008 Fractional-order control of a hexapod robot. Zbl 1096.70004Silva, Manuel F.; Machado, J. A. T.; Lopes, A. M. 27 2004 Development of fractional order capacitors based on electrolyte processes. Zbl 1173.78313Jesus, Isabel S.; Tenreiro Machado, J. A. 27 2009 A spectral framework for fractional variational problems based on fractional Jacobi functions. Zbl 06902342Zaky, M. A.; Doha, E. H.; Tenreiro Machado, J. A. 27 2018 Entropy analysis of integer and fractional dynamical systems. Zbl 1211.37057Tenreiro Machado, J. A. 26 2010 A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach. Zbl 1410.65415Yang, Xiao-Jun; Tenreiro Machado, J. A.; Srivastava, H. M. 26 2016 Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow. Zbl 1354.35180Yang, Xiao-Jun; Machado, J. A. Tenreiro; Hristov, Jordan 26 2016 A review of definitions of fractional derivatives and other operators. Zbl 1452.26008Sales Teodoro, G.; Tenreiro Machado, J. A.; de Oliveira, E. Capelas 26 2019 Time domain design of fractional differintegrators using least-squares. Zbl 1172.94364Barbosa, Ramiro S.; Machado, J. A. Tenreiro; Silva, Manuel F. 25 2006 Fractional calculus: quo vadimus? (where are we going?). Zbl 1309.26011Tenreiro Machado, J.; Mainardi, Francesco; Kiryakova, Virginia 25 2015 Systems of Navier-Stokes equations on Cantor sets. Zbl 1299.76047Yang, Xiao-Jun; Baleanu, Dumitru; Tenreiro Machado, J. A. 25 2013 Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation. Zbl 1471.65157Bhrawy, Ali H.; Zaky, Mahmoud A.; Machado, José A. Tenreiro 25 2017 Science metrics on fractional calculus development since 1966. Zbl 1312.26004Machado, J. Tenreiro; Galhano, Alexandra M.; Trujillo, Juan J. 24 2013 Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis. Zbl 1296.35154Yang, Xiao-Jun; Baleanu, Dumitru; Machado, José António Tenreiro 24 2013 SM-algorithms for approximating the variable-order fractional derivative of high order. Zbl 1377.65031Moghaddam, B. P.; Machado, J. A. T. 23 2017 Editorial: Fractional calculus applications in signals and systems. Zbl 1172.94301Ortigueira, Manuel Duarte; Machado, J. A. Tenreiro 22 2006 Fractional dynamics in DNA. Zbl 1218.92038Tenreiro Machado, J. A.; Costa, António C.; Quelhas, Maria Dulce 21 2011 Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators. Zbl 1468.35226Baleanu, Dumitru; Tenreiro Machado, J. A.; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-Jun 21 2014 Application of fractional calculus in the dynamical analysis and control of mechanical manipulators. Zbl 1159.26303Fonseca Ferreira, N. M.; Duarte, Fernando B.; Lima, Miguel F. M.; Marcos, Maria G.; Machado, J. A. Tenreiro 18 2008 Numerical approach for a class of distributed order time fractional partial differential equations. Zbl 1407.65122Moghaddam, B. P.; Machado, J. A. Tenreiro; Morgado, M. L. 17 2019 Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 1471.65162Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro 17 2021 Optimal tuning of fractional controllers using genetic algorithms. Zbl 1211.93070Tenreiro Machado, J. A. 15 2010 Fractional order PD\(^\alpha\) joint control of legged robots. Zbl 1182.70019Silva, Manuel F.; Machado, J. A. Tenreiro 15 2006 Fractional order dynamics in a GA planner. Zbl 1145.94371Pires, E. J. Solteiro; Machado, J. A. Tenreiro; De Moura Oliveira, P. B. 15 2003 Rhapsody in fractional. Zbl 1314.39007Tenreiro Machado, J.; Lopes, António M.; Duarte, Fernando B.; Ortigueira, Manuel D.; Rato, Raul T. 14 2014 Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations. Zbl 1452.65268Babaei, A.; Moghaddam, B. P.; Banihashemi, S.; Machado, J. A. T. 14 2020 Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. Zbl 1464.65151Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. 14 2020 An extension of estimation of domain of attraction for fractional order linear system subject to saturation control. Zbl 1319.93059Alaviyan Shahri, Esmat Sadat; Alfi, Alireza; Tenreiro Machado, J. A. 13 2015 Computational scheme for solving nonlinear fractional stochastic differential equations with delay. Zbl 07123588Moghaddam, B. P.; Mendes Lopes, A.; Tenreiro Machado, J. A.; Mostaghim, Z. S. 13 2019 New nonautonomous combined multi-wave solutions for \((2+1)\)-dimensional variable coefficients KdV equation. Zbl 1398.35102Osman, M. S.; Machado, J. A. T. 13 2018 A computationally efficient method for tempered fractional differential equations with application. Zbl 1405.65092Moghaddam, Behrouz Parsa; Tenreiro Machado, J. A.; Babaei, Afshin 13 2018 Fractional generalization of memristor and higher order elements. Zbl 1259.35219Tenreiro Machado, J. 12 2013 On the formulation and numerical simulation of distributed-order fractional optimal control problems. Zbl 07261224Zaky, M. A.; Tenreiro Machado, J. A. 12 2017 Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays. Zbl 1443.93108Chen, Liping; Huang, Tingwen; Machado, J. A. Tenreiro; Lopes, António M.; Chai, Yi; Wu, Ranchao 12 2019 Describing function of two masses with backlash. Zbl 1204.70022Duarte, Fernando B.; Tenreiro Machado, J. 11 2009 Particle swarm optimization with fractional-order velocity. Zbl 1204.90119Solteiro Pires, E. J.; Tenreiro Machado, J. A.; De Moura Oliveira, P. B.; Boaventura Cunha, J.; Mendes, Luís 11 2010 A review of power laws in real life phenomena. Zbl 1248.60020Pinto, Carla M. A.; Mendes Lopes, A.; Tenreiro Machado, J. A. 11 2012 Fractional order electromagnetics. Zbl 1172.94454Machado, J. A. Tenreiro; Jesus, Isabel S.; Galhano, Alexandra; Boaventura Cunha, J. 11 2006 Analysis of natural and artificial phenomena using signal processing and fractional calculus. Zbl 1323.92092Machado, J. A. Tenreiro; Lopes, António M. 11 2015 Introduction to fractional differential equations. Zbl 1417.34004Milici, Constantin; Drăgănescu, Gheorghe; Machado, José António Tenreiro 11 2019 Fractional calculus: D’où venons-nous? Que sommes-nous? Où allons-nous? (Contributions to Round Table Discussion held at ICFDA 2016). Zbl 1351.26017Tenreiro Machado, José António; Mainardi, Francesco; Kiryakova, Virginia; Atanacković, Teodor 11 2016 Dynamics of the dow Jones and the NASDAQ stock indexes. Zbl 1204.91110Duarte, Fernando B.; Tenreiro Machado, J. A.; Monteiro Duarte, Gonçalo 10 2010 Delay independent robust stability analysis of delayed fractional quaternion-valued leaky integrator echo state neural networks with QUAD condition. Zbl 1428.34020Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Tenreiro Machado, J. A. 10 2019 Stability and synchronization of fractional-order memristive neural networks with multiple delays. Zbl 1437.93098Chen, Liping; Cao, Jinde; Wu, Ranchao; Machado, J. A. Tenreiro; Lopes, António M.; Yang, Hejun 10 2017 Variable order fractional systems. Zbl 1464.26007Ortigueira, Manuel D.; Valério, Duarte; Tenreiro Machado, J. 10 2019 A critical analysis of the conformable derivative. Zbl 1437.26006Abdelhakim, Ahmed A.; Machado, José A. Tenreiro 10 2019 Approximating fractional derivatives in the perspective of system control. Zbl 1204.93060Tenreiro Machado, J. A.; Galhano, Alexandra 9 2009 Describing function analysis of systems with impacts and blacklash. Zbl 1030.70012Barbosa, R. S.; Machado, J. A. Tenreiro 9 2002 Fractional-order derivative approximations in discrete-time control systems. Zbl 0979.93519Machado, J. A. Tenreiro 9 1999 Chaos suppression in fractional systems using adaptive fractional state feedback control. Zbl 1375.93061Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Machado, J. A. Tenreiro 9 2017 Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials. Zbl 1449.65143Moghaddam, B. P.; Dabiri, A.; Lopes, António M.; Machado, J. A. Tenreiro 9 2019 Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay. Zbl 1398.93281Li, Penghua; Chen, Liping; Wu, Ranchao; Tenreiro Machado, J. A.; Lopes, António M.; Yuan, Liguo 9 2018 Approximating fractional derivatives through the generalized mean. Zbl 1221.26012Tenreiro Machado, J. A.; Galhano, Alexandra M.; Oliveira, Anabela M.; Tar, József K. 8 2009 Calculation of fractional derivatives of noisy data with genetic algorithms. Zbl 1176.94016Tenreiro Machado, J. A. 8 2009 Control of a heat diffusion system through a fractional order nonlinear algorithm. Zbl 1189.93047Jesus, Isabel S.; Tenreiro Machado, J. A.; Barbosa, Ramiro S. 8 2010 A critical analysis of the Caputo-Fabrizio operator. Zbl 07263368Ortigueira, Manuel D.; Tenreiro Machado, J. 8 2018 A new numerical technique for local fractional diffusion equation in fractal heat transfer. Zbl 1374.76210Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Gao, Feng 8 2016 Jacobi collocation approximation for solving multi-dimensional Volterra integral equations. Zbl 1401.65148Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Bhrawy, Ali H.; Tenreiro Machado, José A.; Lopes, António M. 8 2017 Fractional-order impulse response of the respiratory system. Zbl 1228.65251Ionescu, Clara; Tenreiro Machado, José; De Keyser, Robin 7 2011 Entropy analysis of the DNA code dynamics in human chromosomes. Zbl 1228.94032Tenreiro Machado, J. A.; Costa, António C.; Quelhas, Maria Dulce 7 2011 Fractional dynamics of a system with particles subjected to impacts. Zbl 1231.82044Tenreiro Machado, J. A. 7 2011 Time-delay and fractional derivatives. Zbl 1213.26009Tenreiro Machado, J. A. 7 2011 Numerical investigation of the nonlinear modified anomalous diffusion process. Zbl 1430.60091Nikan, O.; Tenreiro Machado, J. A.; Golbabai, A.; Nikazad, T. 7 2019 The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type. Zbl 1439.35529Gaber, A. A.; Aljohani, A. F.; Ebaid, A.; Machado, J. Tenreiro 7 2019 Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE. Zbl 1450.35267Hassani, Hossein; Tenreiro Machado, J. A.; Avazzadeh, Zakieh; Naraghirad, E. 7 2020 Stability analysis of a class of nonlinear fractional-order systems under control input saturation. Zbl 1391.93177Shahri, Esmat Sadat Alaviyan; Alfi, Alireza; Machado, J. A. Tenreiro 7 2018 Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 1471.65162Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro 17 2021 An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay. Zbl 1455.65017Moghaddam, B. P.; Mostaghim, Z. S.; Pantelous, Athanasios A.; Machado, J. A. Tenreiro 4 2021 Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments. Zbl 1481.65196Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A. 4 2021 Complex-order particle swarm optimization. Zbl 1454.90116Tenreiro Machado, J. A.; Abedi Pahnehkolaei, Seyed Mehdi; Alfi, Alireza 3 2021 Optimal control of variable-order fractional model for delay cancer treatments. Zbl 1481.92071Sweilam, N. H.; AL-Mekhlafi, S. M.; Albalawi, A. O.; Tenreiro Machado, J. A. 2 2021 Multidimensional scaling analysis of generalized mean discrete-time fractional order controllers. Zbl 1458.93114Lopes, António M.; Machado, J. A. Tenreiro 1 2021 An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment. Zbl 1481.49037Hassani, H.; Machado, J. A. Tenreiro; Mehrabi, S. 1 2021 Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model. Zbl 1481.65150Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. 1 2021 Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations. Zbl 1452.65268Babaei, A.; Moghaddam, B. P.; Banihashemi, S.; Machado, J. A. T. 14 2020 Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. Zbl 1464.65151Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. 14 2020 Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE. Zbl 1450.35267Hassani, Hossein; Tenreiro Machado, J. A.; Avazzadeh, Zakieh; Naraghirad, E. 7 2020 A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay. Zbl 1436.65215Mokhtary, P.; Moghaddam, B. P.; Lopes, A. M.; Machado, J. A. Tenreiro 6 2020 Comments on: “The failure of certain fractional calculus operators in two physical models”. Zbl 1437.26008Baleanu, Dumitru 6 2020 An efficient numerical technique for variable order time fractional nonlinear Klein-Gordon equation. Zbl 1446.65127Hassani, H.; Machado, J. A. Tenreiro; Naraghirad, E. 5 2020 An innovative fractional order LMS algorithm for power signal parameter estimation. Zbl 1481.94050Chaudhary, Naveed Ishtiaq; Latif, Rizwan; Zahoor Raja, Muhammad Asif; Machado, J. A. Tenreiro 5 2020 Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. Zbl 1443.65257Zaky, Mahmoud A.; Machado, J. Tenreiro 4 2020 Output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems. Zbl 1463.93078Chen, Liping; Li, Tingting; Wu, Ranchao; Lopes, António M.; Machado, J. A. Tenreiro; Wu, Kehan 3 2020 On the properties of some operators under the perspective of fractional system theory. Zbl 1468.34012Ortigueira, Manuel D.; Tenreiro Machado, J. 3 2020 Time-fractional dependence of the shear force in some beam type problems with negative Young modulus. Zbl 1481.74429Cao Labora, Daniel; Lopes, António M.; Machado, J. A. Tenreiro 2 2020 Stability analysis of fractional order neutral-type systems considering time varying delays, nonlinear perturbations, and input saturation. Zbl 1455.93147Aghayan, Zahra Sadat; Alfi, Alireza; Machado, J. A. Tenreiro 2 2020 The \(\psi\)-Hilfer fractional calculus of variable order and its applications. Zbl 1476.26004Vanterler da C. Sousa, J.; Machado, J. A. Tenreiro; de Oliveira, E. Capelas 2 2020 Nonlinear dynamics and control. Proceedings of the first international nonlinear dynamics conference, NODYCON 2019, Rome, Italy, February 17–20, 2019. Volume II. Zbl 1454.93003 1 2020 A combined measure to differentiate EEG signals using fractal dimension and MFDFA-Hurst. Zbl 1451.92182David, S. A.; Machado, J. A. T.; Inácio, C. M. C.; Valentim, C. A. 1 2020 Multidimensional scaling and visualization of patterns in prime numbers. Zbl 1476.11123Machado, J. Tenreiro; Lopes, António M. 1 2020 Generalized Bernoulli polynomials: solving nonlinear 2D fractional optimal control problems. Zbl 1443.93061Hassani, H.; Machado, J. A. Tenreiro; Avazzadeh, Zakieh; Naraghirad, E.; Dahaghin, M. Sh. 1 2020 Fuzzy logic embedding of fractional order sliding mode and state feedback controllers for synchronization of uncertain fractional chaotic systems. Zbl 1449.93164Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Machado, J. A. Tenreiro 1 2020 On dual Bernstein polynomials and stochastic fractional integro-differential equations. Zbl 1456.60167Sayevand, Khosro; Machado, J. Tenreiro; Masti, Iman 1 2020 Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials. Zbl 1476.35310Hassani, H.; Machado, J. A. Tenreiro; Naraghirad, E.; Sadeghi, B. 1 2020 Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation. Zbl 1481.93103Alaviyan Shahri, Esmat Sadat; Alfi, Alireza; Machado, J. A. Tenreiro 1 2020 A numerical algorithm for solving the Cauchy singular integral equation based on Hermite polynomials. Zbl 07419734Moghaddam, B. Parsa; Tenreiro Machado, J. A.; Shajari, Parisa Sattari; Salamat Mostaghim, Zeynab 1 2020 A new fractal nonlinear Burgers’ equation arising in the acoustic signals propagation. Zbl 1435.35412Yang, Xiao-Jun; Machado, J. A. Tenreiro 28 2019 A review of definitions of fractional derivatives and other operators. Zbl 1452.26008Sales Teodoro, G.; Tenreiro Machado, J. A.; de Oliveira, E. Capelas 26 2019 Numerical approach for a class of distributed order time fractional partial differential equations. Zbl 1407.65122Moghaddam, B. P.; Machado, J. A. Tenreiro; Morgado, M. L. 17 2019 Computational scheme for solving nonlinear fractional stochastic differential equations with delay. Zbl 07123588Moghaddam, B. P.; Mendes Lopes, A.; Tenreiro Machado, J. A.; Mostaghim, Z. S. 13 2019 Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays. Zbl 1443.93108Chen, Liping; Huang, Tingwen; Machado, J. A. Tenreiro; Lopes, António M.; Chai, Yi; Wu, Ranchao 12 2019 Introduction to fractional differential equations. Zbl 1417.34004Milici, Constantin; Drăgănescu, Gheorghe; Machado, José António Tenreiro 11 2019 Delay independent robust stability analysis of delayed fractional quaternion-valued leaky integrator echo state neural networks with QUAD condition. Zbl 1428.34020Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Tenreiro Machado, J. A. 10 2019 Variable order fractional systems. Zbl 1464.26007Ortigueira, Manuel D.; Valério, Duarte; Tenreiro Machado, J. 10 2019 A critical analysis of the conformable derivative. Zbl 1437.26006Abdelhakim, Ahmed A.; Machado, José A. Tenreiro 10 2019 Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials. Zbl 1449.65143Moghaddam, B. P.; Dabiri, A.; Lopes, António M.; Machado, J. A. Tenreiro 9 2019 Numerical investigation of the nonlinear modified anomalous diffusion process. Zbl 1430.60091Nikan, O.; Tenreiro Machado, J. A.; Golbabai, A.; Nikazad, T. 7 2019 The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type. Zbl 1439.35529Gaber, A. A.; Aljohani, A. F.; Ebaid, A.; Machado, J. Tenreiro 7 2019 A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains. Zbl 1449.65164Azin, H.; Mohammadi, F.; Machado, J. A. Tenreiro 7 2019 The failure of certain fractional calculus operators in two physical models. Zbl 1427.93054Ortigueira, Manuel D.; Martynyuk, Valeriy; Fedula, Mykola; Machado, J. Tenreiro 7 2019 Delay-dependent stability analysis of the QUAD vector field fractional order quaternion-valued memristive uncertain neutral type leaky integrator echo state neural networks. Zbl 1443.93101Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Machado, J. A. Tenreiro 7 2019 An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique. Zbl 1430.34005Hassani, H.; Machado, J. A. Tenreiro; Avazzadeh, Z. 6 2019 Generalized shifted Chebyshev polynomials for fractional optimal control problems. Zbl 1462.49014Hassani, Hossein; Tenreiro Machado, J. A.; Naraghirad, E. 4 2019 Fractional derivatives and negative probabilities. Zbl 07264540Tenreiro Machado, J. 4 2019 A new non-standard finite difference method for analyzing the fractional Navier-Stokes equations. Zbl 1442.65177Sayevand, K.; Machado, J. Tenreiro; Moradi, V. 3 2019 Fractional calculus. Selected papers from the international conference on fractional differentiation and its applications (ICFDA 2018), Amman, Jordan, July 16–18, 2018. Zbl 1444.26001 2 2019 On the numerical computation of the Mittag-Leffler function. Zbl 07168325Ortigueira, Manuel D.; Lopes, António M.; Tenreiro Machado, José 1 2019 Analysis of the two-dimensional fractional projectile motion in view of the experimental data. Zbl 1430.70003Ebaid, A.; El-Zahar, E. R.; Aljohani, A. F.; Salah, Bashir; Krid, Mohammed; Machado, J. Tenreiro 1 2019 Information analysis of the human DNA. Zbl 1430.92062Machado, J. Tenreiro 1 2019 The Lorentz transformations and one observation in the perspective of fractional calculus. Zbl 1476.83002Cao Labora, Daniel; Lopes, António M.; Tenreiro Machado, J. A. 1 2019 A computational perspective of the periodic table of elements. Zbl 1476.62022Tenreiro Machado, J.; Lopes, António M. 1 2019 Multidimensional scaling analysis of the solar system objects. Zbl 07264550Tenreiro Machado, J.; Mehdipour, S. Hamid 1 2019 Fractional-order modeling of a diode. Zbl 1464.82023Tenreiro Machado, J. A.; Lopes, António M. 1 2019 Ranking the scientific output of researchers in fractional calculus. Zbl 1426.26016Machado, J. A. Tenreiro; Lopes, António M. 1 2019 A survey on fractional asymptotic expansion method: a forgotten theory. Zbl 1437.34014Sayevand, Khosro; Machado, José A. Tenreiro 1 2019 Optimal variable-order fractional PID controllers for dynamical systems. Zbl 1392.49033Dabiri, A.; Moghaddam, B. P.; Machado, J. A. Tenreiro 44 2018 A spectral framework for fractional variational problems based on fractional Jacobi functions. Zbl 06902342Zaky, M. A.; Doha, E. H.; Tenreiro Machado, J. A. 27 2018 New nonautonomous combined multi-wave solutions for \((2+1)\)-dimensional variable coefficients KdV equation. Zbl 1398.35102Osman, M. S.; Machado, J. A. T. 13 2018 A computationally efficient method for tempered fractional differential equations with application. Zbl 1405.65092Moghaddam, Behrouz Parsa; Tenreiro Machado, J. A.; Babaei, Afshin 13 2018 Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay. Zbl 1398.93281Li, Penghua; Chen, Liping; Wu, Ranchao; Tenreiro Machado, J. A.; Lopes, António M.; Yuan, Liguo 9 2018 A critical analysis of the Caputo-Fabrizio operator. Zbl 07263368Ortigueira, Manuel D.; Tenreiro Machado, J. 8 2018 Stability analysis of a class of nonlinear fractional-order systems under control input saturation. Zbl 1391.93177Shahri, Esmat Sadat Alaviyan; Alfi, Alireza; Machado, J. A. Tenreiro 7 2018 Stabilization of uncertain multi-order fractional systems based on the extended state observer. Zbl 1398.93306Chen, Liping; Chen, Gang; Wu, Ranchao; Machado, J. A. Tenreiro; Lopes, António M.; Ge, Suoliang 4 2018 Robust stability and stabilization of uncertain fractional order systems subject to input saturation. Zbl 1400.93252Alaviyan Shahri, Esmat Sadat; Alfi, Alireza; Tenreiro Machado, J. A. 4 2018 Fractional dynamic behavior in ethanol prices series. Zbl 1462.62717David, S. A.; Quintino, D. D.; Inacio, C. M. C. jun.; Machado, J. A. T. 4 2018 Fractional-order model of wine. Zbl 1386.78019Lopes, António M.; Tenreiro Machado, J. A.; Ramalho, Elisa 3 2018 A new operational approach for solving fractional variational problems depending on indefinite integrals. Zbl 07263284Ezz-Eldien, S. S.; Doha, E. H.; Bhrawy, A. H.; El-Kalaawy, A. A.; Machado, J. A. T. 3 2018 An accurate and cost-efficient numerical approach to analyze the initial and boundary value problems of fractional multi-order. Zbl 1424.65100Sayevand, K.; Machado, J. Tenreiro 2 2018 The role of fractional calculus in modeling biological phenomena: a review. Zbl 1467.92050Ionescu, Claramihaela; Lopes, A.; Copot, Dana; Machado, J. A. T.; Bates, Jason H. T. 39 2017 A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels. Zbl 1376.65159Parsa Moghaddam, Behrouz; Tenreiro Machado, José António 38 2017 Historical survey: the chronicles of fractional calculus. Zbl 1364.26002Machado, J. A. Tenreiro; Kiryakova, Virginia 37 2017 Extended algorithms for approximating variable order fractional derivatives with applications. Zbl 1370.26017Moghaddam, Behrouz Parsa; Tenreiro Machado, José António 36 2017 A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations. Zbl 1412.65084Moghaddam, B. P.; Machado, J. A. T. 31 2017 An integro quadratic spline approach for a class of variable-order fractional initial value problems. Zbl 1422.65131Moghaddam, B. P.; Machado, J. A. T.; Behforooz, H. 30 2017 A new family of the local fractional PDEs. Zbl 1386.35461Yang, Xiao-Jun; Machado, J. A. Tenreiro; Nieto, Juan J. 29 2017 Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation. Zbl 1471.65157Bhrawy, Ali H.; Zaky, Mahmoud A.; Machado, José A. Tenreiro 25 2017 SM-algorithms for approximating the variable-order fractional derivative of high order. Zbl 1377.65031Moghaddam, B. P.; Machado, J. A. T. 23 2017 On the formulation and numerical simulation of distributed-order fractional optimal control problems. Zbl 07261224Zaky, M. A.; Tenreiro Machado, J. A. 12 2017 Stability and synchronization of fractional-order memristive neural networks with multiple delays. Zbl 1437.93098Chen, Liping; Cao, Jinde; Wu, Ranchao; Machado, J. A. Tenreiro; Lopes, António M.; Yang, Hejun 10 2017 Chaos suppression in fractional systems using adaptive fractional state feedback control. Zbl 1375.93061Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Machado, J. A. Tenreiro 9 2017 Jacobi collocation approximation for solving multi-dimensional Volterra integral equations. Zbl 1401.65148Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Bhrawy, Ali H.; Tenreiro Machado, José A.; Lopes, António M. 8 2017 On a fractal LC-electric circuit modeled by local fractional calculus. Zbl 07257489Yang, Xiao-Jun; Tenreiro Machado, J. A.; Cattani, Carlo; Gao, Feng 6 2017 Generation of a family of fractional order hyper-chaotic multi-scroll attractors. Zbl 1380.34119Chen, Liping; Pan, Wei; Wang, Kunpeng; Wu, Ranchao; Machado, J. A. Tenreiro; Lopes, António M. 6 2017 A new insight into complexity from the local fractional calculus view point: modelling growths of populations. Zbl 1381.92088Yang, Xiao-Jun; Machado, J. A. Tenreiro 5 2017 A fractional perspective on the trajectory control of redundant and hyper-redundant robot manipulators. Zbl 1443.70014Tenreiro Machado, J. A.; Lopes, António M. 3 2017 Multidimensional scaling analysis of soccer dynamics. Zbl 1446.62338Tenreiro Machado, J. A.; Lopes, António M. 2 2017 Dynamics of the \(N\)-link pendulum: a fractional perspective. Zbl 1417.70005Lopes, António M.; Tenreiro Machado, J. A. 2 2017 Solved problems in dynamical systems and control. Zbl 1354.00006Tenreiro Machado, José; Lopes, António M.; Valério, Duarte; Galhano, Alexandra M. 1 2017 Generalized two-port elements. Zbl 1473.94169Tenreiro Machado, J.; Galhano, Alexandra M. 1 2017 Dynamic stability analysis of fractional order leaky integrator echo state neural networks. Zbl 07257498Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Tenreiro Machado, J. A. 1 2017 On the mathematical modeling of soccer dynamics. Zbl 07261243Tenreiro Machado, J. A.; Lopes, António M. 1 2017 Erratum to: “Some pioneers of the applications of fractional calculus”. Zbl 1473.26003Valério, Duarte; Tenreiro Machado, José; Kiryakova, Virginia 1 2017 On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo 58 2016 Efficient Legendre spectral tau algorithm for solving the two-sided space-time Caputo fractional advection-dispersion equation. Zbl 1365.35201Bhrawy, A. H.; Zaky, M. A.; Tenreiro Machado, J. A. 29 2016 A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach. Zbl 1410.65415Yang, Xiao-Jun; Tenreiro Machado, J. A.; Srivastava, H. M. 26 2016 Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow. Zbl 1354.35180Yang, Xiao-Jun; Machado, J. A. Tenreiro; Hristov, Jordan 26 2016 ...and 126 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,736 Authors 160 Machado, José António Tenreiro 151 Băleanu, Dumitru I. 74 Ahmad, Bashir 52 Ntouyas, Sotiris K. 39 Al-saedi, Ahmed Eid Salem 36 Yang, Xiao-Jun 33 Lopes, António M. 30 Tarasov, Vasily E. 29 Wang, Jinrong 25 Chen, Yangquan 24 Agarwal, Ravi P. 24 Wang, Guotao 23 de Oliveira, Edmundo Capelas 23 Zaky, Mahmoud A. 21 Ibrahim, Rabha Waell 21 Luca, Rodica 20 Torres, Delfim Fernando Marado 19 Nieto Roig, Juan Jose 19 Zhang, Lihong 18 Abdeljawad, Thabet 18 Bhrawy, Ali Hassan 17 Abdelkawy, Mohamed A. 17 Avazzadeh, Zakieh 16 Jafari, Hossein 16 Sayevand, Khosro 16 Trujillo, Juan J. 15 Benchohra, Mouffak 15 Cattani, Carlo 15 Henderson, Johnny Lee 15 Moghaddam, Behrouz Parsa 15 Ordokhani, Yadollah 15 Singh, Jagdev 15 Tavazoei, Mohammad Saleh 14 Shah, Kamal 14 Tariboon, Jessada 13 Gómez-Aguilar, José Francisco 13 Kumar, Devendra 13 Momani, Shaher M. 13 Srivastava, Hari Mohan 13 Zhao, Yang 12 Agarwal, Praveen 12 Atangana, Abdon 12 Haeri, Mohammad 12 Jarad, Fahd 12 Vanterler da Costa Sousa, José 11 Alfi, Alireza 11 Ezz-Eldien, Samer S. 11 Nikan, Omid 11 Ortigueira, Manuel D. 10 Balachandran, Krishnan 10 Bettayeb, Maamar 10 Dehghan Takht Fooladi, Mehdi 10 Doha, Eid H. 10 Hassani, Hossein 10 Khan, Rahmat Ali 10 Liu, Fawang 10 Raja, Muhammad Asif Zahoor 10 Shang, Pengjian 9 Cao, Jinde 9 Fečkan, Michal 9 Golmankhaneh, Alireza Khalili 9 Sabatier, Jocelyn 9 Xu, Wei 8 Barbosa, Ramiro S. 8 Caponetto, Riccardo 8 El-Nabulsi, Rami Ahmad 8 Heydari, Mohammad Hossien 8 Kiryakova, Virginia S. 8 Kumar, Sunil 8 Li, Changpin 8 Malinowska, Agnieszka Barbara 8 Ouannas, Adel 8 Razzaghi, Mohsen 8 Salahshour, Soheil 8 Vijayakumar, Velusamy 8 Wei, Yiheng 8 Xu, Yufeng 8 Zada, Akbar 7 Ahmadian, Ali 7 Almeida, Ricardo 7 Bhalekar, Sachin 7 Djennoune, Said 7 Fernandez, Arran 7 Gao, Zhe 7 Golbabai, Ahmad 7 Jalab, Hamid A. 7 Jesus, Isabel S. 7 Li, Yan 7 Liu, Sanyang 7 Liu, Wenbin 7 Malik, Salman A. 7 Pinto, Carla M. A. 7 Sun, Hongguang 7 Sweilam, Nasser Hassan 7 Ur Rehman, Mujeeb 7 Wang, Yong 7 Youssri, Youssri H. 7 Yu, Yongguang 7 Zhou, Yong 6 Abbas, Said ...and 3,636 more Authors all top 5 Cited in 303 Serials 161 Advances in Difference Equations 156 Nonlinear Dynamics 122 Computational and Applied Mathematics 121 Fractional Calculus & Applied Analysis 111 Communications in Nonlinear Science and Numerical Simulation 108 Applied Mathematics and Computation 97 Abstract and Applied Analysis 85 Chaos, Solitons and Fractals 80 Computers & Mathematics with Applications 62 Mathematical Problems in Engineering 58 Journal of Computational and Applied Mathematics 44 Applied Mathematical Modelling 41 Fractals 39 Applied Numerical Mathematics 30 Advances in Mathematical Physics 29 Journal of Function Spaces 28 Boundary Value Problems 27 Journal of Vibration and Control 27 Discrete Dynamics in Nature and Society 26 Journal of the Franklin Institute 26 International Journal of Nonlinear Sciences and Numerical Simulation 26 Journal of Applied Mathematics and Computing 26 International Journal of Applied and Computational Mathematics 25 Journal of Nonlinear Science and Applications 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 22 Mathematics and Computers in Simulation 22 Applied Mathematics Letters 21 Automatica 21 Chaos 21 Asian Journal of Control 19 Journal of Optimization Theory and Applications 19 International Journal of Systems Science. Principles and Applications of Systems and Integration 16 Journal of Computational Physics 16 Signal Processing 16 International Journal of Computer Mathematics 16 Mediterranean Journal of Mathematics 15 Complexity 15 Mathematical Sciences 15 Computational Methods for Differential Equations 15 AIMS Mathematics 14 Physica A 13 Mathematical Methods in the Applied Sciences 13 Numerical Algorithms 12 Journal of Mathematical Physics 12 Discrete and Continuous Dynamical Systems. Series S 11 Journal of Scientific Computing 11 Differential Equations and Dynamical Systems 11 Journal of Inequalities and Applications 11 Journal of Applied Mathematics 11 Entropy 11 International Journal of Differential Equations 10 Nonlinear Analysis. Modelling and Control 9 Circuits, Systems, and Signal Processing 9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 8 International Journal of Theoretical Physics 8 Journal of Mathematical Analysis and Applications 8 International Journal of Applied Mathematics and Computer Science 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Journal of Applied Analysis and Computation 7 International Journal of Control 7 Fractional Differential Calculus 7 Evolution Equations and Control Theory 7 Journal of Mathematics 6 Meccanica 6 Results in Mathematics 6 Neural Networks 6 Engineering Analysis with Boundary Elements 6 Inverse Problems in Science and Engineering 6 Mathematical Modelling of Natural Phenomena 6 International Journal of Biomathematics 6 Tbilisi Mathematical Journal 6 Journal of Mathematical Extension 6 Journal of Applied Nonlinear Dynamics 6 Mathematics 6 Open Mathematics 6 Communications on Applied Mathematics and Computation 5 Acta Mechanica 5 Physics Letters. A 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Mathematical and Computer Modelling 5 International Journal of Robust and Nonlinear Control 5 European Journal of Control 5 Lobachevskii Journal of Mathematics 5 Mathematical Modelling and Analysis 5 Journal of Function Spaces and Applications 5 Proyecciones 5 S\(\vec{\text{e}}\)MA Journal 4 Reports on Mathematical Physics 4 Journal of Geometry and Physics 4 Calcolo 4 Journal of Differential Equations 4 Stochastic Analysis and Applications 4 Filomat 4 Nonlinear Analysis. Real World Applications 4 Hacettepe Journal of Mathematics and Statistics 4 Fixed Point Theory and Applications 4 Journal of Pseudo-Differential Operators and Applications 3 Applicable Analysis 3 Rocky Mountain Journal of Mathematics 3 Bulletin of the Polish Academy of Sciences. Technical Sciences ...and 203 more Serials all top 5 Cited in 53 Fields 1,228 Ordinary differential equations (34-XX) 830 Real functions (26-XX) 620 Numerical analysis (65-XX) 609 Partial differential equations (35-XX) 451 Systems theory; control (93-XX) 205 Operator theory (47-XX) 181 Integral equations (45-XX) 172 Biology and other natural sciences (92-XX) 138 Dynamical systems and ergodic theory (37-XX) 127 Special functions (33-XX) 123 Calculus of variations and optimal control; optimization (49-XX) 93 Information and communication theory, circuits (94-XX) 87 Fluid mechanics (76-XX) 83 Mechanics of particles and systems (70-XX) 75 Probability theory and stochastic processes (60-XX) 73 Mechanics of deformable solids (74-XX) 65 Difference and functional equations (39-XX) 55 Integral transforms, operational calculus (44-XX) 51 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 49 Approximations and expansions (41-XX) 48 Statistical mechanics, structure of matter (82-XX) 42 Operations research, mathematical programming (90-XX) 40 Computer science (68-XX) 33 Statistics (62-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 29 Measure and integration (28-XX) 27 Optics, electromagnetic theory (78-XX) 24 Quantum theory (81-XX) 20 Classical thermodynamics, heat transfer (80-XX) 14 Number theory (11-XX) 14 Functions of a complex variable (30-XX) 14 Global analysis, analysis on manifolds (58-XX) 14 Geophysics (86-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Functional analysis (46-XX) 10 History and biography (01-XX) 8 Relativity and gravitational theory (83-XX) 6 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 5 Topological groups, Lie groups (22-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 4 Mathematics education (97-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 3 Astronomy and astrophysics (85-XX) 2 Mathematical logic and foundations (03-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.