Communications in Nonlinear Science and Numerical Simulation Short Title: Commun. Nonlinear Sci. Numer. Simul. Publisher: Elsevier, Amsterdam ISSN: 1007-5704 Online: https://www.sciencedirect.com/journal/communications-in-nonlinear-science-and-numerical-simulation/issues Documents Indexed: 6,124 Publications (since 1996) References Indexed: 5,840 Publications with 185,759 References. all top 5 Latest Issues 119 (2023) 118 (2023) 117 (2023) 116 (2023) 115 (2022) 114 (2022) 113 (2022) 112 (2022) 111 (2022) 110 (2022) 108 (2022) 107 (2022) 106 (2022) 105 (2022) 104 (2022) 103 (2021) 102 (2021) 101 (2021) 100 (2021) 99 (2021) 98 (2021) 97 (2021) 96 (2021) 95 (2021) 94 (2021) 93 (2021) 92 (2021) 91 (2020) 90 (2020) 89 (2020) 88 (2020) 87 (2020) 86 (2020) 85 (2020) 84 (2020) 83 (2020) 82 (2020) 81 (2020) 80 (2020) 79 (2019) 78 (2019) 77 (2019) 76 (2019) 75 (2019) 74 (2019) 73 (2019) 72 (2019) 71 (2019) 70 (2019) 69 (2019) 68 (2019) 67 (2019) 66 (2019) 65 (2018) 64 (2018) 63 (2018) 62 (2018) 61 (2018) 60 (2018) 59 (2018) 58 (2018) 57 (2018) 56 (2018) 55 (2018) 54 (2018) 53 (2017) 52 (2017) 51 (2017) 50 (2017) 49 (2017) 48 (2017) 47 (2017) 46 (2017) 45 (2017) 44 (2017) 43 (2017) 42 (2017) 41 (2016) 40 (2016) 39 (2016) 38 (2016) 37 (2016) 36 (2016) 35 (2016) 34 (2016) 33 (2016) 32 (2016) 31, No. 1-3 (2016) 30, No. 1-3 (2015) 29, No. 1-3 (2015) 28, No. 1-3 (2015) 27, No. 1-3 (2015) 26, No. 1-3 (2015) 25, No. 1-3 (2015) 24, No. 1-3 (2015) 23, No. 1-3 (2015) 22, No. 1-3 (2015) 21, No. 1-3 (2015) 20, No. 3 (2015) 20, No. 2 (2015) ...and 140 more Volumes all top 5 Authors 46 Machado, José António Tenreiro 35 Hayat, Tasawar 33 Sanjuán, Miguel A. F. 32 Guo, Boling 31 Băleanu, Dumitru I. 30 Biswas, Anjan 30 Shang, Pengjian 29 Wazwaz, Abdul-Majid Abdul-Rahman 27 Luo, Albert C. J. 26 Ibragimov, Nail Hairullovich 26 Liao, Shijun 25 Meleshko, Sergey V. 24 Tian, Bo 24 Xu, Wei 23 Kudryashov, Nikolaĭ Alekseevich 21 Abbasbandy, Saeid 21 Malomed, Boris A. 21 Zhong, Shou-Ming 18 Cao, Jinde 18 Yu, Pei 17 Chen, Guanrong 17 Rand, Richard H. 16 Gandarias Núñez, Maria Luz 16 Macías-Díaz, Jorge Eduardo 15 Chen, Yong 15 Kofané, Timoléon Crépin 15 Ma, Jun 15 Tarasov, Vasily E. 15 Vajravelu, Kuppalapalle 15 Wang, Jiang 15 Wang, Jinrong 14 Awrejcewicz, Jan 14 Chen, Lansun 14 He, Jihuan 14 Khalique, Chaudry Masood 14 Lü, Xing 14 Ma, Wen-Xiu 14 Wang, Ke 13 Bi, Qinsheng 13 Deng, Bin 13 Kim, Junseok 13 Li, Yongkun 13 Ruan, Jiong 13 Wang, Xingyuan 13 Yamapi, René 13 Zhang, Yufeng 12 Bowong, Samuel 12 He, Jingsong 12 Maleknejad, Khosrow 12 Ryashko, Lev Borisovich 12 Sun, Jianqiao 12 Tian, Lixin 12 van Gorder, Robert Ashton 12 Wiggins, Stephen 11 Algaba, Antonio 11 Asghar, Saleem 11 Bashkirtseva, Irina Adol’fovna 11 Batista, Antonio Marcos 11 Chen, Guoqian 11 Dehghan Takht Fooladi, Mehdi 11 Fu, Xilin 11 Jiang, Daqing 11 Kevrekidis, Panayotis G. 11 Li, Houqiang 11 Lin, Chang 11 Lopes, António M. 11 Ma, Junhai 11 Masdemont, Josep J. 11 Noorani, Mohd Salmi Mohd 11 O’Regan, Donal 11 Pop, Ioan 11 Seoane, Jesús M. 11 Tchawoua, Clement 11 Wei, Xile 11 Woafo, Paul 11 Zaslavskiĭ, Georgiĭ Moiseevich 11 Zhang, Hongqing 10 Akhmet, Marat Ubaydulla 10 Fečkan, Michal 10 Gómez, Gerard 10 Kurths, Jürgen 10 Li, Xiaodi 10 Liao, Xiaofeng 10 Liu, Xinzhi 10 Ramm, Alexander G. 10 Starkov, Konstantin E. 10 Sun, Wen-Rong 10 Wang, Lei 10 Wong, Kwokwo 10 Xiao, Di 10 Xu, Rui 10 Yan, Zhenya 9 Agarwal, Ravi P. 9 Ayub, Muhammad 9 Balasubramaniam, Pagavathigounder 9 Bruzón, Maria Santos 9 Butcher, Eric A. 9 Cao, Hongjun 9 Chen, Guo Qian 9 Cherniha, Roman M. ...and 9,557 more Authors all top 5 Fields 1,660 Partial differential equations (35-XX) 1,331 Ordinary differential equations (34-XX) 1,261 Dynamical systems and ergodic theory (37-XX) 910 Biology and other natural sciences (92-XX) 823 Numerical analysis (65-XX) 758 Fluid mechanics (76-XX) 704 Systems theory; control (93-XX) 434 Mechanics of particles and systems (70-XX) 386 Mechanics of deformable solids (74-XX) 318 Statistical mechanics, structure of matter (82-XX) 268 Probability theory and stochastic processes (60-XX) 254 Information and communication theory, circuits (94-XX) 239 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 235 Real functions (26-XX) 232 Optics, electromagnetic theory (78-XX) 159 General and overarching topics; collections (00-XX) 151 Computer science (68-XX) 143 Statistics (62-XX) 142 Operations research, mathematical programming (90-XX) 121 Classical thermodynamics, heat transfer (80-XX) 118 Quantum theory (81-XX) 92 Calculus of variations and optimal control; optimization (49-XX) 89 Integral equations (45-XX) 84 Geophysics (86-XX) 76 Operator theory (47-XX) 72 Difference and functional equations (39-XX) 56 Special functions (33-XX) 44 Measure and integration (28-XX) 40 Combinatorics (05-XX) 36 Astronomy and astrophysics (85-XX) 30 Global analysis, analysis on manifolds (58-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 Approximations and expansions (41-XX) 19 Relativity and gravitational theory (83-XX) 18 Integral transforms, operational calculus (44-XX) 13 Nonassociative rings and algebras (17-XX) 12 Number theory (11-XX) 9 Functions of a complex variable (30-XX) 8 Differential geometry (53-XX) 7 General topology (54-XX) 5 Topological groups, Lie groups (22-XX) 5 Functional analysis (46-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Sequences, series, summability (40-XX) 3 Manifolds and cell complexes (57-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,309 Publications have been cited 37,482 times in 23,567 Documents Cited by ▼ Year ▼ Recent history of fractional calculus. Zbl 1221.26002Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco 430 2011 Notes on the homotopy analysis method: some definitions and theorems. Zbl 1221.65126Liao, Shijun 240 2009 Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems. Zbl 1333.34007Duarte-Mermoud, Manuel A.; Aguila-Camacho, Norelys; Gallegos, Javier A.; Castro-Linares, Rafael 193 2015 Homotopy analysis method for fractional IVPs. Zbl 1221.65277Hashim, I.; Abdulaziz, O.; Momani, S. 191 2009 A Caputo fractional derivative of a function with respect to another function. Zbl 1465.26005Almeida, Ricardo 183 2017 On the concept and existence of solution for impulsive fractional differential equations. Zbl 1252.35277Fečkan, Michal; Zhou, Yong; Wang, Jinrong 176 2012 A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan 175 2018 On the \(\psi\)-Hilfer fractional derivative. Zbl 1470.26015Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 172 2018 An optimal homotopy-analysis approach for strongly nonlinear differential equations. Zbl 1222.65088Liao, Shijun 161 2010 Fractional calculus in viscoelasticity: an experimental study. Zbl 1221.74012Meral, F. C.; Royston, T. J.; Magin, R. 160 2010 Lyapunov functions for fractional order systems. Zbl 07175104Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Gallegos, Javier A. 143 2014 One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055Kudryashov, Nikolay A. 137 2012 Homotopy analysis method for quadratic Riccati differential equation. Zbl 1132.34305Tan, Yue; Abbasbandy, Saeid 122 2008 On the numerical solutions for the fractional diffusion equation. Zbl 1221.65263Khader, M. M. 113 2011 Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146Salahshour, S.; Allahviranloo, T.; Abbasbandy, S. 112 2012 Solving a nonlinear fractional differential equation using Chebyshev wavelets. Zbl 1222.65087Li, Yuanlu 109 2010 Stability analysis of a prey-predator model incorporating a prey refuge. Zbl 1064.92045Kar, Tapan Kumar 108 2005 Fractional Poisson process. Zbl 1025.35029Laskin, Nick 108 2003 Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342Kudryashov, Nikolai A. 108 2009 The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121Saadatmandi, Abbas; Dehghan, Mehdi; Azizi, Mohammad-Reza 107 2012 No violation of the Leibniz rule. No fractional derivative. Zbl 1329.26015Tarasov, Vasily E. 103 2013 The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations. Zbl 1221.34068Zhao, Yige; Sun, Shurong; Han, Zhenlai; Li, Qiuping 103 2011 Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet. Zbl 1335.45002Zhu, Li; Fan, Qibin 101 2012 An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Zbl 1078.76022Liao, Shijun 100 2006 Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. Zbl 1221.49038Almeida, Ricardo; Torres, Delfim F. M. 100 2011 Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. Zbl 1221.93091Wang, Xing-Yuan; Song, Jun-Mei 99 2009 New solitons and kink solutions for the Gardner equation. Zbl 1118.35352Wazwaz, Abdul-Majid 91 2007 The Legendre wavelet method for solving fractional differential equations. Zbl 1222.65063Ur Rehman, Mujeeb; Ali Khan, Rahmat 87 2011 Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid 85 2008 The uniqueness of positive solution for a singular fractional differential system involving derivatives. Zbl 1283.34006Zhang, Xinguang; Liu, Lishan; Wu, Yonghong 83 2013 On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Zbl 1221.93230Rafikov, Marat; Balthazar, José Manoel 80 2008 Some applications of fractional equations. Zbl 1041.35073Weitzner, H.; Zaslavsky, G. M. 79 2003 Approximate controllability of nonlinear fractional dynamical systems. Zbl 1344.93019Sakthivel, R.; Ganesh, R.; Ren, Yong; Anthoni, S. M. 79 2013 Lie symmetry analysis to the time fractional generalized fifth-order KdV equation. Zbl 1304.35624Wang, Gang-wei; Liu, Xi-qiang; Zhang, Ying-yuan 76 2013 Synchronization of different fractional order chaotic systems using active control. Zbl 1222.94031Bhalekar, Sachin; Daftardar-Gejji, Varsha 75 2010 Be careful with the Exp-function method. Zbl 1221.35344Kudryashov, Nikolai A.; Loguinova, Nadejda B. 74 2009 The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar 72 2012 Volterra-type Lyapunov functions for fractional-order epidemic systems. Zbl 1440.92067Vargas-De-León, Cruz 72 2015 New concepts and results in stability of fractional differential equations. Zbl 1252.35276Wang, Jinrong; Lv, Linli; Zhou, Yong 71 2012 A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations. Zbl 1226.65062Esmaeili, Shahrokh; Shamsi, M. 69 2011 Modified fractional Euler method for solving fuzzy fractional initial value problem. Zbl 1253.35208Mazandarani, Mehran; Kamyad, Ali Vahidian 69 2013 Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. Zbl 1221.65278Jafari, H.; Seifi, S. 69 2009 The existence of solutions for boundary value problem of fractional hybrid differential equations. Zbl 1352.34011Sun, Shurong; Zhao, Yige; Han, Zhenlai; Li, Yanan 68 2012 A theory for synchronization of dynamical systems. Zbl 1221.37218Luo, Albert C. J. 68 2009 Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity. Zbl 1222.35062Vitanov, Nikolay K. 67 2010 How to impose physically coherent initial conditions to a fractional system? Zbl 1221.34019Sabatier, Jocelyn; Merveillaut, Mathieu; Malti, Rachid; Oustaloup, Alain 66 2010 Positive solutions to singular fractional differential system with coupled boundary conditions. Zbl 1329.34010Jiang, Jiqiang; Liu, Lishan; Wu, Yonghong 65 2013 Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006Abdeljawad, Thabet; Baleanu, Dumitru 65 2011 Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials. Zbl 1266.65115Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi 65 2012 A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter. Zbl 1221.94049Kiani-B, Arman; Fallahi, Kia; Pariz, Naser; Leung, Henry 65 2009 The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage. Zbl 1221.34034Li, Yongfeng; Cui, Jingan 65 2009 New travelling wave solutions to the Boussinesq and the Klein-Gordon equations. Zbl 1221.35372Wazwaz, Abdul-Majid 64 2008 Finite-time synchronization control of complex dynamical networks with time delay. Zbl 1311.34157Mei, Jun; Jiang, Minghui; Xu, Wangming; Wang, Bin 64 2013 The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants. Zbl 1078.35108Wazwaz, Abdul-Majid 63 2006 Fractional dynamics of systems with long-range interaction. Zbl 1106.35103Tarasov, Vasily E.; Zaslavsky, George M. 62 2006 On “new travelling wave solutions” of the KdV and the KdV-Burgers equations. Zbl 1221.35343Kudryashov, Nikolai A. 62 2009 Design of sliding mode controller for a class of fractional-order chaotic systems. Zbl 1248.93041Yin, Chun; Zhong, Shou-ming; Chen, Wu-fan 61 2012 Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations. Zbl 1344.65126Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Cattani, C. 61 2014 A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order. Zbl 1221.65354Saeedi, H.; Moghadam, M. Mohseni; Mollahasani, N.; Chuev, G. N. 61 2011 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. 60 2017 Leibniz type rule: \(\psi\)-Hilfer fractional operator. Zbl 1477.26012Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 59 2019 Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations. Zbl 1244.65243Maleknejad, Khosrow; Hashemizadeh, Elham; Basirat, B. 58 2012 Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 58 2011 Solving a system of nonlinear fractional partial differential equations using homotopy analysis method. Zbl 1221.35439Jafari, H.; Seifi, S. 57 2009 Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China. Zbl 1444.92114Ivorra, B.; Ferrández, M. R.; Vela-Pérez, Maria; Ramos, A. M. 57 2020 Grey system model with the fractional order accumulation. Zbl 1274.62639Wu, Lifeng; Liu, Sifeng; Yao, Ligen; Yan, Shuli; Liu, Dinglin 56 2013 A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. Zbl 1244.65099Bhrawy, Ali H.; Alofi, A. S. 56 2012 Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel. Zbl 1127.76069Haroun, Mohamed H. 56 2007 An approximate solution technique depending on an artificial parameter: A special example. Zbl 0921.35009He, Jihuan 55 1998 A sliding mode control for linear fractional systems with input and state delays. Zbl 1221.93048Si-Ammour, Amar; Djennoune, Said; Bettayeb, Maamar 54 2009 Finite-time chaos control via nonsingular terminal sliding mode control. Zbl 1221.37225Wang, Hua; Han, Zheng-Zhi; Xie, Qi-Yue; Zhang, Wei 54 2009 Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays. Zbl 1221.93254Balasubramaniam, P.; Vembarasan, V.; Rakkiyappan, R. 54 2011 Adiabatic parameter dynamics of perturbed solitary waves. Zbl 1221.35321Antonova, Mariana; Biswas, Anjan 53 2009 Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations. Zbl 1221.34083Grace, Said R.; Agarwal, Ravi P.; Bohner, Martin; O’Regan, Donal 53 2009 On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. Zbl 1221.65208Van Gorder, Robert A.; Vajravelu, K. 53 2009 A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation. Zbl 1221.65334Maleknejad, K.; Hashemizadeh, E.; Ezzati, R. 53 2011 Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets. Zbl 1221.65140Saeedi, H.; Moghadam, M. Mohseni 53 2011 Complete controllability of fractional evolution systems. Zbl 1248.93029Wang, Jinrong; Zhou, Yong 53 2012 Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations. Zbl 1351.35250Gazizov, R. K.; Ibragimov, N. H.; Lukashchuk, S. Yu. 53 2015 Exponential stability of second-order stochastic evolution equations with Poisson jumps. Zbl 1273.60077Sakthivel, R.; Ren, Y. 52 2012 The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan 52 2011 Fuzzy fractional functional differential equations under Caputo gH-differentiability. Zbl 1336.34009Ngo Van Hoa 51 2015 Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response. Zbl 1221.34152Liu, Meng; Wang, Ke 51 2011 The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms. Zbl 1221.35373Wazwaz, Abdul-Majid 51 2008 Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160Kudryashov, Nikolai A. 51 2010 A collocation-shooting method for solving fractional boundary value problems. Zbl 1222.65078Al-Mdallal, Qasem M.; Syam, Muhammed I.; Anwar, M. N. 51 2010 On shifted Jacobi spectral method for high-order multi-point boundary value problems. Zbl 1251.65112Doha, E. H.; Bhrawy, A. H.; Hafez, R. M. 51 2012 A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces. Zbl 1223.45007Wang, Jinrong; Zhou, Yong; Wei, W. 50 2011 Solution of the MHD Falkner-Skan flow by homotopy analysis method. Zbl 1221.76133Abbasbandy, S.; Hayat, T. 50 2009 Viscous flow over a shrinking sheet with a second order slip flow model. Zbl 1222.76028Fang, Tiegang; Yao, Shanshan; Zhang, Ji; Aziz, Abdul 49 2010 Bifurcations of fuzzy nonlinear dynamical systems. Zbl 1078.37049Hong, Ling; Sun, Jian-Qiao 48 2006 Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Zbl 1286.34106Li, Xiaodi; Rakkiyappan, R. 48 2013 Robust finite-time \(H_{\infty }\) control for a class of uncertain switched neutral systems. Zbl 1239.93036Xiang, Zhengrong; Sun, Ya-Nan; Mahmoud, Magdi S. 48 2012 Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit. Zbl 1221.93227Matouk, A. E. 48 2011 On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 07263357Baleanu, Dumitru; Fernandez, Arran 48 2018 Synchronization of the unified chaotic system and application in secure communication. Zbl 1221.94047Grzybowski, J. M. V.; Rafikov, M.; Balthazar, J. M. 47 2009 Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations. Zbl 1222.65147Maleknejad, K.; Almasieh, H.; Roodaki, M. 47 2010 The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models. Zbl 1221.65178Wazwaz, Abdul-Majid 46 2011 Complex dynamics in a prey predator system with multiple delays. Zbl 1243.92051Gakkhar, Sunita; Singh, Anuraj 46 2012 Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller. Zbl 1248.93146Aghababa, Mohammad Pourmahmood 46 2012 Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity. Zbl 07609335Qiu, Wenlin; Xiao, Xu; Li, Kexin 2 2023 Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models. Zbl 1502.74043Tang, Yuan; Qing, Hai 2 2023 Finite-time mixed \(H_\infty\) and passivity analysis for Takagi-Sugeno fuzzy system with time-varying delays and actuator faults. Zbl 1501.93134Mao, Di; Ma, Yuechao 1 2023 The analysis of solitonic, supernonlinear, periodic, quasiperiodic, bifurcation and chaotic patterns of perturbed Gerdjikov-Ivanov model with full nonlinearity. Zbl 1500.35271Rafiq, Muhammad Hamza; Jhangeer, Adil; Raza, Nauman 1 2023 Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed sinh-Gordon equation. Zbl 1501.35017Raza, Nauman; Salman, Farwa; Butt, Asma Rashid; Gandarias, María Luz 1 2023 Dynamical behavior of a stochastic SIQR epidemic model with Ornstein-Uhlenbeck process and standard incidence rate after dimensionality reduction. Zbl 1501.92210Zhou, Yaxin; Jiang, Daqing 1 2023 Filtering properties of Hodgkin-Huxley neuron on different time-scale signals. Zbl 07634537Yu, Dong; Wang, Guowei; Li, Tianyu; Ding, Qianming; Jia, Ya 1 2023 Nonlocal delay driven spatiotemporal patterns in a single-species reaction-diffusion model. Zbl 07634539Wang, Wen; Liu, Shutang 1 2023 Nonlinear flexure mechanics of mixture unified gradient nanobeams. Zbl 07634567Faghidian, S. Ali; Żur, Krzysztof Kamil; Elishakoff, Isaac 1 2023 Equivalence of MTS and CMR methods associated with the normal form of Hopf bifurcation for delayed reaction-diffusion equations. Zbl 07634604Ding, Yuting; Liu, Gaoyang; Zheng, Liyuan 1 2023 \(N\)-soliton solutions of the Fokas-Lenells equation for the plasma ion-cyclotron waves: inverse scattering transform approach. Zbl 07654047Lashkin, V. M. 1 2023 Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes. Zbl 1477.74042Jin, Qiduo; Ren, Yiru 9 2022 PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. Zbl 1497.35440Peng, Wei-Qi; Pu, Jun-Cai; Chen, Yong 9 2022 KAM quasi-periodic tori for the dissipative spin-orbit problem. Zbl 1480.37070Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael 7 2022 Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells. Zbl 1482.74086Liu, Yunfei; Qin, Zhaoye; Chu, Fulei 6 2022 Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations. Zbl 1481.78025Wang, Xin; Wang, Lei; Liu, Chong; Guo, Bowen; Wei, Jiao 6 2022 A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates. Zbl 07428002Oruç, Ömer 5 2022 Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients. Zbl 1497.35413Li, Qianqian; Shan, Wenrui; Wang, Panpan; Cui, Haoguang 5 2022 On the stability of satellites at unstable libration points of Sun-planet-Moon systems. Zbl 1493.70051Reiff, Johannes; Zatsch, Jonas; Main, Jörg; Hernandez, Rigoberto 4 2022 Certain electromagnetic waves in a ferromagnetic film. Zbl 1497.35449Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Yin, Hui-Min; Du, Xia-Xia; Yang, Dan-Yu 4 2022 Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques. Zbl 1476.65145Rufai, Mufutau Ajani; Ramos, Higinio 4 2022 Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source. Zbl 07428014Hassan, Sattar M.; Harfash, Akil J. 3 2022 Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana-Baleanu fractional derivative. Zbl 1478.92202Kolebaje, O. T.; Vincent, O. R.; Vincent, U. E.; McClintock, P. V. E. 3 2022 Nonlinear dynamic analysis of nonlocal composite laminated toroidal shell segments subjected to mechanical shock. Zbl 07443106Karimipour, I.; Beni, Y. Tadi 3 2022 Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix. Zbl 07469331Tian, He-Yuan; Tian, Bo; Sun, Yan; Zhang, Chen-Rong 3 2022 Lucas polynomials based spectral methods for solving the fractional order electrohydrodynamics flow model. Zbl 07469333Sahlan, M. Nosrati; Afshari, H. 3 2022 Unconditionally energy stable schemes for fluid-based topology optimization. Zbl 07526842Li, Yibao; Wang, Kunyang; Yu, Qian; Xia, Qing; Kim, Junseok 3 2022 A bridge between invariant dynamical structures and uncertainty quantification. Zbl 1483.37114García-Sánchez, G.; Mancho, A. M.; Wiggins, S. 2 2022 Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry. Zbl 1494.37034Nozaleda, Daniel Reyes; Tempesta, Piergiulio; Tondo, Giorgio 2 2022 Distributed optimal control problems for a class of elliptic hemivariational inequalities with a parameter and its asymptotic behavior. Zbl 1480.35252Gariboldi, Claudia M.; Tarzia, Domingo A. 2 2022 On a new class of abstract mixed variational-hemivariational problems. Zbl 1477.49018Matei, Andaluzia 2 2022 Analysis and discretization of a variable-order fractional wave equation. Zbl 07428007Zheng, Xiangcheng; Wang, Hong 2 2022 On numerical approximations of fractional-order spiking neuron models. Zbl 1478.92036AbdelAty, A. M.; Fouda, M. E.; Eltawil, A. M. 2 2022 On pattern formation in reaction-diffusion systems containing self- and cross-diffusion. Zbl 07443093Aymard, Benjamin 2 2022 Nonlinear dynamics of new magneto-mechanical oscillator. Zbl 1492.74035Hao, Zhifeng; Wang, Dan; Wiercigroch, Marian 2 2022 Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems. Zbl 07443102Fan, Enyu; Li, Changpin; Li, Zhiqiang 2 2022 KAM quasi-periodic solutions for the dissipative standard map. Zbl 1494.37043Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 2 2022 Breather-soliton molecules and breather-positons for the extended complex modified KdV equation. Zbl 07469346Lv, Nannan; Huang, Lin 2 2022 Asymmetric scattering between kinks and wobblers. Zbl 07469357Alonso-Izquierdo, A.; Nieto, L. M.; Queiroga-Nunes, J. 2 2022 Knowledge transmission model in the multiplex networks with consideration of online and offline channels. Zbl 1483.90040Zhu, Hongmiao; Yan, Xin; Jin, Zhen 2 2022 Computer-assisted proof for the stationary solution existence of the Navier-Stokes equation over 3D domains. Zbl 1493.65218Liu, Xuefeng; Nakao, Mitsuhiro T.; Oishi, Shin’ichi 2 2022 One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay. Zbl 07474634Zhang, Chengjian; Tang, Changyang 2 2022 Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift. Zbl 07474638Kengne, Emmanuel; Liu, WuMing 2 2022 Finite-time dissipative control for discrete-time stochastic delayed systems with Markovian switching and interval parameters. Zbl 1490.93112Chen, Guici; Yang, Jinrong; Zhou, Xin 2 2022 Pattern formation in a thermosensitive neural network. Zbl 1498.34140Xu, Ying; Ma, Jun 2 2022 Simulation of hybrid systems under Zeno behavior using numerical infinitesimals. Zbl 1492.93086Falcone, Alberto; Garro, Alfredo; Mukhametzhanov, Marat S.; Sergeyev, Yaroslav D. 2 2022 Characterisation of the elementary cellular automata with neighbourhood priority based deterministic updates. Zbl 1484.37018Balbi, Pedro Paulo; de Mattos, Thiago; Ruivo, Eurico 1 2022 Painting the phase space of dissipative systems with Lagrangian descriptors. Zbl 1483.37100García-Garrido, Víctor J.; García-Luengo, Julia 1 2022 Conditional physics informed neural networks. Zbl 1485.65086Kovacs, Alexander; Exl, Lukas; Kornell, Alexander; Fischbacher, Johann; Hovorka, Markus; Gusenbauer, Markus; Breth, Leoni; Oezelt, Harald; Yano, Masao; Sakuma, Noritsugu; Kinoshita, Akihito; Shoji, Tetsuya; Kato, Akira; Schrefl, Thomas 1 2022 Transition state dynamics of a driven magnetic free layer. Zbl 1487.78004Mögerle, Johannes; Schuldt, Robin; Reiff, Johannes; Main, Jörg; Hernandez, Rigoberto 1 2022 Noise activates escapes in closed Hamiltonian systems. Zbl 1485.37058Nieto, Alexandre R.; Seoane, Jesús M.; Sanjuán, Miguel A. F. 1 2022 Order flow in the financial markets from the perspective of the fractional Lévy stable motion. Zbl 07443090Gontis, V. 1 2022 Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors. Zbl 1494.37053Katsanikas, Matthaios; Sanjuan, Broncio Aguilar; Montoya, Francisco González; García-Garrido, Víctor J.; Wiggins, Stephen 1 2022 Computer assisted proof of drift orbits along normally hyperbolic manifolds. Zbl 1485.37071Capiński, Maciej J.; Gonzalez, Jorge; Marco, Jean-Pierre; Mireles James, Jason D. 1 2022 A generalized \((1+2)\)-dimensional Bogoyavlenskii-Kadomtsev-Petviashvili (BKP) equation: multiple exp-function algorithm; conservation laws; similarity solutions. Zbl 1479.35178Moretlo, T. S.; Adem, A. R.; Muatjetjeja, B. 1 2022 Closed-form formulas for conditional moments of inhomogeneous Pearson diffusion processes. Zbl 1479.60165Sutthimat, Phiraphat; Mekchay, Khamron 1 2022 Analysis of a diffusive HBV model with logistic proliferation and non-cytopathic antiviral mechanisms. Zbl 1483.35293Wang, Jinliang; Wu, Xiaoqing; Kuniya, Toshikazu 1 2022 A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity. Zbl 07469338Liu, Peng; Ouyang, Zhigang; Chen, Chuanjun; Yang, Xiaofeng 1 2022 Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili equation. Zbl 07469342Sun, Yong-Li; Chen, Jing; Ma, Wen-Xiu; Yu, Jian-Ping; Khalique, Chaudry Masood 1 2022 Robust \(H_{\infty}\) integral controller design for regulation problem of uncertain nonlinear systems with non-zero set-point. Zbl 1482.93163Ghaffari, Valiollah; Mobayen, Saleh 1 2022 Emergence of extreme events in coupled systems with time-dependent interactions. Zbl 1496.34070Kumarasamy, Suresh; Srinivasan, Sabarathinam; Gogoi, Pragjyotish Bhuyan; Prasad, Awadhesh 1 2022 Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. Zbl 1483.35119Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi 1 2022 Response probability density function for non-bijective transformations. Zbl 07469359La Valle, Gabriele; Laudani, Rossella; Falsone, Giovanni 1 2022 Competitive exclusion and coexistence in an intraguild predation model with Beddington-DeAngelis functional response. Zbl 1482.92070Ji, Juping; Wang, Lin 1 2022 Rotating periodic patterns in reaction diffusion systems. Zbl 1483.35022Zhang, He; Xu, Fei; Li, Yong 1 2022 Modeling the virus-induced tumor-specific immune response with delay in tumor virotherapy. Zbl 1483.92081Li, Qian; Xiao, Yanni 1 2022 Bifurcation analysis of an ecological model with nonlinear state-dependent feedback control by Poincaré map defined in phase set. Zbl 1496.34088Zhang, Qianqian; Tang, Sanyi 1 2022 A finite element method for simulating soft active non-shearable rods immersed in generalized Newtonian fluids. Zbl 1482.76157Ausas, Roberto Federico; Gebhardt, Cristian Guillermo; Buscaglia, Gustavo Carlos 1 2022 Computation of periodic orbits for piecewise linear oscillator by harmonic balance methods. Zbl 1491.65161Pei, Lijun; Chong, Antonio S. E.; Pavlovskaia, Ekaterina; Wiercigroch, Marian 1 2022 The stability of exact solitary wave solutions for simplified modified Camassa-Holm equation. Zbl 1479.35681Liu, XiaoHua 1 2022 Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction-diffusion equations having discontinuous source terms. Zbl 1480.65222Rao, S. Chandra Sekhara; Chaturvedi, Abhay Kumar 1 2022 Wave propagation behavior in nonlinear media and resonant nonlinear interactions. Zbl 1482.76028Islam, M. Nurul; İlhan, Onur Alp; Akbar, M. Ali; Benli, Fatma Berna; Soybaş, Danyal 1 2022 New criteria of almost sure exponential stability and instability of nonlinear stochastic systems with a generalization to stochastic coupled systems. Zbl 1490.93109Li, Sen; Lv, Congying; Ding, Xiaohua 1 2022 Nonlinear vibrations of a beam with non-ideal boundary conditions and subjected to two correlated or uncorrelated broadband random excitations – experiments, modeling and simulations. Zbl 1490.74049Talik, S.; Sinou, J.-J.; Claeys, M.; Lambelin, J.-P. 1 2022 Experiment design for elementary fractional models. Zbl 1490.93027Malti, Rachid; Mayoufi, Abir; Victor, Stéphane 1 2022 Management of invasive cells in soft biological tissues through modulated nonlinear excitations: long-range effects. Zbl 1490.92011Kuipou, W. Domgno; Mohamadou, A. 1 2022 The nonlinear mechanisms underlying the various stochastic dynamics evoked from different bursting patterns in a neuronal model. Zbl 1490.92013Hua, Hongtao; Gu, Huaguang; Jia, Yanbing; Lu, Bo 1 2022 Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. Zbl 1489.35257Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi 1 2022 Compact patterns in a class of sublinear Gardner equations. Zbl 1489.35242Rosenau, Philip; Oron, Alexander 1 2022 Collective dynamics of neural network with distance dependent field coupling. Zbl 1490.92006Remi, T.; Subha, P. A.; Usha, K. 1 2022 A variational inequality based stochastic approximation for estimating the flexural rigidity in random fourth-order models. Zbl 1489.35312Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio; Sama, Miguel 1 2022 Analysis of a stochastic population model with mean-reverting Ornstein-Uhlenbeck process and Allee effects. Zbl 1490.92059Zhou, Baoquan; Jiang, Daqing; Hayat, Tasawar 1 2022 Analysis of a stochastic predator-prey model with weak Allee effect and Holling-(n+1) functional response. Zbl 1490.92058Yang, Qing; Zhang, Xinhong; Jiang, Daqing; Shao, Mingguang 1 2022 Dynamical analysis for a car-following model with delayed-feedback control of both velocity and acceleration differences. Zbl 1489.90015Jin, Yanfei; Meng, Jingwei; Xu, Meng 1 2022 New criteria on exponential stability of impulsive stochastic delayed differential systems with infinite delays. Zbl 1498.34224Xu, Haofeng; Zhu, Quanxin 1 2022 Robust optimal control of compartmental models in epidemiology: application to the COVID-19 pandemic. Zbl 1490.92111Olivares, Alberto; Staffetti, Ernesto 1 2022 On the equilateral pentagonal central configurations. Zbl 07540478Alvarez-Ramírez, M.; Gasull, A.; Llibre, J. 1 2022 Relaxation oscillations in a slow-fast predator-prey model with weak Allee effect and Holling-IV functional response. Zbl 1487.92031Zhao, Liang; Shen, Jianhe 1 2022 Traveling curved fronts in the buffered bistable systems in \(\mathbb{R}^2\). Zbl 1491.35113Jia, Fu-Jie; Wang, Xiaohui; Wang, Zhi-Cheng 1 2022 Fully decoupled pressure projection scheme for the numerical solution of diffuse interface model of two-phase flow. Zbl 07540492Sohaib, Muhammad; Shah, Abdullah 1 2022 Degenerate lump interactions within the Kadomtsev-Petviashvili equation. Zbl 1498.37109Zhang, Zhao; Li, Biao; Chen, Junchao; Guo, Qi; Stepanyants, Yury 1 2022 The effect of advection on a predator-prey model in open advective environments. Zbl 1492.92072Xin, Shixia; Li, Lichuan; Nie, Hua 1 2022 Construction and application of exact solutions of the diffusive Lotka-Volterra system: a review and new results. Zbl 1491.35098Cherniha, Roman; Davydovych, Vasyl’ 1 2022 Synchronization in fixed/preassigned-time of delayed fully quaternion-valued memristive neural networks via non-separation method. Zbl 1492.93165Zhang, Jingsha; Ma, Xiaolin; Li, Yongke; Gan, Qintao; Wang, Changlong 1 2022 Modeling chaotic systems: dynamical equations vs machine learning approach. Zbl 1502.37086Weng, Tongfeng; Yang, Huijie; Zhang, Jie; Small, Michael 1 2022 Riemann-Hilbert approach for a higher-order Chen-Lee-Liu equation with high-order poles. Zbl 07567361Ma, Xinxin 1 2022 Galerkin operational approach for multi-dimensions fractional differential equations. Zbl 07567362Alsuyuti, M. M.; Doha, E. H.; Ezz-Eldien, S. S. 1 2022 Interactions of localized wave and dynamics analysis in generalized derivative nonlinear Schrödinger equation. Zbl 07567364Li, Xinyue; Han, Guangfu; Zhao, Qiulan 1 2022 Stability of the planar synchronous full two-body problem – the approach of periodic orbits. Zbl 1502.70018Wang, Hai-Shuo; Xin, Xiaosheng; Hou, Xiyun; Feng, Jinglang 1 2022 Consensus control of multi-agent systems with deception attacks using event-triggered adaptive cognitive control. Zbl 1497.93211Wang, Shuti; Yin, Xunhe; Li, Peng; Zhang, Yanxin; Wen, Huabin 1 2022 ...and 1019 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 26,653 Authors 275 Hayat, Tasawar 239 Băleanu, Dumitru I. 151 Al-saedi, Ahmed Eid Salem 150 Cao, Jinde 138 Zhong, Shou-Ming 106 Wazwaz, Abdul-Majid Abdul-Rahman 103 Dehghan Takht Fooladi, Mehdi 103 Machado, José António Tenreiro 102 Biswas, Anjan 87 Ahmad, Bashir 87 Kudryashov, Nikolaĭ Alekseevich 84 Abbasbandy, Saeid 82 Agarwal, Ravi P. 81 Khalique, Chaudry Masood 80 Wang, Jinrong 77 Abdeljawad, Thabet 74 Park, Juhyun (Jessie) 71 Bhrawy, Ali Hassan 66 Sakthivel, Rathinasamy 63 van Gorder, Robert Ashton 61 Nieto Roig, Juan Jose 61 Xu, Wei 60 Jiang, Daqing 58 O’Regan, Donal 58 Teng, Zhi-dong 58 Vaidyanathan, Sundarapandian 58 Zhu, Quanxin 57 Pop, Ioan 57 Vajravelu, Kuppalapalle 57 Wang, Xingyuan 55 Inc, Mustafa 55 Shah, Kamal 54 Ma, Wen-Xiu 51 Liu, Xinzhi 49 Heydari, Mohammad Hossien 49 Jafari, Sajad 49 Liao, Shijun 49 Maleknejad, Khosrow 49 Sajid, Muhammad 49 Tarasov, Vasily E. 49 Wu, Yonghong 48 Hashim, Ishak 48 Jiang, Haijun 48 Khader, Mohamed M. 48 Li, Yongkun 48 Macías-Díaz, Jorge Eduardo 47 Balasubramaniam, Pagavathigounder 47 Liu, Lishan 47 Momani, Shaher M. 47 Sun, Shurong 46 Nadeem, Sohail 45 Kim, Junseok 44 Ganji, Davood Domiri 44 Noorani, Mohd Salmi Mohd 43 Han, Zhenlai 43 Ntouyas, Sotiris K. 42 Li, Xiaodi 42 Rezapour, Shahram 41 Ordokhani, Yadollah 41 Zhou, Yong 40 Chen, Guanrong 40 Fang, Jian’an 40 Rakkiyappan, Rajan 40 Shang, Pengjian 39 Avazzadeh, Zakieh 39 Chen, Fengde 39 Cheng, Rongjun 39 Motsa, Sandile Sydney 39 Rashidi, Mohammad Mehdi 39 Tian, Shoufu 39 Zhao, Min 38 Asghar, Saleem 38 Doha, Eid H. 38 Hu, Cheng 38 Pham, Viet-Thanh 38 Razzaghi, Mohsen 37 Ge, Hongxia 37 Ouannas, Adel 37 Xu, Changjin 36 Abdo, Mohammed Salem 36 Gómez-Aguilar, José Francisco 35 Bekir, Ahmet 35 Luo, Albert C. J. 35 Salahshour, Soheil 35 Sibanda, Precious 34 Parand, Kourosh 34 Seadawy, Aly R. 34 Zhang, Fuchen 33 Alzabut, Jehad O. 33 Bruzón, Maria Santos 33 Ding, Xiaohua 33 Gandarias Núñez, Maria Luz 33 Jafari, Hossein 33 Jiang, Yaolin 33 Li, Wenxue 33 Liu, Shutang 33 Torres, Delfim Fernando Marado 33 Yıldırım, Ahmet 33 Zhang, Yufeng 33 Zhou, Wuneng ...and 26,553 more Authors all top 5 Cited in 764 Journals 1,870 Communications in Nonlinear Science and Numerical Simulation 1,316 Applied Mathematics and Computation 966 Chaos, Solitons and Fractals 915 Nonlinear Dynamics 887 Advances in Difference Equations 711 Physica A 581 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 568 Mathematical Problems in Engineering 520 Abstract and Applied Analysis 446 Computers & Mathematics with Applications 387 Journal of the Franklin Institute 377 Applied Mathematical Modelling 337 Journal of Computational and Applied Mathematics 299 Discrete Dynamics in Nature and Society 282 Mathematics and Computers in Simulation 273 Chaos 271 International Journal of Applied and Computational Mathematics 265 Computational and Applied Mathematics 259 Applied Mathematics Letters 219 Boundary Value Problems 210 Mathematical Methods in the Applied Sciences 197 Journal of Applied Mathematics and Computing 188 Journal of Applied Mathematics 182 Advances in Mathematical Physics 182 AIMS Mathematics 174 Applied Numerical Mathematics 173 International Journal of Computer Mathematics 169 International Journal of Biomathematics 167 Fractional Calculus & Applied Analysis 166 Nonlinear Analysis. Real World Applications 160 International Journal of Systems Science. Principles and Applications of Systems and Integration 155 Fractals 153 Journal of Mathematical Analysis and Applications 144 Complexity 142 Journal of Computational Physics 139 Physics Letters. A 133 Journal of Function Spaces 128 Mathematical Biosciences and Engineering 127 Discrete and Continuous Dynamical Systems. Series B 123 Physica D 114 Numerical Algorithms 113 International Journal of Nonlinear Sciences and Numerical Simulation 110 Journal of Mathematical Physics 104 Nonlinear Analysis. Modelling and Control 103 Meccanica 100 International Journal of Control 95 Nonlinear Analysis. Hybrid Systems 93 Journal of Applied Analysis and Computation 90 Neural Networks 89 Waves in Random and Complex Media 79 Engineering Analysis with Boundary Elements 78 International Journal of Numerical Methods for Heat & Fluid Flow 77 Acta Mechanica 76 Discrete and Continuous Dynamical Systems. Series S 74 Filomat 72 Computers and Fluids 72 Asian Journal of Control 71 Information Sciences 71 Mediterranean Journal of Mathematics 70 Journal of Inequalities and Applications 69 Circuits, Systems, and Signal Processing 69 Mathematical and Computer Modelling 66 Numerical Methods for Partial Differential Equations 66 Differential Equations and Dynamical Systems 66 International Journal of Differential Equations 65 Applicable Analysis 65 Computational Methods for Differential Equations 63 Computer Methods in Applied Mechanics and Engineering 63 AMM. Applied Mathematics and Mechanics. (English Edition) 61 Applied Mathematics and Mechanics. (English Edition) 60 Soft Computing 58 Qualitative Theory of Dynamical Systems 57 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 57 Journal of Nonlinear Science and Applications 55 International Journal for Numerical Methods in Fluids 55 Journal of Differential Equations 55 Journal of Scientific Computing 55 Journal of the Egyptian Mathematical Society 54 Journal of Vibration and Control 54 Journal of Mathematics 52 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 52 Journal of Applied Nonlinear Dynamics 51 Journal of Difference Equations and Applications 51 Mathematical Sciences 50 Automatica 50 Journal of Theoretical Biology 49 Journal of Mathematical Chemistry 48 ZAMP. Zeitschrift für angewandte Mathematik und Physik 48 Fuzzy Sets and Systems 48 European Journal of Mechanics. B. Fluids 47 S\(\vec{\text{e}}\)MA Journal 46 Acta Applicandae Mathematicae 46 Open Mathematics 45 International Journal of Modern Physics B 43 Computational Mathematics and Mathematical Physics 42 International Journal of Heat and Mass Transfer 42 International Journal of Theoretical Physics 42 Journal of Optimization Theory and Applications 41 Journal of Fluid Mechanics 41 Stochastic Analysis and Applications ...and 664 more Journals all top 5 Cited in 61 Fields 7,924 Ordinary differential equations (34-XX) 5,873 Partial differential equations (35-XX) 4,406 Numerical analysis (65-XX) 3,778 Systems theory; control (93-XX) 3,698 Biology and other natural sciences (92-XX) 3,114 Dynamical systems and ergodic theory (37-XX) 2,459 Fluid mechanics (76-XX) 2,024 Real functions (26-XX) 1,160 Probability theory and stochastic processes (60-XX) 1,029 Operator theory (47-XX) 1,015 Statistical mechanics, structure of matter (82-XX) 923 Integral equations (45-XX) 923 Mechanics of deformable solids (74-XX) 808 Mechanics of particles and systems (70-XX) 666 Information and communication theory, circuits (94-XX) 626 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 618 Classical thermodynamics, heat transfer (80-XX) 566 Operations research, mathematical programming (90-XX) 556 Computer science (68-XX) 533 Calculus of variations and optimal control; optimization (49-XX) 432 Difference and functional equations (39-XX) 349 Optics, electromagnetic theory (78-XX) 312 Special functions (33-XX) 311 Quantum theory (81-XX) 257 Statistics (62-XX) 176 Approximations and expansions (41-XX) 145 Global analysis, analysis on manifolds (58-XX) 138 Integral transforms, operational calculus (44-XX) 137 Harmonic analysis on Euclidean spaces (42-XX) 135 Combinatorics (05-XX) 109 Geophysics (86-XX) 104 Measure and integration (28-XX) 103 Functional analysis (46-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 66 General topology (54-XX) 63 Relativity and gravitational theory (83-XX) 51 Topological groups, Lie groups (22-XX) 44 Functions of a complex variable (30-XX) 42 Differential geometry (53-XX) 41 Number theory (11-XX) 39 Nonassociative rings and algebras (17-XX) 33 Astronomy and astrophysics (85-XX) 26 Sequences, series, summability (40-XX) 25 Mathematical logic and foundations (03-XX) 21 History and biography (01-XX) 15 General and overarching topics; collections (00-XX) 13 Abstract harmonic analysis (43-XX) 12 Potential theory (31-XX) 10 Algebraic geometry (14-XX) 8 Mathematics education (97-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Commutative algebra (13-XX) 6 Group theory and generalizations (20-XX) 6 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 4 Convex and discrete geometry (52-XX) 3 Field theory and polynomials (12-XX) 3 Category theory; homological algebra (18-XX) 2 Associative rings and algebras (16-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Geometry (51-XX) Citations by Year