Chaos, Solitons and FractalsApplications in Science and Engineering Short Title: Chaos Solitons Fractals Publisher: Elsevier (Pergamon), Oxford ISSN: 0960-0779 Online: https://www.sciencedirect.com/journal/chaos-solitons-and-fractals/issues Comments: Journal; No longer indexed Documents Indexed: 9,319 Publications (1991–2022) References Indexed: 9,228 Publications with 266,004 References. all top 5 Latest Issues 165, Part 2 (2022) 165, Part 1 (2022) 164 (2022) 163 (2022) 162 (2022) 161 (2022) 160 (2022) 159 (2022) 158 (2022) 157 (2022) 156 (2022) 155 (2022) 154 (2022) 153, Part 2 (2021) 153, Part 1 (2021) 152 (2021) 151 (2021) 150 (2021) 149 (2021) 148 (2021) 147 (2021) 146 (2021) 145 (2021) 144 (2021) 143 (2021) 142 (2021) 141 (2020) 140 (2020) 139 (2020) 138 (2020) 137 (2020) 136 (2020) 135 (2020) 134 (2020) 133 (2020) 132 (2020) 131 (2020) 130 (2020) 129 (2019) 128 (2019) 127 (2019) 126 (2019) 125 (2019) 124 (2019) 123 (2019) 122 (2019) 121 (2019) 120 (2019) 119 (2019) 118 (2019) 117 (2018) 116 (2018) 115 (2018) 114 (2018) 113 (2018) 112 (2018) 111 (2018) 110 (2018) 109 (2018) 108 (2018) 107 (2018) 106 (2018) 105 (2017) 104 (2017) 103 (2017) 102 (2017) 101 (2017) 100 (2017) 99 (2017) 98 (2017) 97 (2017) 96 (2017) 95 (2017) 94 (2017) 93 (2016) 92 (2016) 91 (2016) 90 (2016) 89 (2016) 88 (2016) 87 (2016) 86 (2016) 85 (2016) 84 (2016) 83 (2016) 82 (2016) 81, Part B (2015) 81, Part A (2015) 80 (2015) 79 (2015) 78 (2015) 77 (2015) 76 (2015) 75 (2015) 74 (2015) 73 (2015) 72 (2015) 71 (2015) 70 (2015) 69 (2014) ...and 306 more Volumes all top 5 Authors 175 El Naschie, Mohamed Saladin 65 Chen, Guanrong 51 Zhang, Hongqing 49 Xu, Wei 44 Zhang, Yufeng 43 Liao, Xiaofeng 40 Chen, Lansun 37 Han, Maoan 36 Kapitaniak, Tomasz 36 Park, Juhyun (Jessie) 34 Băleanu, Dumitru I. 34 Gómez-Aguilar, José Francisco 34 Sidharth, Burra Gautam 32 Antoniou, Ioannis E. 32 Tian, Lixin 31 Cao, Jinde 31 Kofané, Timoléon Crépin 31 Yang, Xiaosong 30 Atangana, Abdon 29 Yan, Zhenya 28 Gardini, Laura 26 Owolabi, Kolade Matthew 26 Wang, Jiang 25 Chen, Dengyuan 25 Grigolini, Paolo 24 Roy Chowdhury, Asesh 24 Seadawy, Aly R. 22 Biswas, Anjan 22 Elishakoff, Isaac 22 Ge, Zhengming 22 Llibre, Jaume 22 Xia, Tie-Cheng 21 Caldas, Iberê L. 21 Jing, Zhujun 21 Yan, Jun-Juh 20 Chen, Yong 20 Wazwaz, Abdul-Majid Abdul-Rahman 19 Abdeljawad, Thabet 19 Argyris, John Hadji 19 Cui, Baotong 19 Holden, Arun V. 19 Kurths, Jürgen 19 Perc, Matjaž 19 Teng, Zhi-dong 18 Inc, Mustafa 18 Kumar Upadhyay, Ranjit 18 Malomed, Boris A. 18 Porsezian, Kuppusamy 18 Puu, Tönu 18 Sun, Yeong-Jeu 18 Tanimoto, Jun 18 Tian, Bo 18 Wadati, Miki 18 Wiercigroch, Marian 18 Zhong, Shou-Ming 17 Al-saedi, Ahmed Eid Salem 17 Hayat, Tasawar 17 Jafari, Sajad 17 Lu, Junguo 17 Luo, Albert C. J. 17 Saniga, Metod 16 Bashkirtseva, Irina Adol’fovna 16 Dai, Meifeng 16 El-Gohary, Awad I. 16 Elwakil, S. A. 16 Rossler, Otto E. 16 Ryashko, Lev Borisovich 16 Wang, Fengyan 16 Zak, Michail A. 16 Zhang, Shuwen 16 Zhou, Tianshou 15 Agiza, Hamdy N. 15 Andreadis, Ioannis 15 Bekiros, Stelios D. 15 Dai, Chaoqing 15 Duan, Wenshan 15 Hu, Cheng 15 Kudryashov, Nikolaĭ Alekseevich 15 Lien, Chang-Hua 15 Lu, Junan 15 Ramos, Juan I. 15 Salarieh, Hassan 15 Tam, Hon-Wah 15 Wang, Qi 15 Wei, Junjie 15 Yu, Pei 15 Zhang, Suochun 14 Adamatzky, Andrew I. 14 Agop, Maricel 14 Akgül, Ali 14 Chen, Qingjiang 14 Fan, Engui 14 He, Ji-Huan 14 Jiang, Haijun 14 Jumarie, Guy M. 14 Kengne, Jacques 14 Li, Chuandong 14 Liao, Tehlu 14 Sanjuán, Miguel A. F. 14 Shah, Kamal ...and 12,021 more Authors all top 5 Fields 3,340 Dynamical systems and ergodic theory (37-XX) 2,225 Ordinary differential equations (34-XX) 1,656 Partial differential equations (35-XX) 1,569 Biology and other natural sciences (92-XX) 1,066 Systems theory; control (93-XX) 745 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 617 Quantum theory (81-XX) 535 Numerical analysis (65-XX) 434 Information and communication theory, circuits (94-XX) 426 Probability theory and stochastic processes (60-XX) 407 Mechanics of particles and systems (70-XX) 404 Statistical mechanics, structure of matter (82-XX) 391 Real functions (26-XX) 372 Fluid mechanics (76-XX) 357 Measure and integration (28-XX) 266 Relativity and gravitational theory (83-XX) 234 Computer science (68-XX) 229 Mechanics of deformable solids (74-XX) 211 Operations research, mathematical programming (90-XX) 198 Optics, electromagnetic theory (78-XX) 190 Difference and functional equations (39-XX) 187 General topology (54-XX) 168 Statistics (62-XX) 114 Operator theory (47-XX) 107 Number theory (11-XX) 96 Geophysics (86-XX) 89 Combinatorics (05-XX) 77 Calculus of variations and optimal control; optimization (49-XX) 76 Differential geometry (53-XX) 66 Integral equations (45-XX) 54 General and overarching topics; collections (00-XX) 54 Global analysis, analysis on manifolds (58-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 48 Classical thermodynamics, heat transfer (80-XX) 46 Manifolds and cell complexes (57-XX) 41 Nonassociative rings and algebras (17-XX) 39 Functional analysis (46-XX) 35 Special functions (33-XX) 35 Approximations and expansions (41-XX) 31 Mathematical logic and foundations (03-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 24 Astronomy and astrophysics (85-XX) 22 Functions of a complex variable (30-XX) 20 Algebraic geometry (14-XX) 15 History and biography (01-XX) 15 Convex and discrete geometry (52-XX) 13 Geometry (51-XX) 12 Sequences, series, summability (40-XX) 12 Integral transforms, operational calculus (44-XX) 11 Group theory and generalizations (20-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Potential theory (31-XX) 3 General algebraic systems (08-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Algebraic topology (55-XX) 2 Category theory; homological algebra (18-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 8,047 Publications have been cited 98,893 times in 45,975 Documents Cited by ▼ Year ▼ Exp-function method for nonlinear wave equations. Zbl 1141.35448 He, Ji-Huan; Wu, Xu-Hong 650 2006 Application of homotopy perturbation method to nonlinear wave equations. Zbl 1072.35502 He, Ji-Huan 489 2005 Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Zbl 1080.26505 Mainardi, Francesco 399 1996 Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order. Zbl 1360.34150 Atangana, Abdon; Koca, Ilknur 359 2016 Construction of solitary solution and compacton-like solution by variational iteration method. Zbl 1147.35338 He, Ji-Huan; Wu, Xu-Hong 324 2006 A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative. Zbl 1483.92041 Baleanu, Dumitru; Jajarmi, Amin; Mohammadi, Hakimeh; Rezapour, Shahram 310 2020 A review of \(E\) infinity theory and the mass spectrum of high energy particle physics. Zbl 1071.81501 El Naschie, M. S. 259 2004 Simplest equation method to look for exact solutions of nonlinear differential equations. Zbl 1069.35018 Kudryashov, Nikolai A. 257 2005 Integrable theory of the perturbation equations. Zbl 1080.37578 Ma, W. X.; Fuchssteiner, B. 251 1996 Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations. Zbl 0997.35083 Wazwaz, A. M. 248 2002 Variational principles for some nonlinear partial differential equations with variable coefficients. Zbl 1135.35303 He, Ji-Huan 247 2004 Complex dynamics of Holling type II Lotka–Volterra predator–prey system with impulsive perturbations on the predator. Zbl 1085.34529 Liu, Xianning; Chen, Lansun 245 2003 Some probability densities and fundamental solutions of fractional evolution equations. Zbl 1005.34051 El-Borai, Mahmoud M. 235 2002 Application of He’s variational iteration method to Helmholtz equation. Zbl 1086.65113 Momani, Shaher; Abuasad, Salah 228 2006 Chaos in Chen’s system with a fractional order. Zbl 1060.37026 Li, Changpin; Peng, Guojun 216 2004 New periodic solutions for nonlinear evolution equations using Exp-function method. Zbl 1152.35441 He, Ji-Huan; Abdou, M. A. 209 2007 A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation. Zbl 1198.35231 Ma, Wen-Xiu; Lee, Jyh-Hao 206 2009 Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311 Odibat, Zaid; Momani, Shaher 205 2008 Complex dynamic behaviors of a discrete-time predator-prey system. Zbl 1130.92056 Liu, Xiaoli; Xiao, Dongmei 201 2007 Chaos in the fractional order Chen system and its control. Zbl 1069.37025 Li, Chunguang; Chen, Guanrong 198 2004 Simple chaotic flows with a line equilibrium. Zbl 1355.37056 Jafari, Sajad; Sprott, J. C. 194 2013 A new chaotic attractor. Zbl 1060.37027 Liu, Chongxin; Liu, Tao; Liu, Ling; Liu, Kai 192 2004 An adaptive chaos synchronization scheme applied to secure communication. Zbl 1048.93508 Feki, Moez 186 2003 Solution of fractional differential equations by using differential transform method. Zbl 1152.34306 Arikoglu, Aytac; Ozkol, Ibrahim 186 2007 A symmetric image encryption scheme based on 3D chaotic cat maps. Zbl 1049.94009 Chen, Guanrong; Mao, Yaobin; Chui, Charles K. 185 2004 Adaptive synchronization of chaotic systems and its application to secure communications. Zbl 0967.93059 Liao, Teh-Lu; Tsai, Shin-Hwa 183 2000 Chaos in duopoly pricing. Zbl 0754.90015 Puu, T. 182 1991 Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. Zbl 1374.28002 Atangana, Abdon 182 2017 On new solutions of fuzzy differential equations. Zbl 1142.34309 Chalco-Cano, Y.; Román-Flores, H. 178 2008 New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations. Zbl 1028.35131 Wazwaz, A. M. 174 2002 Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450 Momani, Shaher; Odibat, Zaid 173 2007 On the uncertainty of Cantorian geometry and the two-slit experiment. Zbl 0935.81009 El Naschie, M. S. 165 1998 Synchronization of an uncertain unified chaotic system via adaptive control. Zbl 1005.93020 Chen, Shihua; Lü, Jinhu 162 2002 Chaos in fractional-order autonomous nonlinear systems. Zbl 1033.37019 Ahmad, Wajdi M.; Sprott, J. C. 158 2003 Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems. Zbl 0967.37030 Di Bernardo, M.; Feigin, M. I.; Hogan, S. J.; Homer, M. E. 153 1999 Limit cycle and bifurcation of nonlinear problems. Zbl 1093.34520 He, Ji-Huan 153 2005 The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations. Zbl 1138.35385 Abdou, M. A. 151 2007 Intuitionistic fuzzy metric spaces. Zbl 1060.54010 Park, Jin Han 147 2004 On the intuitionistic fuzzy topological spaces. Zbl 1083.54514 Saadati, Reza; Park, Jin Han 145 2006 On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative. Zbl 1442.34016 Jarad, Fahd; Abdeljawad, Thabet; Hammouch, Zakia 145 2018 Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010 Atangana, Abdon; Gómez-Aguilar, J. F. 144 2018 Synchronization of two Lorenz systems using active control. Zbl 1079.37515 Bai, Er-Wei; Lonngren, Karl E. 136 1997 Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation. Zbl 1092.37054 Wang, Mingliang; Li, Xiangzheng 135 2005 Time-space fabric underlying anomalous diffusion. Zbl 1098.60078 Chen, W. 135 2006 A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative. Zbl 1483.92060 Ghanbari, Behzad; Kumar, Sunil; Kumar, Ranbir 134 2020 Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics. Zbl 1030.35136 Fan, Engui 129 2003 New exact travelling wave solutions using modified extended tanh-function method. Zbl 1139.35388 El-Wakil, S. A.; Abdou, M. A. 129 2007 A note on the fractional-order Chen system. Zbl 1101.37307 Lu, Jun Guo; Chen, Guanrong 127 2006 Chaos synchronization between linearly coupled chaotic systems. Zbl 1067.37043 Lü, Jinhu; Zhou, Tianshou; Zhang, Suochun 126 2002 Adaptive synchronization of uncertain chaotic systems via backstepping design. Zbl 1015.37052 Wang, C.; Ge, S. S. 125 2001 Sequential synchronization of two Lorenz systems using active control. Zbl 0985.37106 Bai, Er-Wei; Lonngren, Karl E. 123 2000 A mathematical model for COVID-19 transmission by using the Caputo fractional derivative. Zbl 1495.92104 Tuan, Nguyen Huy; Mohammadi, Hakimeh; Rezapour, Shahram 121 2020 Homotopy-perturbation method for pure nonlinear differential equation. Zbl 1142.65418 Cveticanin, L. 120 2006 Modeling attractors of chaotic dynamical systems with fractal-fractional operators. Zbl 1448.65268 Atangana, Abdon; Qureshi, Sania 119 2019 Controlling and synchronizing chaotic Genesio system via nonlinear feedback control. Zbl 1044.93026 Chen, Maoyin; Han, Zhengzhi 117 2003 Global robust stability of delayed recurrent neural networks. Zbl 1075.68070 Cao, Jinde; Huang, De-Shuang; Qu, Yuzhong 116 2005 Study of a Leslie-Gower-type tritrophic population model. Zbl 1031.92027 Aziz-Alaoui, M. A. 116 2002 Simple and complex adjustment dynamics in Cournot duopoly models. Zbl 1080.91541 Kopel, Michael 115 1996 Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Zbl 1489.92171 Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Torres, Delfim F. M. 115 2020 Bifurcation analysis for Chen’s system with delayed feedback and its application to control of chaos. Zbl 1112.37303 Song, Yongli; Wei, Junjie 114 2004 The one-dimensional heat equation subject to a boundary integral specification. Zbl 1139.35352 Dehghan, Mehdi 114 2007 Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method. Zbl 1022.35051 Wazwaz, A. M. 112 2001 Variational approach for nonlinear oscillators. Zbl 1152.34327 He, Ji-Huan 111 2007 Beyond Adomian polynomials: He polynomials. Zbl 1197.65061 Ghorbani, Asghar 110 2009 Global exponential stability of BAM neural networks with delays and impulses. Zbl 1099.68085 Li, Yongkun 109 2005 A numerical simulation and explicit solutions of KdV-Burgers’ and Lax’s seventh-order KdV equations. Zbl 1099.35521 Soliman, A. A. 109 2006 Hidden extreme multistability in memristive hyperchaotic system. Zbl 1373.34069 Bao, B. C.; Bao, H.; Wang, N.; Chen, M.; Xu, Q. 108 2017 On the Fibonacci \(k\)-numbers. Zbl 1158.11306 Falcón, Sergio; Plaza, Ángel 108 2007 Chaotic behaviour of fractional predator-prey dynamical system. Zbl 1489.92119 Kumar, Sunil; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem 108 2020 Bifurcations of a predator-prey system of Holling and Leslie types. Zbl 1156.34029 Li, Yilong; Xiao, Dongmei 106 2007 Bifurcation and chaos in discrete-time predator-prey system. Zbl 1085.92045 Jing, Zhujun; Yang, Jianping 106 2006 Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations. Zbl 1027.35115 Wazwaz, A. M. 105 2002 Chaos synchronization between two different chaotic systems using active control. Zbl 1091.93520 Yassen, M. T. 104 2005 The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations. Zbl 1070.35076 Wazwaz, Abdul-Majid 104 2005 Complex dynamics of a Holling type II prey-predator system with state feedback control. Zbl 1203.34071 Jiang, Guirong; Lu, Qishao; Qian, Linning 104 2007 Chaotic dynamics and synchronization of fractional-order Arneodo’s systems. Zbl 1074.65146 Lu, Jun Guo 103 2005 Chua’s circuit model with Atangana-Baleanu derivative with fractional order. Zbl 1360.34160 Alkahtani, Badr Saad T. 102 2016 On redefining a snap-back repeller. Zbl 1077.37027 Marotto, F. R. 101 2005 Controllability of impulsive functional differential systems with infinite delay in Banach spaces. Zbl 1136.93006 Chang, Yong-Kui 101 2007 Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions. Zbl 1134.35066 Lu, Jun Guo 101 2008 Periodic and solitary-wave solutions of the Degasperis-Procesi equation. Zbl 1049.35162 Vakhnenko, V. O.; Parkes, E. J. 100 2004 Design of adaptive sliding mode controller for chaos synchronization with uncertainties. Zbl 1060.93536 Yau, Her-Terng 100 2004 Solution of fractional integro-differential equations by using fractional differential transform method. Zbl 1197.45001 Arikoglu, Aytac; Ozkol, Ibrahim 99 2009 Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method. Zbl 1069.37060 Yan, Zhenya 98 2003 A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation. Zbl 1030.37047 Vakhnenko, V. O.; Parkes, E. J.; Morrison, A. J. 98 2003 Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel. Zbl 1448.34046 Khan, Aziz; Khan, Hasib; Gómez-Aguilar, J. F.; Abdeljawad, Thabet 97 2019 New exact travelling wave solutions for the Kawahara and modified Kawahara equations. Zbl 1068.35141 Sirendaoreji 96 2004 Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres. Zbl 1035.78006 Yan, Zhenya 95 2003 Modified projective synchronization of chaotic system. Zbl 1134.37331 Li, Guo-Hui 95 2007 Synchronization criteria of Lur’e systems with time-delay feedback control. Zbl 1086.93050 Cao, Jinde; Li, H. X.; Ho, Daniel W. C. 93 2005 A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach. Zbl 1072.92004 Cao, Jinde; Ho, Daniel W. C. 91 2005 On the generalized Lorenz canonical form. Zbl 1100.37016 Čelikovský, Sergej; Chen, Guanrong 91 2005 Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model. Zbl 1360.35094 Algahtani, Obaid Jefain Julaighim 91 2016 Similarities in a fifth-order evolution equation with and with no singular kernel. Zbl 1489.35297 Doungmo Goufo, Emile F.; Kumar, Sunil; Mugisha, S. B. 90 2020 On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations. Zbl 1069.35080 Zayed, E. M. E.; Zedan, H. A.; Gepreel, K. A. 89 2004 Lag synchronization of hyperchaos with application to secure communications. Zbl 1068.94004 Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo 89 2005 Global chaos synchronization of new chaotic systems via nonlinear control. Zbl 1102.37302 Chen, Hsien-Keng 88 2005 On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions. Zbl 1355.34012 Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed 88 2016 A novel method for a fractional derivative with non-local and non-singular kernel. Zbl 1415.34007 Akgül, Ali 88 2018 A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells. Zbl 1404.92117 Jajarmi, Amin; Baleanu, Dumitru 88 2018 Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation. Zbl 1506.35193 Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Li, Liu-Qing 32 2022 Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber. Zbl 1506.78011 Yang, Dan-Yu; Tian, Bo; Tian, He-Yuan; Wei, Cheng-Cheng; Shan, Wen-Rui; Jiang, Yan 29 2022 Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions. Zbl 1498.35437 Shen, Yuan; Tian, Bo; Zhou, Tian-Yu; Gao, Xiao-Tian 28 2022 Ulam-Hyers stability of Caputo type fuzzy fractional differential equations with time-delays. Zbl 1506.34102 Wang, Xue; Luo, Danfeng; Zhu, Quanxin 24 2022 Computational study on the dynamics of fractional order differential equations with applications. Zbl 1498.34042 Shah, Kamal; Arfan, Muhammad; Ullah, Aman; Al-Mdallal, Qasem; Ansari, Khursheed J.; Abdeljawad, Thabet 22 2022 Some results on finite-time stability of stochastic fractional-order delay differential equations. Zbl 1505.93225 Luo, Danfeng; Tian, Mengquan; Zhu, Quanxin 22 2022 A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\). Zbl 1498.34044 Shukla, Anurag; Vijayakumar, V.; Nisar, Kottakkaran Sooppy 21 2022 Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method. Zbl 1498.35162 Zhang, Run-Fa; Li, Ming-Chu; Gan, Jian-Yuan; Li, Qing; Lan, Zhong-Zhou 21 2022 \(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium. Zbl 1508.35114 Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui 20 2022 Dynamical behaviors of a stochastic HTLV-I infection model with general infection form and Ornstein-Uhlenbeck process. Zbl 1508.92294 Shi, Zhenfeng; Jiang, Daqing 19 2022 A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay. Zbl 1498.34168 Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy; Shukla, Anurag 18 2022 On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings. Zbl 1506.26004 Du, Tingsong; Zhou, Taichun 17 2022 Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions. Zbl 1508.35159 Shen, Yuan; Tian, Bo; Zhou, Tian-Yu; Gao, Xiao-Tian 16 2022 New results on T-S fuzzy sampled-data stabilization for switched chaotic systems with its applications. Zbl 1508.93191 Vadivel, R.; Sabarathinam, S.; Wu, Yongbao; Chaisena, Kantapon; Gunasekaran, Nallappan 16 2022 A new fractional-order chaos system of Hopfield neural network and its application in image encryption. Zbl 1498.94018 Xu, Shaochuan; Wang, Xingyuan; Ye, Xiaolin 15 2022 Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics. Zbl 1504.35320 Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui 15 2022 On the modified Gardner type equation and its time fractional form. Zbl 1498.35597 Wang, Gangwei; Wazwaz, Abdul-Majid 14 2022 Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons. Zbl 1506.35159 Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui 13 2022 Stability of multi-links complex-valued impulsive stochastic systems with Markovian switching and multiple delays. Zbl 1508.93329 Yang, Ni; Gao, Ruiyi; Su, Huan 13 2022 Partial-approximate controllability of semi-linear systems involving two Riemann-Liouville fractional derivatives. Zbl 1498.93045 Haq, Abdul 13 2022 Effects of bounded noise and time delay on signal transmission in excitable neural networks. Zbl 1498.92046 Yu, Dong; Wang, Guowei; Ding, Qianming; Li, Tianyu; Jia, Ya 13 2022 Generalized enriched cyclic contractions with application to generalized iterated function system. Zbl 1506.47086 Abbas, Mujahid; Anjum, Rizwan; Iqbal, Hira 13 2022 Diffusion of resources and their impact on epidemic spreading in multilayer networks with simplicial complexes. Zbl 1508.92298 Sun, Qingyi; Wang, Zhishuang; Zhao, Dawei; Xia, Chengyi; Perc, Matjaž 12 2022 Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain. Zbl 1504.82063 Abbagari, Souleymanou; Houwe, Alphonse; Akinyemi, Lanre; Saliou, Youssoufa; Bouetou, Thomas Bouetou 12 2022 Existence results for Caputo fractional mixed Volterra-Fredholm-type integrodifferential inclusions of order \(r\in (1,2)\) with sectorial operators. Zbl 1505.34096 Mohan Raja, M.; Vijayakumar, V. 12 2022 Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems. Zbl 1498.90248 Chaudhary, Naveed Ishtiaq; Raja, Muhammad Asif Zahoor; Khan, Zeshan Aslam; Mehmood, Ammara; Shah, Syed Muslim 11 2022 On fractal-fractional Covid-19 mathematical model. Zbl 1498.92226 Khan, Hasib; Ahmad, Farooq; Tunç, Osman; Idrees, Muhammad 11 2022 Novel stability results of multivariable fractional-order system with time delay. Zbl 1498.34218 Zhang, Zhe; Wang, Yaonan; Zhang, Jing; Ai, Zhaoyang; Liu, Feng 11 2022 Multidimensional dissipative solitons and solitary vortices. Zbl 1507.35260 Malomed, B. A. 11 2022 A stochastic SICA model for HIV/AIDS transmission. Zbl 1507.92119 Tan, Yiping; Cai, Yongli; Sun, Xiaodan; Wang, Kai; Yao, Ruoxia; Wang, Weiming; Peng, Zhihang 10 2022 A discussion concerning to partial-approximate controllability of Hilfer fractional system with nonlocal conditions via approximating method. Zbl 1498.34170 Kavitha, K.; Vijayakumar, V. 10 2022 New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies. Zbl 1508.35205 Yan, Zhenya 10 2022 New finite-time passivity criteria for delayed fractional-order neural networks based on Lyapunov function approach. Zbl 1505.92013 Shafiya, M.; Nagamani, G. 10 2022 Complex dynamics of Kopel model with nonsymmetric response between oligopolists. Zbl 1506.91094 Li, Bo; Liang, Houjun; Shi, Lian; He, Qizhi 10 2022 Fixed/predefined-time synchronization of fuzzy neural networks with stochastic perturbations. Zbl 1498.34143 Abudusaimaiti, Mairemunisa; Abdurahman, Abdujelil; Jiang, Haijun; Hu, Cheng 10 2022 Some results on the study of Caputo-Hadamard fractional stochastic differential equations. Zbl 1498.60198 Ben Makhlouf, Abdellatif; Mchiri, Lassaad 10 2022 Multistability, chaos and mean population density in a discrete-time predator-prey system. Zbl 1506.92077 Rajni; Ghosh, Bapan 9 2022 Existence of Urysohn and Atangana-Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators. Zbl 1508.45002 Amiri, Pari; Samei, Mohammad Esmael 9 2022 Design of multi-wing chaotic systems with higher largest Lyapunov exponent. Zbl 1498.94109 Sahoo, Shilalipi; Roy, Binoy Krishna 9 2022 Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology. Zbl 1504.35611 Alqhtani, Manal; Owolabi, Kolade M.; Saad, Khaled M.; Pindza, Edson 9 2022 Ergodic stationary distribution of stochastic epidemic model for HBV with double saturated incidence rates and vaccination. Zbl 1504.92136 Hussain, Ghulam; Khan, Amir; Zahri, Mostafa; Zaman, Gul 9 2022 Perturbation of chirped localized waves in a dual-power law nonlinear medium. Zbl 1504.74047 Zhou, Qin; Triki, Houria; Xu, Jiakun; Zeng, Zhongliang; Liu, Wenjun; Biswas, Anjan 9 2022 Bifurcation and traveling wave solution to fractional Biswas-Arshed equation with the beta time derivative. Zbl 1504.35623 Li, Zhao 9 2022 Interaction properties between rogue wave and breathers to the Manakov system arising from stationary self-focusing electromagnetic systems. Zbl 1506.35189 Li, Bang-Qing; Ma, Yu-Lan 9 2022 Lipschitz stability analysis of fractional-order impulsive delayed reaction-diffusion neural network models. Zbl 1506.35273 Stamova, Ivanka; Stamov, Trayan; Stamov, Gani 8 2022 On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations. Zbl 1507.26011 Kucche, Kishor D.; Mali, Ashwini D.; Fernandez, Arran; Fahad, Hafiz Muhammad 8 2022 Predator-taxis creates spatial pattern of a predator-prey model. Zbl 1504.92096 Chen, Mengxin; Zheng, Qianqian 8 2022 Mathematical analysis of the Cauchy type dynamical system under piecewise equations with Caputo fractional derivative. Zbl 1504.34014 Shah, Kamal; Abdeljawad, Thabet; Ali, Arshad 8 2022 Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schrödinger-Hirota equation. Zbl 1504.35498 Tang, Lu 8 2022 Rényi entropy and divergence for VARFIMA processes based on characteristic and impulse response functions. Zbl 1504.94078 Contreras-Reyes, Javier E. 8 2022 A study on eco-epidemiological model with fractional operators. Zbl 1506.92094 Kumar, Ajay; Kumar, Sunil 8 2022 Finite-time and fixed-time synchronization analysis of shunting inhibitory memristive neural networks with time-varying delays. Zbl 1506.68104 Kashkynbayev, Ardak; Issakhanov, Alfarabi; Otkel, Madina; Kurths, Jürgen 8 2022 Quadratic fractional solitons. Zbl 1498.35602 Zeng, Liangwei; Zhu, Yongle; Malomed, Boris A.; Mihalache, Dumitru; Wang, Qing; Long, Hu; Cai, Yi; Lu, Xiaowei; Li, Jingzhen 8 2022 Modeling the effect of the vaccination campaign on the COVID-19 pandemic. Zbl 1498.92193 Angeli, Mattia; Neofotistos, Georgios; Mattheakis, Marios; Kaxiras, Efthimios 8 2022 Adaptation on power series method with conformable operator for solving fractional order systems of nonlinear partial differential equations. Zbl 1498.35583 Liaqat, Muhammad Imran; Khan, Adnan; Akgül, Ali 7 2022 Untangling role of cooperative hunting among predators and herd behavior in prey with a dynamical systems approach. Zbl 1506.92078 Shivam; Singh, Kuldeep; Kumar, Mukesh; Dubey, Ramu; Singh, Teekam 7 2022 High-order compact finite difference schemes for the time-fractional Black-Scholes model governing European options. Zbl 1506.91181 Abdi, N.; Aminikhah, H.; Refahi Sheikhani, A. H. 7 2022 Observation of resonant solitons and associated integrable properties for nonlinear waves. Zbl 1507.35224 Chen, Si-Jia; Lü, Xing 7 2022 Finite-time synchronization for fractional-order quaternion-valued coupled neural networks with saturated impulse. Zbl 1508.93134 Mo, Wenjun; Bao, Haibo 7 2022 Exploration of bifurcation for a fractional-order BAM neural network with \(n+2\) neurons and mixed time delays. Zbl 1505.37103 Wang, Yangling; Cao, Jinde; Huang, Chengdai 7 2022 On stability and feedback control of discrete fractional order singular systems with multiple time-varying delays. Zbl 1498.93600 Liu, Xiang; Wang, Peiguang; Anderson, Douglas R. 7 2022 New insights on fuzzy sampled-data stabilization of delayed nonlinear systems. Zbl 1498.93402 Saravanakumar, Ramasamy; Datta, Rupak; Cao, Yang 7 2022 The impact of plankton body size on phytoplankton-zooplankton dynamics in the absence and presence of stochastic environmental fluctuation. Zbl 1498.92305 Liao, Tiancai 7 2022 Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation. Zbl 1498.35600 Yan, Xiong-bin; Zhang, Zheng-qiang; Wei, Ting 6 2022 Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag-Leffler kernel by finite difference and local discontinuous Galerkin methods. Zbl 1498.65157 Fouladi, Somayeh; Dahaghin, Mohammad Shafi 6 2022 Design of intelligent computing networks for nonlinear chaotic fractional Rossler system. Zbl 1498.34167 Bukhari, Ayaz Hussain; Raja, Muhammad Asif Zahoor; Rafiq, Naila; Shoaib, Muhammad; Kiani, Adiqa Kausar; Shu, Chi-Min 6 2022 Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator. Zbl 1507.37118 Zhong, Ming; Yan, Zhenya 6 2022 The efficient fractional order based approach to analyze chemical reaction associated with pattern formation. Zbl 1508.35197 Veeresha, P. 6 2022 Interpolative operators: fractal to multivalued fractal. Zbl 1508.28009 Prithvi, B. V.; Katiyar, S. K. 6 2022 Stochastic admissibility and \(H_\infty\) output feedback control for singular Markov jump systems under dynamic measurement output event-triggered strategy. Zbl 1508.93324 Sun, Meng; Zhuang, Guangming; Xia, Jianwei; Wang, Yanqian; Chen, Guoliang 6 2022 Thinking about the oceanic shallow water via a generalized Whitham-Broer-Kaup-Boussinesq-Kupershmidt system. Zbl 1508.76019 Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui 6 2022 Complex dynamics of a Kaldor model of business cycle with discrete-time. Zbl 1498.37138 Eskandari, Z.; Avazzadeh, Z.; Khoshsiar Ghaziani, R. 6 2022 Global dynamics of a Filippov predator-prey model with two thresholds for integrated pest management. Zbl 1498.92170 Li, Wenxiu; Chen, Yuming; Huang, Lihong; Wang, Jiafu 6 2022 Solution of a nonlocal problem for hyperbolic equations with piecewise constant argument of generalized type. Zbl 1508.35023 Assanova, Anar T.; Uteshova, Roza 6 2022 Collisions of kinks in deformed \(\varphi^4\) and \(\varphi^6\) models. Zbl 1508.81933 Moradi Marjaneh, Aliakbar; Simas, Fabiano C.; Bazeia, D. 6 2022 Superstatistical approach of the anomalous exponent for scaled Brownian motion. Zbl 1508.60100 dos Santos, M. A. F.; Menon, L.; Cius, D. 6 2022 Multiple lump, generalized breathers, Akhmediev breather, manifold periodic and rogue wave solutions for generalized FitzHugh-Nagumo equation: applications in nuclear reactor theory. Zbl 1504.35433 Seadawy, Aly R.; Rizvi, Syed T. R.; Ahmed, Sarfaraz 6 2022 On a study for the neutral Caputo fractional multi-delayed differential equations with noncommutative coefficient matrices. Zbl 1504.34229 Aydin, Mustafa; Mahmudov, Nazim I. 6 2022 Hamilton energy, complex dynamical analysis and information patterns of a new memristive FitzHugh-Nagumo neural network. Zbl 1504.92013 Njitacke, Zeric Tabekoueng; Takembo, Clovis Ntahkie; Awrejcewicz, Jan; Fouda, Henri Paul Ekobena; Kengne, Jacques 6 2022 Spatiotemporal (target) patterns in sub-diffusive predator-prey system with the Caputo operator. Zbl 1504.92093 Alqhtani, Manal; Owolabi, Kolade M.; Saad, Khaled M. 6 2022 Application of Hirota operators for controlling soliton interactions for Bose-Einstein condensate and quintic derivative nonlinear Schrödinger equation. Zbl 1505.35330 Rizvi, Syed T. R.; Seadawy, Aly R.; Farah, N.; Ahmad, S. 6 2022 Prediction of optical solitons using an improved physics-informed neural network method with the conservation law constraint. Zbl 1505.78035 Wu, Gang-Zhou; Fang, Yin; Kudryashov, Nikolay A.; Wang, Yue-Yue; Dai, Chao-Qing 6 2022 Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations. Zbl 1505.35317 Ma, Yu-Lan; Li, Bang-Qing 6 2022 Mathematical analysis and numerical simulation of the ebola epidemic disease in the sense of conformable derivative. Zbl 1505.92195 Hammouch, Zakia; Rasul, Rando R. Q.; Ouakka, Abdellah; Elazzouzi, Abdelhai 6 2022 Soliton molecules, multi-breathers and hybrid solutions in (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation. Zbl 1505.35085 Wei, Peng-Fei; Long, Chun-Xiao; Zhu, Chen; Zhou, Yi-Ting; Yu, Hui-Zhen; Ren, Bo 6 2022 Stability and dynamics of complex order fractional difference equations. Zbl 1505.39013 Bhalekar, Sachin; Gade, Prashant M.; Joshi, Divya 6 2022 Data-driven soliton solutions and model parameters of nonlinear wave models via the conservation-law constrained neural network method. Zbl 1505.35316 Fang, Yin; Wu, Gang-Zhou; Kudryashov, Nikolay A.; Wang, Yue-Yue; Dai, Chao-Qing 6 2022 Almost periodic fuzzy multidimensional dynamic systems and applications on time scales. Zbl 1506.34010 Wang, Chao; Agarwal, Ravi P.; O’Regan, Donal 6 2022 Non-fractional and fractional mathematical analysis and simulations for Q fever. Zbl 1506.92083 Asamoah, Joshua Kiddy K.; Okyere, Eric; Yankson, Ernest; Opoku, Alex Akwasi; Adom-Konadu, Agnes; Acheampong, Edward; Arthur, Yarhands Dissou 6 2022 Hyers-Ulam stability and existence of solution for hybrid fractional differential equation with \(p\)-Laplacian operator. Zbl 1506.34013 Devi, Amita; Kumar, Anoop 6 2022 A parameter space method for analyzing Hopf bifurcation of fractional-order nonlinear systems with multiple-parameter. Zbl 1498.34049 Yang, Jing; Hou, Xiaorong; Li, Xiaoxue; Luo, Min 6 2022 Stability analysis for Schnakenberg reaction-diffusion model with gene expression time delay. Zbl 1498.35330 Alfifi, H. Y. 6 2022 Fast synchronization of symmetric Hénon maps using adaptive symmetry control. Zbl 1498.37062 Tutueva, Aleksandra V.; Moysis, Lazaros; Rybin, Vyacheslav G.; Kopets, Ekaterina E.; Volos, Christos; Butusov, Denis N. 6 2022 Cubic-quartic optical soliton perturbation with complex Ginzburg-Landau equation by the enhanced Kudryashov’s method. Zbl 1498.35492 Arnous, Ahmed H.; Biswas, Anjan; Yıldırım, Yakup; Zhou, Qin; Liu, Wenjun; Alshomrani, Ali S.; Alshehri, Hashim M. 6 2022 Controllability of a second-order non-autonomous stochastic semilinear system with several delays in control. Zbl 1498.93032 Afreen, A.; Raheem, A.; Khatoon, A. 6 2022 Practical finite difference method for solving multi-dimensional Black-Scholes model in fractal market. Zbl 1498.91499 Wang, Jian; Wen, Shuai; Yang, Mengdie; Shao, Wei 5 2022 Max-product type multivariate sampling operators and applications to image processing. Zbl 1498.94013 Kadak, Ugur 5 2022 Nonparaxial pulse propagation in a planar waveguide with Kerr-like and quintic nonlinearities; computational simulations. Zbl 1498.35463 Khater, Mostafa M. A. 5 2022 Construction of dense maximal-dimensional hypercyclic subspaces for Rolewicz operators. Zbl 1511.47045 Bernal-González, L.; Calderón-Moreno, M. C.; Fernández-Sánchez, J.; Muñoz-Fernández, G. A.; Seoane-Sepúlveda, J. B. 5 2022 Chaotic jam and phase transitions in a lattice model with density dependent passing. Zbl 1506.76012 Verma, Muskan; Sharma, Sapna 5 2022 ...and 1520 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 44,185 Authors 359 Băleanu, Dumitru I. 332 Cao, Jinde 228 Wazwaz, Abdul-Majid Abdul-Rahman 198 Chen, Guanrong 193 Abdeljawad, Thabet 175 El Naschie, Mohamed Saladin 162 Wang, Xingyuan 161 Hayat, Tasawar 155 Tian, Bo 154 Dehghan Takht Fooladi, Mehdi 144 Chen, Lansun 144 Xu, Wei 143 Al-saedi, Ahmed Eid Salem 142 Han, Maoan 138 Teng, Zhi-dong 129 Inc, Mustafa 129 Ma, Wen-Xiu 128 Park, Juhyun (Jessie) 126 Shah, Kamal 116 Jafari, Sajad 116 Zhang, Hongqing 115 Gómez-Aguilar, José Francisco 113 Biswas, Anjan 112 Liao, Xiaofeng 109 Rezapour, Shahram 107 Ahmad, Bashir 107 Zhang, Yufeng 106 Jiang, Daqing 106 Kudryashov, Nikolaĭ Alekseevich 106 Zhong, Shou-Ming 104 Atangana, Abdon 102 Sooppy Nisar, Kottakkaran 102 Tian, Lixin 100 Momani, Shaher M. 93 Yıldırım, Ahmet 91 Pham, Viet-Thanh 90 Ganji, Davood Domiri 90 Nieto Roig, Juan Jose 88 Jiang, Haijun 88 Rajagopal, Karthikeyan 86 Seadawy, Aly R. 86 Vaidyanathan, Sundarapandian 85 Vijayakumar, Velusamy 84 Akgül, Ali 83 Khalique, Chaudry Masood 83 Llibre, Jaume 81 Balasubramaniam, Pagavathigounder 81 Gao, Yitian 79 Li, Xiaodi 78 Kumar Upadhyay, Ranjit 77 Agarwal, Ravi P. 77 Gardini, Laura 77 Xu, Changjin 76 Jarad, Fahd 75 Chen, Yong 74 Huang, Lihong 74 Li, Jibin 72 Yang, Xiaosong 72 Zhang, Wei 71 Bekir, Ahmet 70 Kofané, Timoléon Crépin 70 Zhu, Quanxin 69 Yan, Zhenya 68 Odibat, Zaid M. 67 Li, Yongkun 67 Xia, Tie-Cheng 66 Kapitaniak, Tomasz 66 Kurths, Jürgen 66 Li, Chuandong 66 Sakthivel, Rathinasamy 66 Yang, Qigui 65 Bi, Qinsheng 65 Chu, Yuming 65 Hashim, Ishak 64 Heydari, Mohammad Hossein 64 Machado, José António Tenreiro 64 Xu, Rui 63 Dong, Huanhe 63 Etemad, Sina 63 Owolabi, Kolade Matthew 63 Salahshour, Soheil 62 Abbasbandy, Saeid 62 Liu, Xinzhi 62 Meng, Xinzhu 62 Noorani, Mohd Salmi Mohd 61 Kwon, Ohmin 61 Rakkiyappan, Rajan 61 Zhang, Tonghua 60 Yu, Pei 59 Hu, Cheng 59 Mohyud-Din, Syed Tauseef 59 Ouannas, Adel 58 Alzabut, Jehad O. 58 Bashkirtseva, Irina Adol’fovna 58 Ma, Junhai 57 Avazzadeh, Zakieh 57 Baskonus, Haci Mehmet 57 Dai, Chaoqing 57 El-Nabulsi, Rami Ahmad 56 Allahviranloo, Tofigh ...and 44,085 more Authors all top 5 Cited in 1,019 Journals 6,014 Chaos, Solitons and Fractals 2,226 Applied Mathematics and Computation 1,805 Communications in Nonlinear Science and Numerical Simulation 1,746 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1,385 Nonlinear Dynamics 1,212 Physics Letters. A 1,122 Mathematical Methods in the Applied Sciences 1,117 Advances in Difference Equations 1,062 Chaos 910 Physica A 690 Computers & Mathematics with Applications 640 Mathematical Problems in Engineering 551 Abstract and Applied Analysis 530 Discrete Dynamics in Nature and Society 511 Applied Mathematical Modelling 488 Mathematics and Computers in Simulation 487 Fractals 471 Physica D 465 Journal of the Franklin Institute 443 Nonlinear Analysis. Real World Applications 426 Journal of Computational and Applied Mathematics 401 Journal of Mathematical Analysis and Applications 339 Applied Mathematics Letters 320 Journal of Applied Mathematics and Computing 310 Computational and Applied Mathematics 306 International Journal of Applied and Computational Mathematics 299 Qualitative Theory of Dynamical Systems 286 International Journal of Modern Physics B 281 International Journal of Computer Mathematics 278 Journal of Mathematical Physics 278 Complexity 275 Journal of Applied Mathematics 275 Journal of Applied Analysis and Computation 270 International Journal of Biomathematics 255 Numerical Methods for Partial Differential Equations 242 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 240 Chinese Journal of Physics (Taipei) 220 Neural Networks 215 Advances in Mathematical Physics 209 Information Sciences 197 Journal of Function Spaces 197 AIMS Mathematics 188 Mathematical Biosciences and Engineering 187 Discrete and Continuous Dynamical Systems. Series B 184 Mathematical and Computer Modelling 174 International Journal of Theoretical Physics 173 International Journal of Nonlinear Sciences and Numerical Simulation 164 Asian Journal of Control 163 Communications in Theoretical Physics 158 Boundary Value Problems 156 Journal of Theoretical Biology 151 Journal of Inequalities and Applications 150 Fuzzy Sets and Systems 150 Discrete and Continuous Dynamical Systems. Series S 148 Journal of Difference Equations and Applications 144 Fractional Calculus & Applied Analysis 142 Journal of Differential Equations 135 Journal of Physics A: Mathematical and Theoretical 127 International Journal of Systems Science. Principles and Applications of Systems and Integration 124 Applied Numerical Mathematics 122 Nonlinear Analysis. Modelling and Control 120 International Journal of Robust and Nonlinear Control 114 Journal of Mathematical Chemistry 113 International Journal of Geometric Methods in Modern Physics 111 Differential Equations and Dynamical Systems 108 Waves in Random and Complex Media 106 Nonlinear Analysis. Hybrid Systems 105 Journal of Nonlinear Mathematical Physics 103 Modern Physics Letters B 98 Acta Mechanica 97 Mathematical Biosciences 94 International Journal of Control 94 Soft Computing 94 Journal of Statistical Mechanics: Theory and Experiment 92 Meccanica 91 Applicable Analysis 89 Wave Motion 89 Circuits, Systems, and Signal Processing 89 Journal of Biological Systems 89 International Journal of Differential Equations 88 Journal of Statistical Physics 88 Journal of Vibration and Control 85 Journal of the Egyptian Mathematical Society 82 Filomat 81 Numerical Algorithms 80 Journal of Geometry and Physics 79 Theoretical and Mathematical Physics 78 Reports on Mathematical Physics 78 Annals of Physics 78 Mathematical Modelling of Natural Phenomena 76 Computer Physics Communications 76 Mediterranean Journal of Mathematics 75 Journal of Biological Dynamics 74 Mathematical Sciences 74 Computational Methods for Differential Equations 70 Journal of Computational Physics 70 Optimal Control Applications & Methods 69 Fixed Point Theory and Applications 69 Journal of Mathematics 67 Applied Mathematics and Mechanics. (English Edition) ...and 919 more Journals all top 5 Cited in 63 Fields 14,360 Ordinary differential equations (34-XX) 10,656 Partial differential equations (35-XX) 10,466 Dynamical systems and ergodic theory (37-XX) 8,972 Biology and other natural sciences (92-XX) 6,171 Systems theory; control (93-XX) 5,618 Numerical analysis (65-XX) 3,314 Real functions (26-XX) 2,248 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2,112 Fluid mechanics (76-XX) 2,051 Probability theory and stochastic processes (60-XX) 1,725 Statistical mechanics, structure of matter (82-XX) 1,652 Information and communication theory, circuits (94-XX) 1,586 Mechanics of particles and systems (70-XX) 1,553 Quantum theory (81-XX) 1,531 Operator theory (47-XX) 1,346 Computer science (68-XX) 1,212 Difference and functional equations (39-XX) 1,158 Mechanics of deformable solids (74-XX) 1,057 Measure and integration (28-XX) 1,022 Integral equations (45-XX) 896 General topology (54-XX) 810 Operations research, mathematical programming (90-XX) 728 Calculus of variations and optimal control; optimization (49-XX) 679 Optics, electromagnetic theory (78-XX) 613 Statistics (62-XX) 569 Special functions (33-XX) 542 Number theory (11-XX) 535 Relativity and gravitational theory (83-XX) 492 Combinatorics (05-XX) 430 Differential geometry (53-XX) 372 Classical thermodynamics, heat transfer (80-XX) 371 Functional analysis (46-XX) 338 Approximations and expansions (41-XX) 292 Linear and multilinear algebra; matrix theory (15-XX) 256 Harmonic analysis on Euclidean spaces (42-XX) 251 Global analysis, analysis on manifolds (58-XX) 244 Integral transforms, operational calculus (44-XX) 228 Geophysics (86-XX) 173 Sequences, series, summability (40-XX) 154 Nonassociative rings and algebras (17-XX) 141 Mathematical logic and foundations (03-XX) 134 Manifolds and cell complexes (57-XX) 120 Functions of a complex variable (30-XX) 111 Astronomy and astrophysics (85-XX) 81 Topological groups, Lie groups (22-XX) 78 Algebraic geometry (14-XX) 57 Group theory and generalizations (20-XX) 52 General and overarching topics; collections (00-XX) 52 Geometry (51-XX) 41 Abstract harmonic analysis (43-XX) 37 Several complex variables and analytic spaces (32-XX) 34 Convex and discrete geometry (52-XX) 30 Potential theory (31-XX) 30 Algebraic topology (55-XX) 29 History and biography (01-XX) 24 Associative rings and algebras (16-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 20 Field theory and polynomials (12-XX) 17 General algebraic systems (08-XX) 17 Mathematics education (97-XX) 14 Commutative algebra (13-XX) 13 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) Citations by Year