Edit Profile (opens in new tab) Atangana, Abdon Co-Author Distance Author ID: atangana.abdon Published as: Atangana, Abdon; Atangana, A.; Abdon, Atangana more...less External Links: ORCID · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 197 Publications since 2013, including 7 Books and 3 Additional arXiv Preprints 10 Contributions as Editor Co-Authors: 119 Co-Authors with 190 Joint Publications 4,363 Co-Co-Authors all top 5 Co-Authors 16 single-authored 21 Owolabi, Kolade Matthew 17 Gómez-Aguilar, José Francisco 13 Alkahtani, Badr Saad T. 13 İğret Araz, Seda 13 Koca, Ilknur 9 Heydari, Mohammad Hossein 8 Doungmo Goufo, Emile Franc 8 Oukouomi Noutchie, Suares Clovis 7 Băleanu, Dumitru I. 7 Khan, Muhammad Altaf 6 Avazzadeh, Zakieh 6 Djida, Jean Daniel 6 Kiliçman, Adem 5 Abro, Kashif Ali 5 Bildik, Necdet 5 Riaz, Muhammad Bilal 4 Alqahtani, Rubayyi Turki 4 Jain, Sonal 3 Abdeljawad, Thabet 3 Akgül, Ali 3 Alharthi, Nadiyah Hussain 3 Allwright, Amy 3 Area, Iván 3 Hammouch, Zakia 3 Mekkaoui, Toufik 3 Panda, Sumati Kumari 3 Saad, Khaled Mohammed 3 Secer, Aydin 2 Bentout, Soufiane 2 Chaharpashlou, Reza 2 Djilali, Salih 2 Hristov, Jordan Yankov 2 Nieto Roig, Juan Jose 2 Qureshi, Sania 2 Saadati, Reza 2 Solís-Pérez, Jesús Emmanuel 1 Agarwal, Ritu 1 Ahmed, Aden Omar 1 Ahmed, O. Aden 1 Ak, Turgut 1 Akdemir, Ahmet Ocak 1 Al-Mekhlafi, Seham Mahyoub 1 Al Qurashi, Maysaa’ Mohamed 1 Alabaraoye, Ernestine 1 Ali, Javaid 1 Ali, Muhammad Nasir 1 Al-saedi, Ahmed Eid Salem 1 Alzahrani, Ebraheem O. 1 Amanda, Ramotsho 1 Asgir, Maryam 1 Asif, Naseer Ahmad 1 Asjad, Muhammad Imran 1 Assiri, Taghreed Abdul Rahman 1 Attia, Nourhane 1 Ávalos-Ruiz, L. F. 1 Bahaa, Gaber Mohamed 1 Batogna, Rodrigue Gnitchogna 1 Belhaouari, Samir Brahim 1 Boccaletti, Stefano 1 Botha, Joseph F. 1 Bouallegue, Ghaith 1 Bouallègue, Kais 1 Bulut, Hasan 1 Cen, Jinxia 1 Cloot, Alain H. J. J. 1 Demiray, Seyma Tuluce 1 Ditto, William L. 1 Dubey, Ravi Shanker 1 Dutta, Hemen 1 Elsadany, Abdelalim A. 1 Escobar-Jiménez, Ricardo Fabricio 1 Fatmawati, Fatmawati 1 Feulefack, Pierre Aime 1 Fulga, Andreea 1 Ghanbari, Behzad 1 Gnitchogna, Rodrigue 1 Hajikhah, Somayeh 1 Hashemi, Mir Sajjad 1 Hosseininia, Masoumeh 1 Husnine, Syed Muhammad 1 Jarad, Fahd 1 Kachhia, Krunal B. 1 Kahsay, Hafte Amsalu 1 Kameni, S. N. 1 Karapınar, Erdal 1 Khumalo, Melusi 1 Kukreja, Vijay Kumar 1 Kumar, Devendra 1 Kumar, Dinesh 1 Kumar, Sachin 1 Kumar, Sachin 1 Mephou, Gisele 1 Mindlin, Gabriel Bernardo 1 Mishra, Jyoti 1 Ndongmo, Emile Franc Goufo 1 Nguyen Van Thien 1 Owolabi Kolade, Matthew 1 Pareschi, Lorenzo 1 Pindza, Edson 1 Purohit, Sunil Dutt ...and 19 more Co-Authors all top 5 Serials 30 Chaos, Solitons and Fractals 18 Abstract and Applied Analysis 15 Discrete and Continuous Dynamical Systems. Series S 14 Advances in Difference Equations 13 Mathematical Problems in Engineering 8 Mathematical Methods in the Applied Sciences 8 Fractals 8 Journal of Nonlinear Science and Applications 7 Physica A 7 Numerical Methods for Partial Differential Equations 6 Journal of Computational and Applied Mathematics 5 Chaos 5 Mathematical Biosciences and Engineering 5 Mathematical Modelling of Natural Phenomena 2 Applied Mathematics and Computation 2 Demonstratio Mathematica 2 Computational and Applied Mathematics 2 Journal of Vibration and Control 2 International Journal of Biomathematics 2 Mathematics and Its Applications: Modelling, Engineering, and Social Sciences 1 Journal of Computational Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics and Computers in Simulation 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematical Modelling 1 Filomat 1 Engineering Analysis with Boundary Elements 1 Communications in Nonlinear Science and Numerical Simulation 1 Fundamenta Informaticae 1 Qualitative Theory of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Entropy 1 Boundary Value Problems 1 Springer Series in Computational Mathematics 1 Communications in Theoretical Physics 1 Advances in Mathematical Physics 1 Advances in Applied Mathematics and Mechanics 1 Journal of Mathematical Analysis 1 Journal of Applied Analysis and Computation 1 Springer Proceedings in Mathematics & Statistics 1 Mathematical Sciences 1 Journal of Function Spaces 1 Open Mathematics 1 Industrial and Applied Mathematics 1 Results in Applied Mathematics 1 Information Technology, Management and Operations Research Practices all top 5 Fields 98 Partial differential equations (35-XX) 88 Numerical analysis (65-XX) 64 Ordinary differential equations (34-XX) 61 Real functions (26-XX) 34 Biology and other natural sciences (92-XX) 19 Fluid mechanics (76-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Integral transforms, operational calculus (44-XX) 11 General and overarching topics; collections (00-XX) 10 Geophysics (86-XX) 8 Operator theory (47-XX) 6 Measure and integration (28-XX) 6 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 174 Publications have been cited 4,060 times in 2,093 Documents Cited by ▼ Year ▼ Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order. Zbl 1360.34150 Atangana, Abdon; Koca, Ilknur 335 2016 A fractional epidemiological model for computer viruses pertaining to a new fractional derivative. Zbl 1426.68015 Singh, Jagdev; Kumar, Devendra; Hammouch, Zakia; Atangana, Abdon 182 2018 On the new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation. Zbl 1410.35272 Atangana, Abdon 175 2016 Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. Zbl 1374.28002 Atangana, Abdon 161 2017 New properties of conformable derivative. Zbl 1354.26008 Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed 150 2015 Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties. Zbl 1514.34009 Atangana, Abdon 124 2018 Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010 Atangana, Abdon; Gómez-Aguilar, J. F. 118 2018 Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458 Atangana, Abdon; Alkahtani, Badr Saad T. 106 2015 New numerical approach for fractional differential equations. Zbl 1406.65045 Atangana, Abdon; Owolabi, Kolade M. 99 2018 Modeling attractors of chaotic dynamical systems with fractal-fractional operators. Zbl 1448.65268 Atangana, Abdon; Qureshi, Sania 97 2019 Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113 Atangana, Abdon; Gómez-aguilar, J. F. 90 2018 On the stability and convergence of the time-fractional variable order telegraph equation. Zbl 1349.65263 Atangana, Abdon 79 2015 A note on fractional order derivatives and table of fractional derivatives of some special functions. Zbl 1276.26010 Atangana, Abdon; Secer, Aydin 71 2013 On the formulation of Adams-bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. Zbl 1409.34016 Owolabi, Kolade M.; Atangana, Abdon 70 2019 Blind in a commutative world: simple illustrations with functions and chaotic attractors. Zbl 1415.34009 Atangana, Abdon 67 2018 Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative. Zbl 1380.65120 Owolabi, Kolade M.; Atangana, Abdon 54 2017 New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565 Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru 53 2018 Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws. Zbl 1374.34296 Atangana, Abdon; Gómez-Aguilar, J. F. 48 2017 Solving a system of fractional partial differential equations arising in the model of HIV infection of \(\mathrm{CD4}^{+}\) cells and attractor one-dimensional Keller-Segel equations. Zbl 1380.92026 Atangana, Abdon; Alabaraoye, Ernestine 47 2013 Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense. Zbl 1422.65178 Owolabi, Kolade M.; Atangana, Abdon 46 2017 On the new fractional derivative and application to nonlinear Baggs and Freedman model. Zbl 1335.34079 Atangana, Abdon; Koca, Ilknur 46 2016 A new application of fractional Atangana-Baleanu derivatives: designing ABC-fractional masks in image processing. Zbl 07527123 Ghanbari, Behzad; Atangana, Abdon 45 2020 The time-fractional coupled-Korteweg-de-Vries equations. Zbl 1291.35273 Atangana, Abdon; Secer, Aydin 45 2013 Mathematical analysis of dengue fever outbreak by novel fractional operators with field data. Zbl 07566479 Qureshi, Sania; Atangana, Abdon 45 2019 Analysis of non-homogeneous heat model with new trend of derivative with fractional order. Zbl 1360.35080 Alkahtani, Badr Saad T.; Atangana, Abdon 44 2016 The dynamics of COVID-19 with quarantined and isolation. Zbl 1486.92242 Khan, Muhammad Altaf; Atangana, Abdon; Alzahrani, Ebraheem; Fatmawati 44 2020 New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations. (New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burger’s equations.) Zbl 1432.35229 Saad, Khaled M.; Baleanu, Dumitru; Atangana, Abdon 44 2018 Numerical computation of a fractional derivative with non-local and non-singular kernel. Zbl 1416.65190 Djida, Jean Daniel; Atangana, A.; Area, I. 43 2017 Derivative with a new parameter. Theory, methods and applications. Zbl 1342.26020 Atangana, Abdon 41 2016 Controlling the wave movement on the surface of shallow water with the Caputo-Fabrizio derivative with fractional order. Zbl 1360.35164 Alkahtani, B. S. T.; Atangana, A. 40 2016 A new derivative with normal distribution kernel: theory, methods and applications. Zbl 1495.35182 Atangana, Abdon; Gómez-Aguilar, J. F. 39 2017 Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation. Zbl 1422.65144 Atangana, Abdon; Alqahtani, Rubayyi T. 39 2016 Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws. Zbl 1415.65148 Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 37 2018 Fractional operators with constant and variable order with application to geo-hydrology. Zbl 1386.86001 Atangana, Abdon 36 2018 A generalized groundwater flow equation using the concept of variable-order derivative. Zbl 1291.35206 Atangana, Abdon; Botha, Joseph 36 2013 Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations. Zbl 1395.65026 Owolabi, Kolade M.; Atangana, Abdon 36 2018 On generalized fractional kinetic equations involving generalized Bessel function of the first kind. Zbl 1394.34018 Kumar, Dinesh; Purohit, S. D.; Secer, A.; Atangana, A. 29 2015 Numerical methods for fractional differentiation. Zbl 1429.65005 Owolabi, Kolade Matthew; Atangana, Abdon 28 2019 Mathematical model of COVID-19 spread in Turkey and south Africa: theory, methods, and applications. Zbl 1485.92110 Atangana, Abdon; İğret Araz, Seda 28 2020 Chaotic behaviour in system of noninteger-order ordinary differential equations. Zbl 1416.65180 Owolabi, Kolade M.; Atangana, Abdon 28 2018 Nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations within Sumudu transform. Zbl 1275.65066 Atangana, Abdon; Baleanu, Dumitru 27 2013 Stability and convergence of the space fractional variable-order Schrödinger equation. Zbl 1380.35157 Atangana, Abdon; Cloot, Alain H. 26 2013 Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative. Zbl 1448.34022 Owolabi, Kolade M.; Atangana, Abdon 25 2019 Retracted: New numerical method for ordinary differential equations: Newton polynomial. Zbl 1453.65152 Atangana, Abdon; İğret Araz, Seda 24 2020 Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems. Zbl 1513.65414 Owolabi, Kolade M.; Atangana, Abdon 23 2018 Validity of fractal derivative to capturing chaotic attractors. Zbl 1448.34010 Atangana, Abdon; Khan, Muhammad Altaf 23 2019 Fractional stochastic modeling: new approach to capture more heterogeneity. Zbl 1406.37044 Atangana, A.; Bonyah, E. 23 2019 Extension of matched asymptotic method to fractional boundary layers problems. Zbl 1407.34005 Atangana, Abdon; Doungmo Goufo, Emile Franc 22 2014 Optimal control for cancer treatment mathematical model using Atangana-Baleanu-Caputo fractional derivative. Zbl 1485.92053 Sweilam, Nasser Hassan; Al-Mekhlafi, Seham Mahyoub; Assiri, Taghreed; Atangana, Abdon 21 2020 Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators. Zbl 1412.34059 Alkahtani, Badr Saad T.; Atangana, Abdon; Koca, Ilknur 20 2017 A novel approach of variable order derivative theory and methods. Zbl 1350.26009 Alkahtani, Badr Saad T.; Koca, Ilknur; Atangana, Abdon 19 2016 A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. Zbl 1464.65143 Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z. 19 2020 New numerical scheme with Newton polynomial. Theory, methods, and applications. Zbl 1462.65001 Atangana, Abdon; İğret Araz, Seda 19 2021 New numerical method and application to Keller-Segel model with fractional order derivative. Zbl 1442.35499 Atangana, Abdon; Alqahtani, Rubayyi T. 19 2018 A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivative. Zbl 1483.65165 Heydari, M. H.; Atangana, A. 19 2019 A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment. Zbl 1443.92101 Kumar, Sachin; Atangana, Abdon 18 2020 Numerical solution of a kind of fractional parabolic equations via two difference schemes. Zbl 1470.65148 Atangana, Abdon; Baleanu, Dumitru 18 2013 The role of power decay, exponential decay and Mittag-Leffler function’s waiting time distribution: application of cancer spread. Zbl 1514.65084 Atangana, Abdon; Jain, Sonal 18 2018 Analytical solutions of the space-time fractional derivative of advection dispersion equation. Zbl 1299.35058 Atangana, Abdon; Kilicman, Adem 17 2013 First integral method for non-linear differential equations with conformable derivative. Zbl 1458.35463 Yépez-Martínez, H.; Gómez-Aguilar, J. F.; Atangana, Abdon 16 2018 Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246 Heydari, M. H.; Avazzadeh, Z.; Atangana, A. 15 2021 Differential and integral operators with constant fractional order and variable fractional dimension. Zbl 1448.34011 Atangana, Abdon; Shafiq, Anum 15 2019 Retraction notice to: “New numerical method for ordinary differential equations: Newton polynomial”. Zbl 1470.65125 Atangana, Abdon; İğret Araz, Seda 15 2021 The use of fractional order derivative to predict the groundwater flow. Zbl 1296.76144 Atangana, Abdon; Bildik, Necdet 14 2013 A fractional mathematical model of breast cancer competition model. Zbl 1448.92105 Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 14 2019 Retracted: A fractional model for predator-prey with omnivore. Zbl 1406.92652 Bonyah, E.; Atangana, A.; Elsadany, A. A. 14 2019 Analytical solutions of a space-time fractional derivative of groundwater flow equation. Zbl 1468.35225 Atangana, Abdon; Vermeulen, P. D. 14 2014 Computational study of multi-species fractional reaction-diffusion system with ABC operator. Zbl 1483.35324 Owolabi, Kolade M.; Atangana, Abdon 14 2019 Mathematical analysis of memristor through fractal-fractional differential operators: a numerical study. Zbl 1455.34048 Abro, Kashif Ali; Atangana, Abdon 13 2020 Analysis of a new partial integro-differential equation with mixed fractional operators. Zbl 1448.65277 Atangana, Abdon; Araz, Seda İğret 13 2019 Mathematical model of survival of fractional calculus, critics and their impact: how singular is our world? Zbl 1494.26006 Atangana, Abdon 13 2021 A note on the triple Laplace transform and its applications to some kind of third-order differential equation. Zbl 1470.44001 Atangana, Abdon 13 2013 On multi-Laplace transform for solving nonlinear partial differential equations with mixed derivatives. Zbl 1407.35058 Atangana, Abdon; Oukouomi Noutchie, Suares Clovis 12 2014 New two step Laplace Adam-Bashforth method for integer a noninteger order partial differential equations. Zbl 1407.65242 Gnitchogna, Rodrigue; Atangana, Abdon 12 2018 Trinition the complex number with two imaginary parts: fractal, chaos and fractional calculus. Zbl 1483.39008 Atangana, Abdon; Mekkaoui, Toufik 12 2019 Model of thin viscous fluid sheet flow within the scope of fractional calculus: fractional derivative with and no singular kernel. Zbl 1375.76020 Atangana, Abdon; Koca, Ilknur 11 2017 A comparative analysis of electromechanical model of piezoelectric actuator through Caputo-Fabrizio and Atangana-Baleanu fractional derivatives. Zbl 1456.35207 Abro, Kashif Ali; Atangana, Abdon 11 2020 New lump, lump-kink, breather waves and other interaction solutions to the \((3+1)\)-dimensional soliton equation. Zbl 1451.35052 Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Atangana, Abdon 11 2020 Error estimates of a semidiscrete finite element method for fractional stochastic diffusion-wave equations. Zbl 1407.74098 Zou, Guang-an; Atangana, Abdon; Zhou, Yong 11 2018 Stability and convergence of a time-fractional variable order Hantush equation for a deformable aquifer. Zbl 1301.76072 Atangana, Abdon; Oukouomi Noutchie, S. C. 11 2013 The use of Sumudu transform for solving certain nonlinear fractional heat-like equations. Zbl 1275.65067 Atangana, Abdon; Kılıçman, Adem 11 2013 Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems. Zbl 1434.00041 11 2020 Approximate solution of tuberculosis disease population dynamics model. Zbl 1470.92015 Atangana, Abdon; Bildik, Necdet 11 2013 High-order solvers for space-fractional differential equations with Riesz derivative. Zbl 1422.65179 Owolabi, Kolade M.; Atangana, Abdon 11 2019 Existence and numerical solution of the Volterra fractional integral equations of the second kind. Zbl 1299.45001 Atangana, Abdon; Bildik, Necdet 10 2013 A possible generalization of acoustic wave equation using the concept of perturbed derivative order. Zbl 1299.76229 Atangana, Abdon; Kılıçman, Adem 10 2013 On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory. Zbl 1448.34086 Ávalos-Ruiz, L. F.; Gómez-Aguilar, J. F.; Atangana, A.; Owolabi, Kolade M. 10 2019 On a more general fractional integration by parts formulae and applications. Zbl 1527.26004 Abdeljawad, Thabet; Atangana, Abdon; Gómez-Aguilar, J. F.; Jarad, Fahd 10 2019 Cauchy problems with fractal-fractional operators and applications to groundwater dynamics. Zbl 1483.35315 Atangana, Abdon; Doungmo Goufo, Emile Franc 10 2020 Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions. Zbl 1422.35168 Owolabi, Kolade M.; Atangana, Abdon 10 2017 Couette flows of a viscous fluid with slip effects and non-integer order derivative without singular kernel. Zbl 1418.35312 Riaz, Muhammad Bilal; Asif, Naseer Ahmad; Atangana, Abdon; Asjad, Muhammad Imran 10 2019 Capturing complexities with composite operator and differential operators with non-singular kernel. Zbl 07034126 Atangana, Abdon; Mekkaoui, Toufik 9 2019 Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator. Zbl 1506.35271 Owolabi, Kolade M.; Pindza, Edson; Atangana, Abdon 9 2021 Ulam-Hyers-Rassias stability for nonlinear \(\Psi\)-Hilfer stochastic fractional differential equation with uncertainty. Zbl 1485.93314 Chaharpashlou, Reza; Saadati, Reza; Atangana, Abdon 9 2020 Analytical solution of space-time fractional Fokker-Planck equation by homotopy perturbation Sumudu transform method. Zbl 1394.35075 Dubey, Ravi Shanker; Alkahtani, Badr Saad T.; Atangana, Abdon 9 2015 An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels. Zbl 1434.35274 Heydari, M. H.; Atangana, A. 9 2020 Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations. Zbl 1443.65267 Atangana, Abdon 8 2015 New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points. Zbl 1501.92183 Panda, Sumati Kumari; Atangana, Abdon; Nieto, Juan J. 8 2021 Analysis of mathematics and numerical pattern formation in superdiffusive fractional multicomponent system. Zbl 1488.65272 Owolabi, Kolade M.; Atangana, Abdon 8 2017 Application of fixed point theorem for stability analysis of a nonlinear Schrödinger with Caputo-Liouville derivative. (Application of fixed point theorem for stability analysis of a nonlinear Schrodinger with Caputo-Liouville derivative.) Zbl 1499.35616 Atangana, Abdon; Baleanu, Dumitru 8 2017 Reproducing kernel method with global derivative. Zbl 07764929 Attia, Nourhane; Akgül, Ali; Atangana, Abdon 1 2023 A numerical method for nonlinear fractional reaction-advection-diffusion equation with piecewise fractional derivative. Zbl 1518.35630 Heydari, M. H.; Atangana, A. 1 2023 Mathematical modeling and analysis of COVID-19: a study of new variant omicron. Zbl 07562494 Khan, Muhammad Altaf; Atangana, Abdon 6 2022 Existence results and numerical study on novel coronavirus 2019-nCoV/SARS-CoV-2 model using differential operators based on the generalized Mittag-Leffler kernel and fixed points. Zbl 1508.92289 Panda, Sumati Kumari; Atangana, Abdon; Abdeljawad, Thabet 3 2022 Rhythmic behaviors of the human heart with piecewise derivative. Zbl 1489.92016 Atangana, Abdon; İğret Araz, Seda 2 2022 Fractal fractional derivative operator method on MCF-7 cell line dynamics. Zbl 1471.92102 Owolabi, Kolade M.; Shikongo, Albert; Atangana, Abdon 2 2022 Numerical and mathematical analysis of induction motor by means of AB-fractal-fractional differentiation actuated by drilling system. Zbl 07777087 Abro, Kashif Ali; Atangana, Abdon 1 2022 Bifurcation analysis of an age-structured prey-predator model with infection developed in prey. Zbl 07780175 Bentout, Soufiane; Djilali, Salih; Atangana, Abdon 1 2022 Deterministic-stochastic modeling: a new direction in modeling real world problems with crossover effect. Zbl 1505.65232 Atangana, Abdon; İğret Araz, Seda 1 2022 Fractional stochastic differential equations. Applications to Covid-19 modeling. Zbl 1497.92002 Atangana, Abdon; Araz, Seda İgret 1 2022 Deterministic and stochastic analysis of a COVID-19 spread model. Zbl 1498.92279 Zeb, Anwar; Atangana, Abdon; Khan, Zareen A. 1 2022 New numerical scheme with Newton polynomial. Theory, methods, and applications. Zbl 1462.65001 Atangana, Abdon; İğret Araz, Seda 19 2021 Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246 Heydari, M. H.; Avazzadeh, Z.; Atangana, A. 15 2021 Retraction notice to: “New numerical method for ordinary differential equations: Newton polynomial”. Zbl 1470.65125 Atangana, Abdon; İğret Araz, Seda 15 2021 Mathematical model of survival of fractional calculus, critics and their impact: how singular is our world? Zbl 1494.26006 Atangana, Abdon 13 2021 Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator. Zbl 1506.35271 Owolabi, Kolade M.; Pindza, Edson; Atangana, Abdon 9 2021 New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points. Zbl 1501.92183 Panda, Sumati Kumari; Atangana, Abdon; Nieto, Juan J. 8 2021 On solutions of fractal fractional differential equations. Zbl 1481.34009 Atangana, Abdon; Akgül, Ali 7 2021 An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation. Zbl 1494.65088 Heydari, M. H.; Atangana, A. 6 2021 Numerical solution of nonlinear fractal-fractional optimal control problems by Legendre polynomials. Zbl 1490.49007 Heydari, Mohammad Hossein; Atangana, Abdon; Avazzadeh, Zakieh 5 2021 New chaotic attractors: application of fractal-fractional differentiation and integration. Zbl 1481.34055 Gómez-Aguilar, J. F.; Atangana, Abdon 5 2021 Pata type contractions involving rational expressions with an application to integral equations. Zbl 1469.54128 Karapınar, Erdal; Atangana, Abdon; Fulga, Andreea 5 2021 Fractional Adams-Bashforth scheme with the Liouville-Caputo derivative and application to chaotic systems. Zbl 1475.65076 Owolabi, Kolade M.; Atangana, Abdon; Gómez-Aguilar, Jose Francisco 3 2021 Shifted Vieta-Fibonacci polynomials for the fractal-fractional fifth-order KdV equation. Zbl 1473.35485 Heydari, M. H.; Avazzadeh, Z.; Atangana, A. 3 2021 Fractional and fractal advection-dispersion model. Zbl 1484.35372 Allwright, Amy; Atangana, Abdon; Mekkaoui, Toufik 2 2021 Electromagnetic waves described by a fractional derivative of variable and constant order with non singular kernel. Zbl 1475.34005 Kachhia, Krunal B.; Atangana, Abdon 2 2021 Mathematical modelling and analysis of fractional epidemic models using derivative with exponential kernel. Zbl 1466.92202 Owolabi, Kolade M.; Atangana, Abdon 2 2021 Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden-Fowler equation generated by derivative with non-singular kernel. Zbl 1494.35158 Heydari, M. H.; Avazzadeh, Z.; Atangana, A. 2 2021 On the fuzzy stability results for fractional stochastic Volterra integral equation. Zbl 1484.60072 Chaharpashlou, Reza; Atangana, Abdon; Saadati, Reza 2 2021 Preface. Zbl 1475.00025 1 2021 Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian. Zbl 1466.35172 Zeng, Shengda; Cen, Jinxia; Atangana, Abdon; Nguyen, Van Thien 1 2021 Effect of local and non-local kernels on heat transfer of mixed convection flow of the Maxwell fluid. Zbl 1512.76013 Riaz, M. B.; Atangana, A.; Asgir, Maryam; Khan, Muhammad Altaf; Amsalu Kahsay, Hafte 1 2021 A new application of fractional Atangana-Baleanu derivatives: designing ABC-fractional masks in image processing. Zbl 07527123 Ghanbari, Behzad; Atangana, Abdon 45 2020 The dynamics of COVID-19 with quarantined and isolation. Zbl 1486.92242 Khan, Muhammad Altaf; Atangana, Abdon; Alzahrani, Ebraheem; Fatmawati 44 2020 Mathematical model of COVID-19 spread in Turkey and south Africa: theory, methods, and applications. Zbl 1485.92110 Atangana, Abdon; İğret Araz, Seda 28 2020 Retracted: New numerical method for ordinary differential equations: Newton polynomial. Zbl 1453.65152 Atangana, Abdon; İğret Araz, Seda 24 2020 Optimal control for cancer treatment mathematical model using Atangana-Baleanu-Caputo fractional derivative. Zbl 1485.92053 Sweilam, Nasser Hassan; Al-Mekhlafi, Seham Mahyoub; Assiri, Taghreed; Atangana, Abdon 21 2020 A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. Zbl 1464.65143 Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z. 19 2020 A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment. Zbl 1443.92101 Kumar, Sachin; Atangana, Abdon 18 2020 Mathematical analysis of memristor through fractal-fractional differential operators: a numerical study. Zbl 1455.34048 Abro, Kashif Ali; Atangana, Abdon 13 2020 A comparative analysis of electromechanical model of piezoelectric actuator through Caputo-Fabrizio and Atangana-Baleanu fractional derivatives. Zbl 1456.35207 Abro, Kashif Ali; Atangana, Abdon 11 2020 New lump, lump-kink, breather waves and other interaction solutions to the \((3+1)\)-dimensional soliton equation. Zbl 1451.35052 Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Atangana, Abdon 11 2020 Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems. Zbl 1434.00041 11 2020 Cauchy problems with fractal-fractional operators and applications to groundwater dynamics. Zbl 1483.35315 Atangana, Abdon; Doungmo Goufo, Emile Franc 10 2020 Ulam-Hyers-Rassias stability for nonlinear \(\Psi\)-Hilfer stochastic fractional differential equation with uncertainty. Zbl 1485.93314 Chaharpashlou, Reza; Saadati, Reza; Atangana, Abdon 9 2020 An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels. Zbl 1434.35274 Heydari, M. H.; Atangana, A. 9 2020 Solving fractional pantograph delay equations by an effective computational method. Zbl 1510.65130 Hashemi, M. S.; Atangana, A.; Hajikhah, S. 8 2020 Fractional order analysis. Theory, methods and applications. Zbl 1445.26001 7 2020 Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems. Zbl 1491.65077 Allwright, Amy; Atangana, Abdon 6 2020 Models of fluid flowing in non-conventional media: new numerical analysis. Zbl 1440.65082 Atangana, Abdon; Jain, Sonal 5 2020 Closing Editorial: forecasting of epidemic spreading: lessons learned from the current covid-19 pandemic. Zbl 07505126 5 2020 Atangana-Seda numerical scheme for labyrinth attractor with new differential and integral operators. Zbl 07468626 Atangana, Abdon; İğret Araz, Seda 5 2020 Local and nonlocal differential operators: a comparative study of heat and mass transfers in MHD Oldroyd-B fluid with ramped wall temperature. Zbl 1482.76007 Riaz, Muhammad Bilal; Atangana, Abdon; Abdeljawad, Thabet 4 2020 Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations. Zbl 1486.65308 Yang, Y.; Heydari, M. H.; Avazzadeh, Z.; Atangana, A. 4 2020 Dynamics of traveling waves of variable order hyperbolic Liouville equation: regulation and control. Zbl 1439.35118 Goufo, Emile Franc Doungmo; Atangana, Abdon 3 2020 New multi-scroll attractors obtained via Julia set mapping. Zbl 1483.37045 Atangana, Abdon; Bouallegue, Ghaith; Bouallegue, Kais 3 2020 Corrigendum to: “New numerical method for ordinary differential equations: Newton polynomial”. Zbl 1453.65151 Atangana, Abdon; Araz, Seda İğret 2 2020 Modeling attractors of chaotic dynamical systems with fractal-fractional operators. Zbl 1448.65268 Atangana, Abdon; Qureshi, Sania 97 2019 On the formulation of Adams-bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. Zbl 1409.34016 Owolabi, Kolade M.; Atangana, Abdon 70 2019 Mathematical analysis of dengue fever outbreak by novel fractional operators with field data. Zbl 07566479 Qureshi, Sania; Atangana, Abdon 45 2019 Numerical methods for fractional differentiation. Zbl 1429.65005 Owolabi, Kolade Matthew; Atangana, Abdon 28 2019 Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative. Zbl 1448.34022 Owolabi, Kolade M.; Atangana, Abdon 25 2019 Validity of fractal derivative to capturing chaotic attractors. Zbl 1448.34010 Atangana, Abdon; Khan, Muhammad Altaf 23 2019 Fractional stochastic modeling: new approach to capture more heterogeneity. Zbl 1406.37044 Atangana, A.; Bonyah, E. 23 2019 A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivative. Zbl 1483.65165 Heydari, M. H.; Atangana, A. 19 2019 Differential and integral operators with constant fractional order and variable fractional dimension. Zbl 1448.34011 Atangana, Abdon; Shafiq, Anum 15 2019 A fractional mathematical model of breast cancer competition model. Zbl 1448.92105 Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 14 2019 Retracted: A fractional model for predator-prey with omnivore. Zbl 1406.92652 Bonyah, E.; Atangana, A.; Elsadany, A. A. 14 2019 Computational study of multi-species fractional reaction-diffusion system with ABC operator. Zbl 1483.35324 Owolabi, Kolade M.; Atangana, Abdon 14 2019 Analysis of a new partial integro-differential equation with mixed fractional operators. Zbl 1448.65277 Atangana, Abdon; Araz, Seda İğret 13 2019 Trinition the complex number with two imaginary parts: fractal, chaos and fractional calculus. Zbl 1483.39008 Atangana, Abdon; Mekkaoui, Toufik 12 2019 High-order solvers for space-fractional differential equations with Riesz derivative. Zbl 1422.65179 Owolabi, Kolade M.; Atangana, Abdon 11 2019 On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory. Zbl 1448.34086 Ávalos-Ruiz, L. F.; Gómez-Aguilar, J. F.; Atangana, A.; Owolabi, Kolade M. 10 2019 On a more general fractional integration by parts formulae and applications. Zbl 1527.26004 Abdeljawad, Thabet; Atangana, Abdon; Gómez-Aguilar, J. F.; Jarad, Fahd 10 2019 Couette flows of a viscous fluid with slip effects and non-integer order derivative without singular kernel. Zbl 1418.35312 Riaz, Muhammad Bilal; Asif, Naseer Ahmad; Atangana, Abdon; Asjad, Muhammad Imran 10 2019 Capturing complexities with composite operator and differential operators with non-singular kernel. Zbl 07034126 Atangana, Abdon; Mekkaoui, Toufik 9 2019 A new model of groundwater flow within an unconfined aquifer: application of Caputo-Fabrizio fractional derivative. Zbl 1416.76175 Feulefack, Pierre Aime; Djida, Jean Daniel; Abdon, Atangana 7 2019 Generalised class of time fractional black Scholes equation and numerical analysis. Zbl 1422.91680 Batogna, Rodrigue Gnitchogna; Atangana, Abdon 7 2019 A new approach to capture heterogeneity in groundwater problem: an illustration with an Earth equation. Zbl 1470.76096 Atangana, Abdon; Alqahtani, Rubayyi T. 5 2019 Competition model in groundwater: three boreholes taping water out from same aquifer. Zbl 1483.86003 Alqahtani, Rubayyi T.; Atangana, Abdon 2 2019 Necessary and sufficient optimality conditions for fractional problems involving Atangana-Baleanu’s derivatives. Zbl 1436.49032 Bahaa, G. M.; Atangana, A. 2 2019 Modulating chaotic oscillations in autocatalytic reaction networks using Atangana-Baleanu operator. Zbl 1448.92076 Goufo, Emile F. Doungmo; Atangana, A. 2 2019 RETRACTED: Power and exponentials laws: theory and application. Zbl 1423.26011 Gómez-Aguilar, J. F.; Atangana, Abdon 2 2019 On the chaotic pole of attraction with nonlocal and nonsingular operators in neurobiology. Zbl 1437.92027 Goufo, Emile F. Doungmo; Atangana, Abdon; Khumalo, Melusi 1 2019 Model of coupled system of fractional reaction-diffusion within a new fractional derivative without singular kernel. Zbl 1437.35695 Saad, K. M.; Gómez-Aguilar, J. F.; Atangana, A.; Escobar-Jiménez, R. F. 1 2019 Upwind-based numerical approximation of a space-time fractional advection-dispersion equation for groundwater transport within fractured systems. Zbl 1440.76141 Allwright, A.; Atangana, A. 1 2019 A fractional epidemiological model for computer viruses pertaining to a new fractional derivative. Zbl 1426.68015 Singh, Jagdev; Kumar, Devendra; Hammouch, Zakia; Atangana, Abdon 182 2018 Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties. Zbl 1514.34009 Atangana, Abdon 124 2018 Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010 Atangana, Abdon; Gómez-Aguilar, J. F. 118 2018 New numerical approach for fractional differential equations. Zbl 1406.65045 Atangana, Abdon; Owolabi, Kolade M. 99 2018 Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113 Atangana, Abdon; Gómez-aguilar, J. F. 90 2018 Blind in a commutative world: simple illustrations with functions and chaotic attractors. Zbl 1415.34009 Atangana, Abdon 67 2018 New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565 Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru 53 2018 New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations. (New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burger’s equations.) Zbl 1432.35229 Saad, Khaled M.; Baleanu, Dumitru; Atangana, Abdon 44 2018 Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws. Zbl 1415.65148 Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 37 2018 Fractional operators with constant and variable order with application to geo-hydrology. Zbl 1386.86001 Atangana, Abdon 36 2018 Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations. Zbl 1395.65026 Owolabi, Kolade M.; Atangana, Abdon 36 2018 Chaotic behaviour in system of noninteger-order ordinary differential equations. Zbl 1416.65180 Owolabi, Kolade M.; Atangana, Abdon 28 2018 Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems. Zbl 1513.65414 Owolabi, Kolade M.; Atangana, Abdon 23 2018 New numerical method and application to Keller-Segel model with fractional order derivative. Zbl 1442.35499 Atangana, Abdon; Alqahtani, Rubayyi T. 19 2018 ...and 74 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,804 Authors 131 Atangana, Abdon 119 Băleanu, Dumitru I. 75 Gómez-Aguilar, José Francisco 74 Abdeljawad, Thabet 59 Owolabi, Kolade Matthew 40 Doungmo Goufo, Emile Franc 39 Khan, Muhammad Altaf 39 Shah, Kamal 36 Heydari, Mohammad Hossein 34 Akgül, Ali 33 Inc, Mustafa 33 Singh, Jagdev 31 Kumar, Devendra 29 Jarad, Fahd 29 Khan, Ilyas 26 Hammouch, Zakia 25 Rashid, Saima 24 Kumar, Sunil 24 Sooppy Nisar, Kottakkaran 22 Rezapour, Shahram 21 Agarwal, Praveen 21 Baskonus, Haci Mehmet 21 Saad, Khaled Mohammed 21 Yusuf, Abdullahi A. 20 Chu, Yuming 19 Abdo, Mohammed Salem 18 Ghanbari, Behzad 18 Sene, Ndolane 18 Veeresha, Pundikala 17 Alkahtani, Badr Saad T. 17 Escobar-Jiménez, Ricardo Fabricio 17 Khan, Aziz Ullah 17 Khan, Hasib 17 Momani, Shaher M. 16 Arqub, Omar Abu 16 Avazzadeh, Zakieh 16 Liu, Yang 16 Razzaghi, Mohsen 15 Bonyah, Ebenezer 15 Kiliçman, Adem 15 Li, Hong 14 Qureshi, Sania 14 Salahshour, Soheil 14 Ullah, Saif 13 Arfan, Muhammad 13 Jafari, Hossein 13 Koca, Ilknur 12 Abro, Kashif Ali 12 Al-Smadi, Mohammed H. 12 Deniz, Sinan 12 Hosseininia, Masoumeh 12 Khater, Mostafa M. A. 12 Oukouomi Noutchie, Suares Clovis 12 Prakasha, Doddabhadrappla Gowda 12 Srivastava, Hari Mohan 12 ur Rahman, Mati 11 Alzahrani, Ebraheem O. 11 Bulut, Hasan 11 Cattani, Carlo 11 Kumam, Poom 11 Ravichandran, Chokkalingam 11 Riaz, Muhammad Bilal 11 Yavuz, Mehmet E. 10 Abdelkawy, Mohamed A. 10 Ahmadian, Ali 10 Alrabaiah, Hussam 10 Demir, Ali 10 Etemad, Sina 10 Nguyen Huy Tuan 10 Ozarslan, Ramazan 10 Purohit, Sunil Dutt 10 Sweilam, Nasser Hassan 10 Yang, Xiao-Jun 10 Zeb, Anwar 9 Ahmad, Shabir 9 Almalahi, Mohammed A. 9 Alzabut, Jehad O. 9 Fatmawati, Fatmawati 9 İğret Araz, Seda 9 Karaagac, Berat 9 Özdemir, Necati 9 Panda, Sumati Kumari 9 Ullah, Aman 9 Yépez-Martínez, Huitzilin 9 Zhang, Zizhen 8 Abdel-Aty, Abdel-Haleem 8 Al-Refai, Mohammed 8 Alshomrani, Ali Saleh 8 Baş, Erdal 8 Bildik, Necdet 8 Chauhan, Ram P. 8 Gao, Wei 8 Islam, Saeed 8 Jan, Rashid 8 Karaca, Yeliz 8 Liu, Zhengguang 8 Mohammed, Pshtiwan Othman 8 Pindza, Edson 8 Prakash, Amit 8 Saha Ray, Santanu ...and 2,704 more Authors all top 5 Cited in 244 Serials 331 Chaos, Solitons and Fractals 202 Advances in Difference Equations 130 Fractals 70 Mathematical Methods in the Applied Sciences 66 Discrete and Continuous Dynamical Systems. Series S 64 Physica A 57 Journal of Function Spaces 51 Numerical Methods for Partial Differential Equations 46 AIMS Mathematics 44 International Journal of Applied and Computational Mathematics 41 Abstract and Applied Analysis 35 Chaos 32 Journal of Computational and Applied Mathematics 32 Computational and Applied Mathematics 31 Mathematics and Computers in Simulation 30 Applied Mathematics and Computation 28 Advances in Mathematical Physics 27 Applied Numerical Mathematics 26 International Journal of Biomathematics 25 Mathematical Problems in Engineering 24 Journal of Nonlinear Science and Applications 23 Mathematical Modelling of Natural Phenomena 15 Communications in Nonlinear Science and Numerical Simulation 14 Computers & Mathematics with Applications 14 International Journal of Computer Mathematics 14 International Journal of Nonlinear Sciences and Numerical Simulation 14 Waves in Random and Complex Media 14 Mathematical Sciences 13 Journal of Applied Mathematics and Computing 13 Mathematical Biosciences and Engineering 13 Boundary Value Problems 12 Applied Mathematical Modelling 12 Nonlinear Dynamics 12 Discrete Dynamics in Nature and Society 11 Numerical Algorithms 11 Open Mathematics 10 Journal of Applied Analysis and Computation 9 Complexity 9 Qualitative Theory of Dynamical Systems 9 Applied Mathematics and Nonlinear Sciences 8 Journal of Computational Physics 8 Demonstratio Mathematica 8 Applied Mathematics Letters 7 International Journal of Modern Physics B 7 Inverse Problems in Science and Engineering 7 Journal of Mathematics 6 Filomat 6 Boletim da Sociedade Paranaense de Matemática. Terceira Série 6 International Journal of Differential Equations 6 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Soft Computing 5 Journal of Inequalities and Applications 5 Mathematical Modelling and Analysis 5 Communications in Theoretical Physics 5 Symmetry 5 Journal of Mathematical Extension 5 Palestine Journal of Mathematics 5 Electronic Research Archive 4 Journal of the Franklin Institute 4 Rocky Mountain Journal of Mathematics 4 Journal of Geometry and Physics 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Turkish Journal of Mathematics 4 Engineering Analysis with Boundary Elements 4 Journal of Applied Mathematics 4 Computational Methods for Differential Equations 4 Results in Applied Mathematics 3 Acta Mechanica 3 International Journal of Theoretical Physics 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Optimization Theory and Applications 3 Optimal Control Applications & Methods 3 The Journal of Analysis 3 Applied Mathematics. Series B (English Edition) 3 Nonlinear Analysis. Modelling and Control 3 Nonlinear Functional Analysis and Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 3 The Journal of Prime Research in Mathematics 3 Applications and Applied Mathematics 3 European Journal of Pure and Applied Mathematics 3 Asian-European Journal of Mathematics 3 Journal of Mathematics and Computer Science. JMCS 3 S\(\vec{\text{e}}\)MA Journal 3 Arabian Journal of Mathematics 3 Fractional Differential Calculus 3 Evolution Equations and Control Theory 3 Iranian Journal of Numerical Analysis and Optimization 3 Transactions of A. Razmadze Mathematical Institute 3 Computational and Mathematical Biophysics 2 Computer Methods in Applied Mechanics and Engineering 2 Computer Physics Communications 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Physics Letters. A 2 Bulletin of Mathematical Biology 2 Fuzzy Sets and Systems 2 Mathematische Nachrichten 2 Statistics & Probability Letters ...and 144 more Serials all top 5 Cited in 47 Fields 828 Ordinary differential equations (34-XX) 800 Partial differential equations (35-XX) 704 Real functions (26-XX) 642 Numerical analysis (65-XX) 478 Biology and other natural sciences (92-XX) 125 Operator theory (47-XX) 118 Fluid mechanics (76-XX) 110 Dynamical systems and ergodic theory (37-XX) 94 Special functions (33-XX) 88 Integral equations (45-XX) 86 Systems theory; control (93-XX) 81 Integral transforms, operational calculus (44-XX) 64 Statistical mechanics, structure of matter (82-XX) 58 Calculus of variations and optimal control; optimization (49-XX) 52 Probability theory and stochastic processes (60-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Measure and integration (28-XX) 40 Mechanics of deformable solids (74-XX) 34 Difference and functional equations (39-XX) 21 Approximations and expansions (41-XX) 21 Computer science (68-XX) 21 Quantum theory (81-XX) 20 Mechanics of particles and systems (70-XX) 20 Optics, electromagnetic theory (78-XX) 19 Classical thermodynamics, heat transfer (80-XX) 19 Geophysics (86-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 General topology (54-XX) 12 Information and communication theory, circuits (94-XX) 11 Functional analysis (46-XX) 10 Operations research, mathematical programming (90-XX) 8 Statistics (62-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Functions of a complex variable (30-XX) 5 Relativity and gravitational theory (83-XX) 4 Number theory (11-XX) 3 Combinatorics (05-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Abstract harmonic analysis (43-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. 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