Journal of Vibration and Control Short Title: J. Vib. Control Publisher: SAGE Publications, Thousand Oaks, CA ISSN: 1077-5463; 1741-2986/e Online: https://journals.sagepub.com/loi/JVC Comments: No longer indexed Documents Indexed: 1,196 Publications (1995–2018) References Indexed: 1,071 Publications with 26,278 References. all top 5 Latest Issues 24, No. 16 (2018) 24, No. 15 (2018) 24, No. 14 (2018) 24, No. 13 (2018) 24, No. 12 (2018) 24, No. 11 (2018) 24, No. 10 (2018) 24, No. 9 (2018) 24, No. 8 (2018) 24, No. 7 (2018) 24, No. 6 (2018) 24, No. 5 (2018) 24, No. 2 (2018) 24, No. 1 (2018) 23, No. 20 (2017) 23, No. 19 (2017) 23, No. 18 (2017) 23, No. 17 (2017) 23, No. 16 (2017) 23, No. 15 (2017) 23, No. 14 (2017) 23, No. 13 (2017) 23, No. 12 (2017) 23, No. 11 (2017) 23, No. 10 (2017) 23, No. 9 (2017) 23, No. 8 (2017) 23, No. 7 (2017) 23, No. 6 (2017) 23, No. 5 (2017) 23, No. 4 (2017) 23, No. 3 (2017) 23, No. 2 (2017) 23, No. 1 (2017) 22, No. 20 (2016) 22, No. 19 (2016) 22, No. 18 (2016) 22, No. 17 (2016) 22, No. 16 (2016) 22, No. 15 (2016) 22, No. 14 (2016) 22, No. 13 (2016) 22, No. 12 (2016) 22, No. 11 (2016) 22, No. 10 (2016) 22, No. 9 (2016) 22, No. 8 (2016) 22, No. 7 (2016) 22, No. 6 (2016) 22, No. 5 (2016) 22, No. 4 (2016) 22, No. 3 (2016) 22, No. 2 (2016) 22, No. 1 (2016) 21, No. 16 (2015) 21, No. 15 (2015) 21, No. 14 (2015) 21, No. 12 (2015) 21, No. 11 (2015) 21, No. 9 (2015) 21, No. 8 (2015) 21, No. 6 (2015) 21, No. 5 (2015) 21, No. 4 (2015) 21, No. 3 (2015) 21, No. 1 (2015) 20, No. 16 (2014) 20, No. 15 (2014) 20, No. 13 (2014) 20, No. 12 (2014) 20, No. 11 (2014) 20, No. 10 (2014) 20, No. 9 (2014) 20, No. 8 (2014) 20, No. 7 (2014) 20, No. 6 (2014) 20, No. 5 (2014) 20, No. 4 (2014) 20, No. 3 (2014) 20, No. 1 (2014) 19, No. 16 (2013) 19, No. 15 (2013) 19, No. 14 (2013) 19, No. 13 (2013) 19, No. 12 (2013) 19, No. 11 (2013) 19, No. 10 (2013) 19, No. 8 (2013) 19, No. 7 (2013) 19, No. 6 (2013) 19, No. 5 (2013) 19, No. 4 (2013) 19, No. 3 (2013) 19, No. 2 (2013) 19, No. 1 (2013) 18, No. 13 (2012) 18, No. 12 (2012) 18, No. 11 (2012) 18, No. 10 (2012) 18, No. 9 (2012) ...and 153 more Volumes all top 5 Authors 30 Nayfeh, Ali Hasan 16 Băleanu, Dumitru I. 15 Dehghan Takht Fooladi, Mehdi 13 Baz, Amr 12 Machado, José António Tenreiro 10 Bruch, John C. jun. 10 Sadek, Ibrahim S. 10 Sloss, James M. 9 Adali, Sarp 9 Choura, Slim 8 Chen, Chengwu 8 Esmailzadeh, Ebrahim 7 Balthazar, José Manoel 6 El-Borgi, Sami 6 Golnaraghi, M. Farid 6 Jazar, G. Nakhaie 6 Lacarbonara, Walter 6 Mook, Dean T. 6 Razzaghi, Mohsen 6 Sinha, Subhash C. 6 Vestroni, Fabrizio 5 Abdel-Rahman, Eihab M. 5 Abdel-Rohman, Mohamed 5 Agrawal, Om Prakash 5 Barbosa, Ramiro S. 5 Bhrawy, Ali Hassan 5 Cai, Chengsong 5 Cai, Guoping 5 Hajarian, Masoud 5 Inman, Daniel J. 5 Li, Chuandong 5 Morassi, Antonino 5 Olgac, Nejat M. 5 Ruzzene, Massimo 5 Stépán, Gábor 5 Voulgaris, Petros G. 4 Ahmadian, Mohammad Taghi 4 Ansary, Omid 4 Avramov, K. V. 4 Barhorst, Alan A. 4 Bolaers, Fabrice 4 Bowong, Samuel 4 Chen, Chen-Yuan 4 Chen, Jin 4 Chen, Shinn-Horng 4 Chiementin, Xavier 4 Chou, Jyhhorng 4 Cleghorn, William L. 4 de Silva, Clarence Wilfred 4 Dimentberg, Mikhail Fedorovich 4 Dron, Jean-Paul 4 Gupta, Shishir 4 Jalili, Nader 4 Kamyad, Ali Vahidian 4 Karkoub, Mansour A. 4 Marin, Marin I. 4 Masoud, Ziyad N. 4 Natsiavas, Sotirios 4 Nonami, Kenzo 4 Sabatier, Jocelyn 4 Silva, Manuel F. 4 Tomar, Sushil Kumar 4 Tusset, Angelo Marcelo 4 Wu, Chia-Ju 4 Yagiz, Nurkan 4 Yoshimura, Toshio 4 Zhu, Weiqiu 3 Abdalla, Abdurahman Masoud 3 Abo-dahab, S. M. 3 Al-Majed, Mohammed I. 3 Al-Qaisia, Ahmad A. 3 Al-Said, Samer Masoud 3 Alsaif, Khalid A. 3 Bajaj, Anil K. 3 Berczynski, Stefan 3 Botez, Ruxandra Mihaela 3 Brasil, Reyolando M. L. R. F. 3 Chalhoub, Nabil G. 3 Chattopadhyay, Amares 3 Chin, Char-Ming 3 Dawson, Darren M. 3 Durali, Mohammad 3 Effati, Sohrab 3 El-Badawy, Ayman A. 3 ElMadany, Mohamed M. 3 Fung, Tsz Chai 3 Gasparetto, Alessandro 3 Grigoriadis, Karolos M. 3 Guo, Shuxiang 3 He, Wei 3 Hogan, S. John 3 Hu, Qinglei 3 Inoue, Tsuyoshi 3 Insperger, Tamás 3 Ishida, Yukio 3 John, Mariam Joseph 3 Ko, Chia-Nan 3 Kumar, Rajneesh 3 Kurdila, Andrew J. 3 Lee, Fred C. ...and 1,867 more Authors all top 5 Fields 583 Mechanics of deformable solids (74-XX) 404 Systems theory; control (93-XX) 360 Mechanics of particles and systems (70-XX) 73 Ordinary differential equations (34-XX) 63 Real functions (26-XX) 61 Numerical analysis (65-XX) 47 Fluid mechanics (76-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 30 Biology and other natural sciences (92-XX) 24 Optics, electromagnetic theory (78-XX) 20 Partial differential equations (35-XX) 20 Operations research, mathematical programming (90-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Geophysics (86-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Information and communication theory, circuits (94-XX) 7 Computer science (68-XX) 6 History and biography (01-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Special functions (33-XX) 3 Statistics (62-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 837 Publications have been cited 4,199 times in 2,825 Documents Cited by ▼ Year ▼ A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems. Zbl 1182.70047Agrawal, Om. P.; Baleanu, Dumitru 99 2007 A central difference numerical scheme for fractional optimal control problems. Zbl 1272.49068Baleanu, Dumitru; Defterli, Ozlem; Agrawal, Om P. 73 2009 Time-fractional diffusion of distributed order. Zbl 1229.35118Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni; Gorenflo, Rudolf 67 2008 A formulation and numerical scheme for fractional optimal control problems. Zbl 1229.49045Agrawal, Om P. 56 2008 Variable order modeling of diffusive-convective effects on the oscillatory flow past a sphere. Zbl 1229.76099Pedro, H. T. C.; Kobayashi, M. H.; Pereira, J. M. C.; Coimbra, C. F. M. 47 2008 Generalized Euler-Lagrange equations and transversality conditions for FVPs in terms of the Caputo derivative. Zbl 1158.49006Agrawal, Om P. 47 2007 A Legendre collocation method for fractional integro-differential equations. Zbl 1271.65157Saadatmandi, Abbas; Dehghan, Mehdi 43 2011 Stability of discrete fractional order state-space systems. Zbl 1229.93143Dzieliński, Andrzej; Sierociuk, Dominik 43 2008 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. 43 2007 Fractional optimal control problems with several state and control variables. Zbl 1269.49002Agrawal, Om P.; Defterli, Ozlem; Baleanu, Dumitru 42 2010 Isoperimetric problems on time scales with nabla derivatives. Zbl 1273.49024Almeida, Ricardo; Torres, Delfim F. M. 39 2009 Piezoelectric passive distributed controllers for beam flexural vibrations. Zbl 1078.74026Andreaus, U.; dell’Isola, F. 37 2004 Modeling the cardiac tissue electrode interface using fractional calculus. Zbl 1229.92018Magin, R. L.; Ovadia, M. 37 2008 The two forms of fractional relaxation of distributed order. Zbl 1165.26302Mainardi, Francesco; Mura, Antonio; Gorenfloh, Rudolf; Stojanović, Mirjana 34 2007 The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems. Zbl 1271.65105Yousefi, S. A.; Lotfi, A.; Dehghan, M. 31 2011 More details on analysis of fractional-order Van der Pol oscillator. Zbl 1273.70037Tavazoei, Mohammad S.; Haeri, Mohammad; Attari, Mina; Bolouki, Sadegh; Siami, Milad 31 2009 A numerical solution for fractional optimal control problems via Bernoulli polynomials. Zbl 1373.49003Keshavarz, E.; Ordokhani, Y.; Razzaghi, M. 30 2016 Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices. Zbl 1358.93097Alipour, Mohsen; Rostamy, Davood; Baleanu, Dumitru 29 2013 Iteration perturbation method for strongly nonlinear oscillations. Zbl 1015.70019He, Jihuan 28 2001 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. 27 2016 Fractional electrical impedances in botanical elements. Zbl 1229.78023Jesus, Isabel S.; Tenreiro Machado, J. A.; Cunha, J. Boaventure 25 2008 Analysis of time-delay systems via hybrid of block-pulse functions and Taylor series. Zbl 1182.93067Marzban, H. R.; Razzaghi, M. 25 2005 Dynamics and control of cranes: A review. Zbl 1048.70506Abdel-Rahman, Eihab M.; Nayfeh, Ali H.; Masoud, Ziyad N. 24 2003 Nonlinear dynamics and modeling of various wooden toys with impact and friction. Zbl 1045.70008Leine, R. I.; Van Campen, D. H.; Glocker, Ch. 23 2003 New results on the controllability and observability of fractional dynamical systems. Zbl 1229.93018Bettayeb, Maamar; Djennoune, Said 23 2008 A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems. Zbl 1373.49029Ezz-Eldien, S. S.; Doha, E. H.; Baleanu, D.; Bhrawy, A. H. 23 2017 A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials. Zbl 1365.26005Dehghan, Mehdi; Hamedi, Ehsan-Allah; Khosravian-Arab, Hassan 23 2016 Multimode interactions in suspended cables. Zbl 1107.74314Nayfeh, Ali H.; Arafat, Haider N.; Chin, Char-Ming; Lacarbonara, Walter 22 2002 Fractional central differences and derivatives. Zbl 1229.26015Ortigueira, Manuel Duarte 22 2008 Eigenvalue assignment via the Lambert W function for control of time-delay systems. Zbl 1269.93036Yi, S.; Nelson, P. W.; Ulsoy, A. G. 22 2010 Two-dimensional Legendre wavelets method for the mixed Volterra-Fredholm integral equations. Zbl 1182.65199Banifatemi, E.; Razzaghi, M.; Yousefi, S. 22 2007 Synchronization in a nonidentical fractional order of a proposed modified system. Zbl 1349.34201Golmankhaneh, Alireza K.; Arefi, Rouhiyeh; Baleanu, Dumitru 22 2015 A fractional adaptation scheme for lateral control of an AGV. Zbl 1229.70086Suárez, José I.; Vinagre, Blas M.; Chen, Yangquan 20 2008 Efficient generalized Laguerre-spectral methods for solving multi-term fractional differential equations on the half line. Zbl 1348.65060Bhrawy, A. H.; Baleanu, D.; Assas, L. M. 20 2014 Vibration of homogeneous and composite thick barrel shells. Zbl 1098.74596Qatu, Mohamad S. 19 2004 Modeling, \(H^\infty\) control and stability analysis for structural systems using Takagi-Sugeno fuzzy model. Zbl 1182.93044Chen, Cheng-Wu; Yeh, Ken; Chiang, Wei-Ling; Chen, Chen-Yuan; Wu, Deh-Juan 19 2007 Gradient-based iterative identification for nonuniform sampling output error systems. Zbl 1271.93046Xie, Li; Yang, Huizhong 18 2011 Optimal control of homoclinic bifurcation: theoretical treatment and practical reduction of safe basin erosion in the Helmholtz oscillator. Zbl 1156.70314Lenci, Stefano; Rega, Giuseppe 18 2003 Fractional multi-models of the frog gastrocnemius muscle. Zbl 1229.92019Sommacal, L.; Melchior, P.; Oustaloup, A.; Cabelguen, J.-M.; Ijspeert, A. J. 18 2008 Fractional PID controllers for industry application. A brief introduction. Zbl 1171.70012Vinagre, Blas M.; Monje, Concepción A.; Calderón, Antonio J.; Suárez, José I. 18 2007 A reduced basis approach to the design of low-order feedback controllers for nonlinear continuous systems. Zbl 0949.93514Burns, John A.; King, Belinda B. 17 1998 A method for obtaining the operational matrix of fractional Jacobi functions and applications. Zbl 1372.65221Kayedi-Bardeh, Amin; Eslahchi, M. R.; Dehghan, Mehdi 17 2014 Fractional optimal control problems: a pseudo-state-space approach. Zbl 1271.74330Biswas, Raj Kumar; Sen, Siddhartha 16 2011 Bayesian updating and model class selection for hysteretic structural models using stochastic simulation. Zbl 1229.74065Muto, Matthew; Beck, James L. 16 2008 Convergence of an iterative method for solving Sylvester matrix equations over reflexive matrices. Zbl 1271.65076Dehghan, Mehdi; Hajarian, Masoud 15 2011 Snake-like locomotions of multilink mechanisms. Zbl 1046.70008Chernousko, F. L. 15 2003 A continuous approach to the aeroelastic stability of suspended cables in 1 : 2 internal resonance. Zbl 1229.74067Luongo, A.; Piccardo, G. 15 2008 Stability analysis of turning with periodic spindle speed modulation via semidiscretization. Zbl 1093.70010Insperger, Tamás; Stépán, Gábor 15 2004 Fuzzy control for an oceanic structure: a case study in time-delay TLP system. Zbl 1269.70047Chen, Chen-Yuan; Lin, Jeng-Wen; Lee, Wan-I; Chen, Cheng-Wu 15 2010 High-dimensional harmonic balance analysis for second-order delay-differential equations. Zbl 1269.70026Liu, Liping; Kalmár-Nagy, Tamás 15 2010 On harmonic vibrations in thermoelasticity of micropolar bodies. Zbl 0949.74502Marin, M.; Lupu, M. 14 1998 Fractional Euler-Lagrange equations of motion in fractional space. Zbl 1158.49008Muslih, Sami I.; Baleanu, Dumitru 14 2007 Dynamics and global stability of beam-based electrostatic microactuators. Zbl 1269.74113Najar, F.; Nayfeh, A. H.; Abdel-Rahman, E. M.; Choura, S.; El-Borgi, S. 14 2010 Numerical solution for a class of fractional convection-diffusion equations using the flatlet oblique multiwavelets. Zbl 1372.65281Irandoust-Pakchin, Safar; Dehghan, Mehdi; Abdi-Mazraeh, Somayeh; Lakestani, Mehrdad 14 2014 Constraint-following servo control design for mechanical systems. Zbl 1272.70131Chen, Ye-Hwa 14 2009 Suboptimal control of fractional-order dynamic systems with delay argument. Zbl 1400.93126Jajarmi, Amin; Baleanu, Dumitru 14 2018 On generalized magneto-thermoelastic Rayleigh waves in a granular medium under the influence of a gravity field and initial stress. Zbl 1271.74239Abd-Alla, A. M.; Abo-Dahab, S. M.; Hammad, H. A.; Mahmoud, S. R. 13 2011 On the numerical solution of weakly singular Fredholm integral equations of the second kind using Legendre wavelets. Zbl 1271.65152Adibi, Hojatollah; Assari, Pouria 13 2011 Love wave at a layer medium bounded by irregular boundary surfaces. Zbl 1271.74244Singh, S. S. 13 2011 Microchaotic motion of digitally controlled machines. Zbl 0949.70520Enikov, Eniko; Stépán, Gábor 13 1998 Fractional order PD\(^\alpha\) joint control of legged robots. Zbl 1182.70019Silva, Manuel F.; Machado, J. A. Tenreiro 13 2006 Some estimates on vibrations in thermoelasticity of dipolar bodies. Zbl 1269.74096Marin, M. 13 2010 Fuzzy-tuned PID anti-swing control of automatic gantry crane. Zbl 1269.70051Solihin, Mahmud Iwan; Wahyudi; Legowo, Ari 13 2010 Anisotropic fractional diffusion tensor imaging. Zbl 1366.92070Meerschaert, Mark M.; Magin, Richard L.; Ye, Allen Q. 13 2016 Aeroelastic instability analysis of NES-controlled systems via a mixed multiple scale/harmonic balance method. Zbl 1358.70030Luongo, Angelo; Zulli, Daniele 13 2014 Fuzzy adaptive observer-based projective synchronization for nonlinear systems with input nonlinearity. Zbl 1349.34195Boulkroune, Abdesselem; M’saad, Mohammed 13 2012 Synchronization via active control of parametrically and externally excited \(\Phi^{6}\) Van der Pol and Duffing oscillators and application to secure communications. Zbl 1271.70070Njah, A. N. 12 2011 Optimal bounded response control for a second-order system under a white-noise excitation. Zbl 1071.93513Bratus, A.; Dimentberg, M.; Iourtchenko, D. 12 2000 Nonlinear response of a taut string to longitudinal and transverse end excitation. Zbl 0949.74515Nayfeh, Samir A.; Nayfeh, Ali H.; Mook, Dean T. 12 1995 On the optimal motion of a body with an internal mass in a resistive medium. Zbl 1229.70022Chernousko, F. L. 12 2008 An intuitive study of fractional derivative modeling and fractional quantum in soft matter. Zbl 1229.74009Chen, Wen 12 2008 On the use of delay equations in engineering applications. Zbl 1269.70002Kyrychko, Y. N.; Hogan, S. J. 12 2010 Nonlinear analysis of MEMS electrostatic microactuators: primary and secondary resonances of the first mode*. Zbl 1269.74099Najar, F.; Nayfeh, A. H.; Abdel-Rahman, E. M.; Choura, S.; El-Borgi, S. 12 2010 Modified projective synchronization and control of complex Chen and Lü systems. Zbl 1271.70067Mahmoud, Gamal M.; Ahmed, Mansour E. 11 2011 Exponential stabilization of an axially moving tensioned strip by passive damping and boundary control. Zbl 1078.74028Choi, Ji-Yun; Hong, Keum-Shik; Yang, Kyung-Jinn 11 2004 Identification of complex order-distributions. Zbl 1229.93142Adams, J. L.; Hartley, T. T.; Lorenzo, C. F. 11 2008 The dynamic behavior of a parametrically excited time-periodic MEMS taking into account parametric errors. Zbl 1373.93132Peruzzi, N. J.; Chavarette, F. R.; Balthazar, J. M.; Tusset, A. M.; Perticarrari, A. L. P. M.; Brasil, R. M. F. L. 11 2016 Passive control of \(n\)-dimensional chaotic complex nonlinear systems. Zbl 1358.34069Mahmoud, Gamal M.; Mahmoud, Emad E.; Arafa, Ayman A. 11 2013 Wave propagation in a micropolar elastic plate with voids. Zbl 1182.74135Tomar, S. K. 11 2005 Modified stochastic gradient identification algorithms with fast convergence rates. Zbl 1271.93043Chen, Jing; Ding, Feng 10 2011 Bode optimal loop shaping with CRONE compensators. Zbl 1271.93063Baños, Alfonso; Cervera, Joaquín; Lanusse, Patrick; Sabatier, Jocelyn 10 2011 Basins of attraction and transient chaos in a gear-rattling model. Zbl 1032.70014de Souza, Silvio L. T.; Caldas, Iberê L. 10 2001 Delayed position-feedback controller for the reduction of payload pendulations of rotary cranes. Zbl 1049.70654Masoud, Ziyad N.; Nayfeh, Ali H.; Al-Mousa, Amjed 10 2003 A highly accurate collocation algorithm for \(1+1\) and \(2+1\) fractional percolation equations. Zbl 1366.35213Bhrawy, Ali H. 10 2016 Flexural-flexural-torsional nonlinear vibrations of pre-twisted rotating beams with asymmetric cross-sections. Zbl 1182.74067Avramov, K. V.; Pierre, Christophe; Shyriaieva, N. 10 2007 Various methods of controlling the deployment of a tethered satellite. Zbl 1062.70611Barkow, B.; Steindl, A.; Troger, H.; Wiedermann, G. 9 2003 Dynamical integrity and control of nonlinear mechanical oscillators. Zbl 1229.70085Rega, Giuseppe; Lenci, Stefano 9 2008 Design of optimum systems of viscoelastic vibration absorbers for a given material based on the fractional calculus model. Zbl 1229.74064de Espíndola, José João; Bavastri, Carlos Alberto; De Oliveira Lopes, Eduardo Márcio 9 2008 The first passage failure of SDOF strongly nonlinear stochastic system with fractional derivative damping. Zbl 1173.93031Chen, L. C.; Zhu, W. Q. 9 2009 Propagation of Love waves in an orthotropic granular layer under initial stress overlying a semi-infinite granular medium. Zbl 1242.74041Ahmed, S. M.; Abo-Dahab, S. M. 9 2010 Design of non-fragile \(H_\infty\) controller for active vehicle suspensions. Zbl 1182.70055Du, Haiping; Lam, James; Sze, Kam Yim 9 2005 “Delay Scheduling”: a new concept for stabilization in multiple delay systems. Zbl 1182.70032Olgac, Nejat; Ergenc, Ali Fuat; Sipahi, Rifat 9 2005 Semi-active vibration control schemes for suspension systems using magnetorheological dampers. Zbl 1182.70074Shen, Y.; Golnaraghi, M. F.; Heppler, G. R. 9 2006 Excitation-induced stability and phase transition: A review. Zbl 1182.93001Ibrahim, Raouf A. 9 2006 Heisenberg’s equations of motion with fractional derivatives. Zbl 1161.81352Rabei, Eqab M.; Tarawneh, Derar M.; Muslih, Sami I.; Baleanu, Dumitru 9 2007 Dynamics of symmetric dynamical systems with delayed switching. Zbl 1269.70035Sieber, J.; Kowalczyk, P.; Hogan, S. J.; Di Bernardo, M. 9 2010 Linear matrix inequalities design approach for robust stabilization of uncertain nonlinear systems with perturbation based on optimally-tuned global sliding mode control. Zbl 1373.93150Mobayen, Saleh; Baleanu, Dumitru 9 2017 Iterative learning control based on a noninstantaneous impulsive fractional-order system. Zbl 1365.34015Liu, Shengda; Wang, Jinrong; Wei, Wei 9 2016 Robust second-order \(PD^\alpha\) type iterative learning control for a class of uncertain fractional order singular systems. Zbl 1365.93187Lazarević, Mihailo P.; Tzekis, Panagiotis 9 2016 Solving optimal control problems of the time-delayed systems by Haar wavelet. Zbl 1365.49006Nazemi, Alireza; Mansoori, Masoomeh 9 2016 Suboptimal control of fractional-order dynamic systems with delay argument. Zbl 1400.93126Jajarmi, Amin; Baleanu, Dumitru 14 2018 An iterative approach for solving fractional optimal control problems. Zbl 1381.93054Alizadeh, Ali; Effati, Sohrab 9 2018 An approximate method for solving fractional optimal control problems by hybrid functions. Zbl 1400.93122Mashayekhi, S.; Razzaghi, M. 6 2018 Finite-time tracking control for extended nonholonomic chained-form systems with parametric uncertainty and external disturbance. Zbl 1381.93051Chen, Hua; Zhang, Binwu; Zhao, Tiebiao; Wang, Tingting; Li, Kui 4 2018 Free vibration analysis of embedded functionally graded carbon nanotube-reinforced composite conical/cylindrical shells and annular plates using a numerical approach. Zbl 1400.74032Ansari, R.; Torabi, J.; Shojaei, M. Faghih 4 2018 Solving a class of fractional optimal control problems by the Hamilton-Jacobi-Bellman equation. Zbl 1400.93123Rakhshan, Seyed Ali; Effati, Sohrab; Kamyad, Ali Vahidian 4 2018 Observer-based tracking controller design for a class of Lipschitz nonlinear systems. Zbl 1400.93107Yadegar, Meysam; Afshar, Ahmad; Davoodi, Mohammadreza 3 2018 A numerical approach for solving a class of fractional optimal control problems via operational matrix Bernoulli polynomials. Zbl 1400.93120Behroozifar, Mahmoud; Habibi, Neda 3 2018 Direct numerical method for isoperimetric fractional variational problems based on operational matrix. Zbl 1402.93110Ezz-Eldien, Samer S.; Bhrawy, Ali H.; El-Kalaawy, Ahmed A. 3 2018 Identification of an open crack in a beam with variable profile by two resonant frequencies. Zbl 1394.93064Rubio, Lourdes; Fernández-Sáez, José; Morassi, Antonino 2 2018 Comparison on wavelets techniques for solving fractional optimal control problems. Zbl 1400.93124Sahu, P. K.; Saha Ray, S. 2 2018 Finite-time observer-based backstepping control of a flexible launch vehicle. Zbl 1400.93100Duraffourg, Elodie; Burlion, Laurent; Ahmed-Ali, Tarek 2 2018 A research note on the nonstandard finite difference method for solving variable-order fractional optimal control problems. Zbl 1400.26018Zaky, Mahmoud A. 2 2018 Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems. Zbl 1400.93133Rabiei, Kobra; Ordokhani, Yadollah; Babolian, Esmaeil 2 2018 Output feedback boundary control of a flexible marine riser system. Zbl 1400.93093Liu, Yu; Guo, Fang 2 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. 2 2018 A new efficient numerical scheme for solving fractional optimal control problems via a Genocchi operational matrix of integration. Zbl 1402.93148Phang, Chang; Ismail, Noratiqah Farhana; Isah, Abdulnasir; Loh, Jian Rong 2 2018 Adaptive fuzzy dynamic surface control for uncertain discrete-time nonlinear systems in pure-feedback form using a set of noisy measurements. Zbl 1402.93171Yoshimura, Toshio 2 2018 On averaging and input optimization of high-frequency mechanical control systems. Zbl 1394.93108Tahmasian, Sevak; Allen, David W.; Woolsey, Craig A. 1 2018 Optimal vibration control of rotors with an open edge crack using an electromagnetic actuator. Zbl 1381.93053Ebrahimi, Alireza; Heydari, Mahdi; Behzad, Mehdi 1 2018 Boundary control for a flexible manipulator with a robust state observer. Zbl 1387.93085Jiang, Tingting; Liu, Jinkun; He, Wei 1 2018 Generalized reflexive and anti-reflexive solutions of the coupled Sylvester matrix equations via CD algorithm. Zbl 1387.65031Hajarian, Masoud 1 2018 Inducing sustained oscillations in a class of nonlinear discrete time systems. Zbl 1400.39011Hakimi, A. R.; Binazadeh, T. 1 2018 The Rayleigh-Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: a literature review. Zbl 1400.65038Kumar, Yajuvindra 1 2018 The torsional surface wave in a prestressed anisotropic intermediate poroelastic layer of varying heterogeneities. Zbl 1400.74047Kakar, Rajneesh; Kakar, Shikha 1 2018 Exact natural frequencies and buckling load of functionally graded material tapered beam-columns considering semi-rigid connections. Zbl 1400.74038Rezaiee-Pajand, M.; Masoodi, Amir R. 1 2018 Nonlinear vibration analysis of a membrane based on large deflection theory. Zbl 1400.74037Liu, Xiang; Cai, Guo-Ping; Peng, Fu-Jun; Zhang, Hua; Lv, Liang-Liang 1 2018 Convergence characteristics of PD-type and PDD\(^\alpha\)-type iterative learning control for impulsive differential systems with unknown initial states. Zbl 1400.93125Wang, Jinrong; Fečkan, Michal; Liu, Shengda 1 2018 A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems. Zbl 1373.49029Ezz-Eldien, S. S.; Doha, E. H.; Baleanu, D.; Bhrawy, A. H. 23 2017 Linear matrix inequalities design approach for robust stabilization of uncertain nonlinear systems with perturbation based on optimally-tuned global sliding mode control. Zbl 1373.93150Mobayen, Saleh; Baleanu, Dumitru 9 2017 Non standard finite difference method for solving variable order fractional optimal control problems. Zbl 1387.93095Zahra, W. K.; Hikal, M. M. 9 2017 Second-order fast terminal sliding mode control design based on LMI for a class of non-linear uncertain systems and its application to chaotic systems. Zbl 1402.93134Mobayen, Saleh; Baleanu, Dumitru; Tchier, Fairouz 9 2017 \(H_\infty\) control of periodic piecewise vibration systems with actuator saturation. Zbl 1387.93067Li, Panshuo; Lam, James; Cheung, Kie Chung 7 2017 Double integral-balance method to the fractional subdiffusion equation: approximate solutions, optimization problems to be resolved and numerical simulations. Zbl 1375.35602Hristov, Jordan 5 2017 The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation. Zbl 1373.74052Kaplunov, J.; Nobili, A. 4 2017 Linear impulsive control system with impulse time windows. Zbl 1373.49037Feng, Yuming; Yu, Junzhi; Li, Chuandong; Huang, Tingwen; Che, Hangjun 4 2017 Adaptive observer-based synchronization of two non-identical chaotic systems with unknown parameters. Zbl 1373.34083Bagheri, P.; Shahrokhi, M.; Salarieh, H. 3 2017 Vibration analysis of an oscillator with non-smooth dry friction constraint. Zbl 1373.70013Ma, Yali; Yu, Shudong; Wang, Delun 2 2017 Chaos control in lateral oscillations of spinning disk via linear optimal control of discrete systems. Zbl 1373.34100Chekan, Jafar Abbaszadeh; Nojoumian, Mohammad Ali; Merat, Kaveh; Salarieh, Hassan 2 2017 Adaptive type-2 fuzzy estimation of uncertainties in the control of electrically driven flexible-joint robots. Zbl 1366.93321Zirkohi, Majid Moradi; Fateh, Mohammad Mehdi 2 2017 Vibration control of magnetostrictive plate under multi-physical loads via trigonometric higher order shear deformation theory. Zbl 1377.93073Ghorbanpour Arani, Ali; Khoddami Maraghi, Z.; Khani Arani, H. 2 2017 Dispersion of torsional surface wave in an intermediate vertical prestressed inhomogeneous layer lying between heterogeneous half spaces. Zbl 1377.74009Kakar, Rajneesh; Kakar, Shikha 2 2017 Analysis of fractional models physical consistency. Zbl 1387.93094Sabatier, Jocelyn; Farges, Christophe 2 2017 Balancing a wheeled inverted pendulum with a single accelerometer in the presence of time delay. Zbl 1387.93078Xu, Qi; Stepan, Gabor; Wang, Zaihua 2 2017 A novel fast model predictive control for large-scale structures. Zbl 1373.93152Chen, Yuzhen; Zhang, Sheng; Peng, Haijun; Chen, Biaosong; Zhang, Hongwu 1 2017 Active vibration control of a nonlinear three-dimensional Euler-Bernoulli beam. Zbl 1377.93081He, Wei; Yang, Chuan; Zhu, Juxing; Liu, Jin-Kun; He, Xiuyu 1 2017 A robust observer design for a flexible manipulator based on a PDE model. Zbl 1387.93086Jiang, Tingting; Liu, Jinkun; He, Wei 1 2017 Adaptive feedback synchronization of fractional-order complex dynamic networks. Zbl 1387.93100Lei, Youming; Yang, Yong; Fu, Rui; Wang, Yanyan 1 2017 Adaptive feedback suppression of unknown periodic components of acoustic noises with time-varying characteristics. Zbl 1387.93097Jafari, Saeid; Ioannou, Petros; Rudd, Lael 1 2017 Modeling and design of direct nonlinear velocity feedback for modal self-excitation in a class of multi degrees-of-freedom mechanical systems. Zbl 1387.93083Malas, Anindya; Chatterjee, S. 1 2017 Topology optimization of continuum structures with uncertain-but-bounded parameters for maximum non-probabilistic reliability of frequency requirement. Zbl 1402.93118Xu, Bin; Zhao, Lei; Xie, Yi Min; Jiang, Jiesheng 1 2017 A numerical solution for fractional optimal control problems via Bernoulli polynomials. Zbl 1373.49003Keshavarz, E.; Ordokhani, Y.; Razzaghi, M. 30 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. 27 2016 A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials. Zbl 1365.26005Dehghan, Mehdi; Hamedi, Ehsan-Allah; Khosravian-Arab, Hassan 23 2016 Anisotropic fractional diffusion tensor imaging. Zbl 1366.92070Meerschaert, Mark M.; Magin, Richard L.; Ye, Allen Q. 13 2016 The dynamic behavior of a parametrically excited time-periodic MEMS taking into account parametric errors. Zbl 1373.93132Peruzzi, N. J.; Chavarette, F. R.; Balthazar, J. M.; Tusset, A. M.; Perticarrari, A. L. P. M.; Brasil, R. M. F. L. 11 2016 A highly accurate collocation algorithm for \(1+1\) and \(2+1\) fractional percolation equations. Zbl 1366.35213Bhrawy, Ali H. 10 2016 Iterative learning control based on a noninstantaneous impulsive fractional-order system. Zbl 1365.34015Liu, Shengda; Wang, Jinrong; Wei, Wei 9 2016 Robust second-order \(PD^\alpha\) type iterative learning control for a class of uncertain fractional order singular systems. Zbl 1365.93187Lazarević, Mihailo P.; Tzekis, Panagiotis 9 2016 Solving optimal control problems of the time-delayed systems by Haar wavelet. Zbl 1365.49006Nazemi, Alireza; Mansoori, Masoomeh 9 2016 Finite-time robust-tracking and model-following controller for uncertain dynamical systems. Zbl 1358.70036Mobayen, Saleh 8 2016 Numerical schemes for initialized constant and variable fractional-order derivatives: matrix approach and its analog verification. Zbl 1365.34135Sierociuk, Dominik; Malesza, Wiktor; Macias, Michal 8 2016 Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems. Zbl 1366.35227Sayevand, K.; Yazdani, A.; Arjang, F. 6 2016 An efficient method to solve a fractional differential equation by using linear programming and its application to an optimal control problem. Zbl 1365.26008Rakhshan, Seyed Ali; Vahidian Kamyad, Ali; Effati, Sohrab 6 2016 Bifurcation results for a class of fractional Hamiltonian systems with Liouville-Weyl fractional derivatives. Zbl 1365.34017Nyamoradi, Nemat; Zhou, Yong 5 2016 Free vibration of in-plane-aligned membranes of single-walled carbon nanotubes in the presence of in-plane-unidirectional magnetic fields. Zbl 1373.82109Kiani, Keivan 4 2016 Quasi-P and quasi-S waves in a self-reinforced medium under initial stresses and under gravity. Zbl 1373.74027Chatterjee, Mita; Dhua, Sudarshan; Chattopadhyay, Amares 4 2016 Initial conditions-independent limit cycles of a fractional-order van der Pol oscillator. Zbl 1365.34014Liu, Qx; Liu, Jk; Chen, Ym 4 2016 Controllability of nonlinear implicit neutral fractional Volterra integrodifferential systems. Zbl 1366.34105Balachandran, K.; Divya, S.; Rivero, M.; Trujillo, J. J. 3 2016 Controllability of Boolean control networks under asynchronous stochastic update with time delay. Zbl 1358.93032Chao, Luo; Hong, Liu 3 2016 Integrable couplings of the generalized Vakhnenko equation: multiple soliton solutions. Zbl 1358.35162Wazwaz, Abdul-Majid 3 2016 On the stability of iteration methods for special solution of time-fractional generalized nonlinear ZK-BBM equation. Zbl 1365.35198Atangana, Abdon 3 2016 A note on elastic noise source localization. Zbl 1365.74099Wahab, Abdul; Nawaz, Rab 3 2016 Fractional oscillator equation: analytical solution and algorithm for its approximate computation. Zbl 1365.34011Blaszczyk, Tomasz; Ciesielski, Mariusz 3 2016 Effect of smooth moving punch in an initially stressed monoclinic magnetoelastic crystalline medium due to shear wave propagation. Zbl 1365.74133Singh, Abhishek K.; Kumar, Santan; Chattopadhyay, Amares 3 2016 Propagation of a torsional surface wave in a non-homogeneous anisotropic layer over a heterogeneous half-space. Zbl 1373.74053Kundu, Santimoy; Gupta, Shishir; Saha, Anup; Manna, Santanu 2 2016 Theory of generalized thermoelasticity with fractional order strain. Zbl 1373.74032Youssef, Hamdy M. 2 2016 Robust model-based trajectory planning for nonlinear systems. Zbl 1373.70005Boscariol, P.; Gasparetto, A. 2 2016 On comparison between iterative methods for solving nonlinear optimal control problems. Zbl 1366.93256Jafari, Hossein; Ghasempour, Saber; Baleanu, Dumitru 2 2016 Takagi-Sugeno fuzzy control for a wide class of fractional-order chaotic systems with uncertain parameters via linear matrix inequality. Zbl 1366.93318Wang, Bin; Xue, Jianyi; Chen, Diyi 2 2016 Distributed impulsive containment control for second-order multi-agent systems with multiple leaders. Zbl 1366.93269Liu, Jun; Zhou, Jin 2 2016 On the robust stabilizability of unstable systems with feedback delay by finite spectrum assignment. Zbl 1358.93081Molnar, Tamas G.; Insperger, Tamas 2 2016 Bifurcation behavior of steady vibrations of cantilever plates with geometrical nonlinearities interacting with three-dimensional inviscid potential flow. Zbl 1365.74064Avramov, K. V. 2 2016 Exact solution of the time-fractional groundwater flow equation within a leaky aquifer equation. Zbl 1365.35197Atangana, Abdon 2 2016 Dynamic response of a viscoelastic plate impacted by an elastic rod. Zbl 1365.74132Rossikhin, Yu A.; Shitikova, Mv 2 2016 Approximation of a fractional order model by an integer order model: a new approach taking into account approximation error as an uncertainty. Zbl 1365.34019Sabatier, Jocelyn; Farges, Christophe; Fadiga, Lamine 2 2016 Continuous robust control for aeroelastic vibration control of a 2-D airfoil under unsteady flow. Zbl 1365.93211Zhang, K.; Behal, A. 2 2016 Iterative learning control for discrete-time switched systems with attenuation factor. Zbl 1365.93286Cao, Wei; Sun, Ming 2 2016 Axisymmetric free vibration of closed thin spherical nanoshells with bending effects. Zbl 1373.82110Vila, Javier; Zaera, Ramón; Fernández-Sáez, José 1 2016 Adaptive anti-synchronization of chaotic complex systems and chaotic real systems with unknown parameters. Zbl 1366.34090Sun, Junwei; Shen, Yi 1 2016 Optimal vibration control of beams subjected to a mass moving at constant speed. Zbl 1366.49005Stancioiu, Dan; Ouyang, Huajiang 1 2016 A new generic exact solution for free vibration of functionally graded moderately thick doubly curved shallow shell panel. Zbl 1366.74025Fadaee, Mohammad; Reza Ilkhani, Mohammad; Hosseini-Hashemi, Shahrokh 1 2016 An optimal and intelligent control strategy for a class of nonlinear systems: adaptive fuzzy sliding mode. Zbl 1358.93077Soltanpour, Mohammad Reza; Khooban, Mohammad Hassan; Khalghani, Mohammad Reza 1 2016 Accurate method for harmonic responses of non-classically damped systems in the middle frequency range. Zbl 1358.93118Li, Li; Hu, Yujin; Wang, Xuelin 1 2016 Non-probabilistic robust reliability method and reliability-based performance optimization for active vibration control of structures and dynamic systems with bounded uncertain parameters. Zbl 1365.93136Guo, Shu-Xiang 1 2016 On the flexural vibrations of generalized thermo-elasto-diffusive thin cantilever beam. Zbl 1365.74105Sharma, Jn; Kaur, R. 1 2016 Degree of controllability for linear unstable systems. Zbl 1365.93043Lee, Haemin; Park, Youngjin 1 2016 Multi-valued responses of a nonlinear vibro-impact system excited by random narrow-band noise. Zbl 1365.74131Huang, Dongmei; Xu, Wei; Liu, Diu; Han, Qun 1 2016 Synchronization in a nonidentical fractional order of a proposed modified system. Zbl 1349.34201Golmankhaneh, Alireza K.; Arefi, Rouhiyeh; Baleanu, Dumitru 22 2015 Synchronization and anti-synchronization of fractional dynamical networks. Zbl 1358.34065Zhang, Runfan; Chen, Diyi; Do, Younghae; Ma, Xiaoyi 7 2015 ...and 737 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,512 Authors 67 Băleanu, Dumitru I. 40 Machado, José António Tenreiro 36 Torres, Delfim Fernando Marado 26 Dehghan Takht Fooladi, Mehdi 23 Balthazar, José Manoel 23 Bhrawy, Ali Hassan 16 Chen, Chengwu 16 Ordokhani, Yadollah 15 Malinowska, Agnieszka Barbara 15 Rega, Giuseppe 14 Almeida, Ricardo 14 Luongo, Angelo 14 Sadek, Ibrahim S. 14 Zaky, Mahmoud A. 13 Abdeljawad, Thabet 13 Ezz-Eldien, Samer S. 13 Giorgio, Ivan 13 Liu, Fawang 13 Mobayen, Saleh 12 Chen, Yangquan 12 Gupta, Shishir 12 Stépán, Gábor 12 Tusset, Angelo Marcelo 12 Wang, Jinrong 12 Zhu, Weiqiu 11 Chen, Ye-Hwa 11 Ding, Feng 11 Effati, Sohrab 11 Leung, Andrew Yee-Tak 11 Martins, Natália F. 11 Marzban, Hamid-Reza 11 Razzaghi, Mohsen 10 Adali, Sarp 10 Avramov, K. V. 10 Balachandran, Krishnan 10 Bruch, John C. jun. 10 Chattopadhyay, Amares 10 Doha, Eid H. 10 Jarad, Fahd 10 Lenci, Stefano 10 Meng, Guang 10 Nayfeh, Ali Hasan 10 Sloss, James M. 10 Trujillo, Juan J. 9 Abbaszadeh, Mostafa 9 Abdelkawy, Mohamed A. 9 Avazzadeh, Zakieh 9 Golmankhaneh, Alireza Khalili 9 Heydari, Mohammad Hossien 9 Insperger, Tamás 9 Kundu, Santimoy 9 Luo, Albert C. J. 9 Mahmoud, Gamal M. 9 Tatar, Nasser-eddine 8 Abbas, Ibrahim A. A. 8 Assari, Pouria 8 Bahaa, Gaber Mohamed 8 Chernous’ko, Feliks Leonidovich 8 Kamyad, Ali Vahidian 8 Kucuk, Ismail 8 Lamarque, Claude-Henri 8 Madeo, Angela 8 Marin, Marin I. 8 Placidi, Luca 8 Rosi, Giuseppe A. 8 Stanisławski, Rafał 8 Tavazoei, Mohammad Saleh 8 Xu, Jian 8 Yang, Shaopu 7 Abo-dahab, S. M. 7 Al-saedi, Ahmed Eid Salem 7 Atangana, Abdon 7 Cao, Jinde 7 Golmankhaneh, Ali Khalili 7 Govindaraj, Venkatesan 7 Hassani, Hossein 7 Lam, James 7 Litak, Grzegorz 7 Mahmoud, Emad E. 7 Maleknejad, Khosrow 7 Mashayekhi, Somayeh 7 Muslih, Sami I. 7 Ouannas, Adel 7 Rahimkhani, Parisa 7 Sabatier, Jocelyn 7 Saeed, Nasser A. 7 Singh, Abhishek Kumar 7 Sun, Jianqiao 7 Sun, Zhizhong 6 Adibi, Hojatollah 6 Agarwal, Ravi P. 6 Ahmad, Bashir 6 Andreaus, Ugo A. 6 Anh, Vo V. 6 Azar, Ahmad Taher 6 Bartoszewicz, Andrzej 6 Boulkroune, Abdesselem 6 Brogliato, Bernard 6 Cortés López, Juan Carlos 6 D’Annibale, Francesco ...and 4,412 more Authors all top 5 Cited in 293 Journals 264 Journal of Vibration and Control 263 Nonlinear Dynamics 92 Mathematical Problems in Engineering 90 Applied Mathematical Modelling 85 Applied Mathematics and Computation 83 Journal of the Franklin Institute 74 Communications in Nonlinear Science and Numerical Simulation 69 Acta Mechanica 57 Computers & Mathematics with Applications 56 Chaos, Solitons and Fractals 51 European Journal of Mechanics. 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Transaction A: Science 5 Sādhanā 5 Tbilisi Mathematical Journal 4 Inverse Problems 4 Journal of Applied Mathematics and Mechanics 4 Physica A ...and 193 more Journals all top 5 Cited in 48 Fields 873 Systems theory; control (93-XX) 755 Mechanics of deformable solids (74-XX) 694 Ordinary differential equations (34-XX) 495 Numerical analysis (65-XX) 432 Mechanics of particles and systems (70-XX) 356 Partial differential equations (35-XX) 330 Real functions (26-XX) 255 Calculus of variations and optimal control; optimization (49-XX) 179 Dynamical systems and ergodic theory (37-XX) 112 Biology and other natural sciences (92-XX) 109 Integral equations (45-XX) 98 Fluid mechanics (76-XX) 75 Operations research, mathematical programming (90-XX) 58 Probability theory and stochastic processes (60-XX) 56 Special functions (33-XX) 46 Information and communication theory, circuits (94-XX) 41 Operator theory (47-XX) 41 Computer science (68-XX) 34 Difference and functional equations (39-XX) 30 Statistics (62-XX) 26 Optics, electromagnetic theory (78-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 21 Approximations and expansions (41-XX) 21 Geophysics (86-XX) 19 Integral transforms, operational calculus (44-XX) 18 Classical thermodynamics, heat transfer (80-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 12 Measure and integration (28-XX) 9 Functional analysis (46-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 History and biography (01-XX) 8 Quantum theory (81-XX) 5 Potential theory (31-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Relativity and gravitational theory (83-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year