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 Comments: Journal Documents Indexed: 7,139 Publications (since 1996) References Indexed: 6,853 Publications with 230,425 References. all top 5 Latest Issues 140, Part 1 (2025) 139 (2024) 138 (2024) 137 (2024) 136 (2024) 135 (2024) 134 (2024) 133 (2024) 132 (2024) 131 (2024) 130 (2024) 129 (2024) 128 (2024) 127 (2023) 126 (2023) 125 (2023) 124 (2023) 123 (2023) 122 (2023) 121 (2023) 120 (2023) 119 (2023) 118 (2023) 117 (2023) 116 (2023) 115 (2022) 114 (2022) 113 (2022) 112 (2022) 111 (2022) 110 (2022) 109 (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) ...and 162 more Volumes all top 5 Authors 44 Machado, José António Tenreiro 37 Sanjuán, Miguel A. F. 35 Hayat, Tasawar 32 Băleanu, Dumitru I. 32 Cao, Jinde 32 Guo, Boling 31 Shang, Pengjian 30 Biswas, Anjan 29 Wazwaz, Abdul-Majid Abdul-Rahman 27 Liao, Shijun 27 Luo, Albert C. J. 26 Ibragimov, Nail Hairullovich 26 Meleshko, Sergey V. 25 Kudryashov, Nikolaĭ Alekseevich 25 Tian, Bo 24 Xu, Wei 23 Malomed, Boris A. 22 Yu, Pei 22 Zhong, Shou-Ming 21 Abbasbandy, Saeid 21 Kim, Junseok 18 Lü, Xing 18 Wang, Jinrong 17 Chen, Guanrong 17 Chen, Yong 17 Gandarias Núñez, Maria Luz 17 Kevrekidis, Panayotis G. 17 Rand, Richard H. 16 Jiang, Daqing 16 Macías-Díaz, Jorge Eduardo 16 Tarasov, Vasily E. 15 He, Ji-Huan 15 Khalique, Chaudry Masood 15 Ma, Jun 15 Ma, Wen-Xiu 15 Vajravelu, Kuppalapalle 14 Awrejcewicz, Jan 14 Chen, Lansun 14 Li, Yongkun 14 Ryashko, Lev Borisovich 14 Wang, Jiang 14 Wang, Ke 13 Bashkirtseva, Irina Adol’fovna 13 Bi, Qinsheng 13 Dehghan Takht Fooladi, Mehdi 13 Kofané, Timoléon Crépin 13 Li, Xiaodi 13 Ruan, Jiong 13 Seoane, Jesús M. 13 Zhang, Yufeng 12 Batista, Antonio Marcos 12 Bowong, Samuel 12 Deng, Bin 12 He, Jingsong 12 Jin, Zhen 12 Li, Yibao 12 Maleknejad, Khosrow 12 Masdemont, Josep J. 12 O’Regan, Donal 12 Pop, Ioan 12 Shi, Dongyang 12 Sun, Jianqiao 12 Tian, Lixin 12 van Gorder, Robert Ashton 12 Wang, Xingyuan 12 Wiggins, Stephen R. 12 Yamapi, René 12 Zhu, Quanxin 11 Algaba, Antonio 11 Asghar, Saleem 11 Caraballo Garrido, Tomás 11 Cherniha, Roman M. 11 Fečkan, Michal 11 Fu, Xilin 11 Gómez, Gerard 11 Kurths, Jürgen 11 Li, Houqiang 11 Lin, Chang 11 Liu, Xinzhi 11 Lopes, António M. 11 Migórski, Stanisław 11 Noorani, Mohd Salmi Mohd 11 Páez Chávez, Joseph Nikolai 11 Starkov, Konstantin E. 11 Zaslavskiĭ, Georgiĭ Moiseevich 11 Zeng, Shengda 11 Zhang, Hongqing 11 Zhou, Yong 10 Akhmet, Marat Ubaydulla 10 Balasubramaniam, Pagavathigounder 10 Cao, Hongjun 10 Chen, Guoqian 10 Doroshin, Anton V. 10 Liao, Xiaofeng 10 Ma, Junhai 10 Ramm, Alexander G. 10 Wang, Lei 10 Woafo, Paul 10 Wong, Kwokwo 10 Xiao, Di ...and 11,656 more Authors all top 5 Fields 2,032 Partial differential equations (35-XX) 1,538 Ordinary differential equations (34-XX) 1,358 Dynamical systems and ergodic theory (37-XX) 1,143 Biology and other natural sciences (92-XX) 1,077 Numerical analysis (65-XX) 904 Systems theory; control (93-XX) 891 Fluid mechanics (76-XX) 496 Mechanics of particles and systems (70-XX) 491 Mechanics of deformable solids (74-XX) 360 Statistical mechanics, structure of matter (82-XX) 343 Probability theory and stochastic processes (60-XX) 313 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 277 Real functions (26-XX) 268 Information and communication theory, circuits (94-XX) 254 Optics, electromagnetic theory (78-XX) 170 Computer science (68-XX) 162 Statistics (62-XX) 162 Operations research, mathematical programming (90-XX) 155 Calculus of variations and optimal control; optimization (49-XX) 142 Classical thermodynamics, heat transfer (80-XX) 120 Quantum theory (81-XX) 112 Operator theory (47-XX) 105 Integral equations (45-XX) 95 Geophysics (86-XX) 94 Difference and functional equations (39-XX) 60 Special functions (33-XX) 54 Combinatorics (05-XX) 50 Measure and integration (28-XX) 39 Astronomy and astrophysics (85-XX) 34 Global analysis, analysis on manifolds (58-XX) 29 Approximations and expansions (41-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 25 Integral transforms, operational calculus (44-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 19 Relativity and gravitational theory (83-XX) 17 Nonassociative rings and algebras (17-XX) 16 General and overarching topics; collections (00-XX) 15 Number theory (11-XX) 12 General topology (54-XX) 11 Functional analysis (46-XX) 10 Functions of a complex variable (30-XX) 9 Differential geometry (53-XX) 5 Mathematical logic and foundations (03-XX) 5 Algebraic geometry (14-XX) 5 Topological groups, Lie groups (22-XX) 4 Manifolds and cell complexes (57-XX) 3 Sequences, series, summability (40-XX) 3 Algebraic topology (55-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 5,588 Publications have been cited 62,921 times in 38,138 Documents Cited by ▼ Year ▼ Recent history of fractional calculus. Zbl 1221.26002 Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco 532 2011 A new collection of real world applications of fractional calculus in science and engineering. Zbl 1509.26005 Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan 506 2018 Lyapunov functions for fractional order systems. Zbl 1510.34111 Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Gallegos, Javier A. 435 2014 A Caputo fractional derivative of a function with respect to another function. Zbl 1465.26005 Almeida, Ricardo 419 2017 On the \(\psi\)-Hilfer fractional derivative. Zbl 1470.26015 Vanterler da C. Sousa, J.; de Oliveira, E. Capelas 398 2018 Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems. Zbl 1333.34007 Duarte-Mermoud, Manuel A.; Aguila-Camacho, Norelys; Gallegos, Javier A.; Castro-Linares, Rafael 283 2015 Notes on the homotopy analysis method: some definitions and theorems. Zbl 1221.65126 Liao, Shijun 265 2009 Fractional calculus in viscoelasticity: an experimental study. Zbl 1221.74012 Meral, F. C.; Royston, T. J.; Magin, R. 227 2010 On the concept and existence of solution for impulsive fractional differential equations. Zbl 1252.35277 Fečkan, Michal; Zhou, Yong; Wang, Jinrong 218 2012 Homotopy analysis method for fractional IVPs. Zbl 1221.65277 Hashim, I.; Abdulaziz, O.; Momani, S. 213 2009 An optimal homotopy-analysis approach for strongly nonlinear differential equations. Zbl 1222.65088 Liao, Shijun 199 2010 A new approach to nonlinear partial differential equations. Zbl 0923.35046 He, Jihuan 194 1997 One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055 Kudryashov, Nikolay A. 177 2012 The role of fractional calculus in modeling biological phenomena: a review. Zbl 1467.92050 Ionescu, Claramihaela; Lopes, A.; Copot, Dana; Machado, J. A. T.; Bates, Jason H. T. 166 2017 Stability analysis of a prey-predator model incorporating a prey refuge. Zbl 1064.92045 Kar, Tapan Kumar 151 2005 Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146 Salahshour, S.; Allahviranloo, T.; Abbasbandy, S. 146 2012 Solving a nonlinear fractional differential equation using Chebyshev wavelets. Zbl 1222.65087 Li, Yuanlu 137 2010 Variational iteration method for delay differential equations. Zbl 0924.34063 He, Jihuan 135 1997 On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 1510.34004 Baleanu, Dumitru; Fernandez, Arran 135 2018 The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121 Saadatmandi, Abbas; Dehghan, Mehdi; Azizi, Mohammad-Reza 134 2012 Volterra-type Lyapunov functions for fractional-order epidemic systems. Zbl 1440.92067 Vargas-De-León, Cruz 132 2015 No violation of the Leibniz rule. No fractional derivative. Zbl 1329.26015 Tarasov, Vasily E. 131 2013 Homotopy analysis method for quadratic Riccati differential equation. Zbl 1132.34305 Tan, Yue; Abbasbandy, Saeid 131 2008 On the numerical solutions for the fractional diffusion equation. Zbl 1221.65263 Khader, M. M. 131 2011 On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions. Zbl 1473.37081 Ji, Jia-Liang; Zhu, Zuo-Nong 131 2017 Fractional Poisson process. Zbl 1025.35029 Laskin, Nick 130 2003 Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342 Kudryashov, Nikolai A. 129 2009 Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. Zbl 1221.49038 Almeida, Ricardo; Torres, Delfim F. M. 121 2011 Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. 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M. 106 2013 Finite-time \(\mathcal{H}_\infty\) synchronization for complex networks with semi-Markov jump topology. Zbl 1440.93074 Shen, Hao; Park, Ju H.; Wu, Zheng-Guang; Zhang, Zhengqiang 104 2015 On an accurate discretization of a variable-order fractional reaction-diffusion equation. Zbl 1509.65071 Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang 102 2019 New solitons and kink solutions for the Gardner equation. Zbl 1118.35352 Wazwaz, Abdul-Majid 101 2007 Fractional dynamics of systems with long-range interaction. Zbl 1106.35103 Tarasov, Vasily E.; Zaslavsky, George M. 96 2006 Some applications of fractional equations. Zbl 1041.35073 Weitzner, H.; Zaslavsky, G. M. 96 2003 The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015 Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar 95 2012 Application of generalized differential transform method to multi-order fractional differential equations. 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Zbl 1489.92125 Tripathi, Jai Prakash; Tyagi, Swati; Abbas, Syed 82 2015 Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China. Zbl 1444.92114 Ivorra, B.; Ferrández, M. R.; Vela-Pérez, Maria; Ramos, A. M. 82 2020 Transmission dynamics of cholera: mathematical modeling and control strategies. Zbl 1485.92154 Sun, Gui-Quan; Xie, Jun-Hui; Huang, Sheng-He; Jin, Zhen; Li, Ming-Tao; Liu, Liqun 82 2017 The Prabhakar or three parameter Mittag-Leffler function: theory and application. Zbl 1524.33083 Garra, Roberto; Garrappa, Roberto 82 2018 The existence of solutions for boundary value problem of fractional hybrid differential equations. Zbl 1352.34011 Sun, Shurong; Zhao, Yige; Han, Zhenlai; Li, Yanan 81 2012 Stability analysis of Caputo-like discrete fractional systems. 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Zbl 1221.94049 Kiani-B, Arman; Fallahi, Kia; Pariz, Naser; Leung, Henry 79 2009 The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage. Zbl 1221.34034 Li, Yongfeng; Cui, Jingan 79 2009 New concepts and results in stability of fractional differential equations. Zbl 1252.35276 Wang, Jinrong; Lv, Linli; Zhou, Yong 79 2012 Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation. Zbl 1470.35344 Zhou, Zi-Xiang 79 2018 Finite-time synchronization control of complex dynamical networks with time delay. Zbl 1311.34157 Mei, Jun; Jiang, Minghui; Xu, Wangming; Wang, Bin 78 2013 On “new travelling wave solutions” of the KdV and the KdV-Burgers equations. Zbl 1221.35343 Kudryashov, Nikolai A. 77 2009 How to impose physically coherent initial conditions to a fractional system? Zbl 1221.34019 Sabatier, Jocelyn; Merveillaut, Mathieu; Malti, Rachid; Oustaloup, Alain 76 2010 Positive solutions to singular fractional differential system with coupled boundary conditions. Zbl 1329.34010 Jiang, Jiqiang; Liu, Lishan; Wu, Yonghong 76 2013 Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching. Zbl 1524.37084 Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua 76 2018 The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants. Zbl 1078.35108 Wazwaz, Abdul-Majid 75 2006 A theory for synchronization of dynamical systems. Zbl 1221.37218 Luo, Albert C. J. 74 2009 Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006 Abdeljawad, Thabet; Baleanu, Dumitru 74 2011 Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter. Zbl 1510.34025 Zhai, Chengbo; Xu, Li 74 2014 Design of sliding mode controller for a class of fractional-order chaotic systems. Zbl 1248.93041 Yin, Chun; Zhong, Shou-ming; Chen, Wu-fan 74 2012 Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order. Zbl 1465.65108 Owolabi, Kolade M. 74 2017 An approximate solution technique depending on an artificial parameter: A special example. Zbl 0921.35009 He, Jihuan 73 1998 Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations. Zbl 1344.65126 Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Cattani, C. 73 2014 No nonlocality. No fractional derivative. Zbl 1470.26014 Tarasov, Vasily E. 73 2018 A theory for non-smooth dynamic systems on the connectable domains. Zbl 1065.34007 Luo, Albert C. J. 72 2005 Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions. Zbl 1508.26006 Fernandez, Arran; Baleanu, Dumitru; Srivastava, H. M. 71 2019 Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit. Zbl 1221.93227 Matouk, A. E. 69 2011 Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215 Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 69 2011 Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations. Zbl 1244.65243 Maleknejad, Khosrow; Hashemizadeh, Elham; Basirat, B. 69 2012 Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response. Zbl 1221.34152 Liu, Meng; Wang, Ke 68 2011 A collocation-shooting method for solving fractional boundary value problems. Zbl 1222.65078 Al-Mdallal, Qasem M.; Syam, Muhammed I.; Anwar, M. 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Zbl 1534.93316 Ruan, Zeyu; Hu, Junhao; Mei, Jun 2 2024 New predefined-time stability results of impulsive systems with time-varying Impulse strength and its application to synchronization of delayed BAM neural networks. Zbl 1534.93421 Zhao, Ningning; Qiao, Yuanhua; Miao, Jun; Duan, Lijuan 2 2024 Fixed-time synchronization of quaternion-valued neural networks with impulsive effects: a non-decomposition method. Zbl 1536.34069 Peng, Tao; Lu, Jianquan; Xiong, Jiang; Tu, Zhengwen; Liu, Yang; Lou, Jungang 2 2024 Fractional-order rate-dependent thermoelastic diffusion theory based on new definitions of fractional derivatives with non-singular kernels and the associated structural transient dynamic responses analysis of sandwich-like composite laminates. Zbl 1544.74022 Li, Chenlin; Liu, Jiaheng; He, Tianhu 2 2024 An efficient and fast adaptive numerical method for a novel phase-field model of crystal growth. 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Zbl 1530.93428 Kuang, Daipeng; Li, Jianli; Gao, Dongdong 1 2024 Generalized Lyapunov stability theory of continuous-time and discrete-time nonlinear distributed-order systems and its application to boundedness and attractiveness for networks models. Zbl 1531.34019 Wu, Xiang; Yang, Xujun; Song, Qiankun; Li, Chuandong 1 2024 Global exponential stability and stabilization of stochastic memristive neural networks with spatial diffusions and hybrid delays. Zbl 1530.34057 Shao, Yifeng; Wang, Qingyi; Wang, Leimin; Yin, Quan 1 2024 The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data. Zbl 1531.35392 Hào, Dinh-Nho; Le, Thuy T.; Nguyen, Loc H. 1 2024 Optimal control problem of fractional evolution inclusions with Clarke subdifferential driven by quasi-hemivariational inequalities. Zbl 07784319 Anh, Nguyen Thi Van 1 2024 Integrability and dynamics of the Poisson-Boltzmann equation in simple geometries. 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Zbl 1531.34059 Amster, Pablo; Rivera, Andrés; Arredondo, John A. 1 2024 ...and 1056 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 39,427 Authors 355 Băleanu, Dumitru I. 338 Hayat, Tasawar 283 Cao, Jinde 229 Al-saedi, Ahmed Eid Salem 168 Zhong, Shou-Ming 147 Machado, José António Tenreiro 141 Dehghan Takht Fooladi, Mehdi 139 Wazwaz, Abdul-Majid Abdul-Rahman 130 Ahmad, Bashir 130 Wang, Jinrong 127 Ma, Wen-Xiu 123 Abdeljawad, Thabet 122 Biswas, Anjan 117 Jiang, Daqing 110 Tian, Bo 107 Agarwal, Ravi P. 106 Kudryashov, Nikolaĭ Alekseevich 98 Khalique, Chaudry Masood 98 Park, Juhyun (Jessie) 95 Abbasbandy, Saeid 95 Inc, Mustafa 94 Kim, Junseok 93 Jafari, Sajad 90 Xu, Wei 89 Shah, Kamal 88 Nieto Roig, Juan Jose 88 Zhu, Quanxin 85 O’Regan, Donal 82 Gómez-Aguilar, José Francisco 79 Sakthivel, Rathinasamy 77 Teng, Zhi-dong 77 Vanterler da Costa Sousa, José 76 Heydari, Mohammad Hossein 76 Macías-Díaz, Jorge Eduardo 76 Zhou, Yong 75 Tian, Shoufu 74 Bhrawy, Ali Hassan 73 Jiang, Haijun 71 Tarasov, Vasily E. 70 Pham, Viet-Thanh 69 Liu, Xinzhi 67 Pop, Ioan 66 Razzaghi, Mohsen 65 Li, Xiaodi 65 Ordokhani, Yadollah 65 van Gorder, Robert Ashton 64 Li, Wenxue 63 Nadeem, Sohail 63 Wang, Xingyuan 63 Wu, Yonghong 62 Hu, Cheng 61 Ganji, Davood Domiri 61 Hashim, Ishak 61 Rajagopal, Karthikeyan 61 Zaky, Mahmoud A. 60 Kurths, Jürgen 60 Li, Yongkun 60 Liao, Shijun 60 Rezapour, Shahram 60 Vaidyanathan, Sundarapandian 60 Xu, Changjin 59 Bashkirtseva, Irina Adol’fovna 59 Liu, Fawang 59 Seadawy, Aly R. 59 Vajravelu, Kuppalapalle 58 Chen, Guanrong 58 Liu, Qun 58 Momani, Shaher M. 57 Atangana, Abdon 56 Cortés López, Juan Carlos 56 Rakkiyappan, Rajan 56 Zada, Akbar 55 Alzabut, Jehad O. 55 Avazzadeh, Zakieh 55 Gao, Yitian 55 Hendy, Ahmed S. 55 Owolabi, Kolade Matthew 55 Sajid, Muhammad 55 Sun, Shurong 55 Wu, Ranchao 54 Balasubramaniam, Pagavathigounder 54 Shang, Pengjian 53 Bruzón, Maria Santos 53 Khader, Mohamed M. 53 Maleknejad, Khosrow 53 Noorani, Mohd Salmi Mohd 53 Ntouyas, Sotiris K. 53 Yang, Junxiang 52 Liu, Lishan 52 Ouannas, Adel 52 Zhang, Tonghua 52 Zhang, Yufeng 51 Ma, Jun 51 Ryashko, Lev Borisovich 51 Yan, Zhenya 50 Chen, Fengde 50 He, Jingsong 50 Huang, Tingwen 50 Kumar Upadhyay, Ranjit 50 Shi, Kaibo ...and 39,327 more Authors all top 5 Cited in 887 Journals 3,394 Communications in Nonlinear Science and Numerical Simulation 1,666 Applied Mathematics and Computation 1,326 Chaos, Solitons and Fractals 1,265 Nonlinear Dynamics 1,114 Advances in Difference Equations 1,107 Mathematical Methods in the Applied Sciences 917 Physica A 832 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 724 Mathematical Problems in Engineering 701 Chaos 676 Computers & Mathematics with Applications 587 Journal of the Franklin Institute 578 Applied Mathematical Modelling 545 Abstract and Applied Analysis 540 Journal of Computational and Applied Mathematics 481 Applied Mathematics Letters 467 Mathematics and Computers in Simulation 438 Physics Letters. 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Series A: Theory and Methods 68 Studies in Applied Mathematics 67 Computational Mathematics and Mathematical Physics 66 Automatica ...and 787 more Journals all top 5 Cited in 62 Fields 12,047 Ordinary differential equations (34-XX) 10,673 Partial differential equations (35-XX) 7,104 Numerical analysis (65-XX) 6,265 Biology and other natural sciences (92-XX) 5,963 Systems theory; control (93-XX) 5,486 Dynamical systems and ergodic theory (37-XX) 3,657 Fluid mechanics (76-XX) 3,351 Real functions (26-XX) 2,024 Probability theory and stochastic processes (60-XX) 1,613 Mechanics of deformable solids (74-XX) 1,574 Operator theory (47-XX) 1,344 Mechanics of particles and systems (70-XX) 1,320 Integral equations (45-XX) 1,275 Statistical mechanics, structure of matter (82-XX) 1,189 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 985 Information and communication theory, circuits (94-XX) 959 Computer science (68-XX) 947 Calculus of variations and optimal control; optimization (49-XX) 931 Operations research, mathematical programming (90-XX) 824 Classical thermodynamics, heat transfer (80-XX) 802 Difference and functional equations (39-XX) 697 Optics, electromagnetic theory (78-XX) 569 Quantum theory (81-XX) 544 Special functions (33-XX) 456 Statistics (62-XX) 300 Approximations and expansions (41-XX) 264 Combinatorics (05-XX) 258 Integral transforms, operational calculus (44-XX) 224 Harmonic analysis on Euclidean spaces (42-XX) 218 Global analysis, analysis on manifolds (58-XX) 190 Geophysics (86-XX) 186 Measure and integration (28-XX) 167 Functional analysis (46-XX) 122 Relativity and gravitational theory (83-XX) 118 Linear and multilinear algebra; matrix theory (15-XX) 92 Topological groups, Lie groups (22-XX) 89 General topology (54-XX) 85 Differential geometry (53-XX) 83 Nonassociative rings and algebras (17-XX) 75 Number theory (11-XX) 72 Functions of a complex variable (30-XX) 57 Astronomy and astrophysics (85-XX) 46 Sequences, series, summability (40-XX) 43 Mathematical logic and foundations (03-XX) 31 Algebraic geometry (14-XX) 24 History and biography (01-XX) 24 Potential theory (31-XX) 21 Abstract harmonic analysis (43-XX) 18 General and overarching topics; collections (00-XX) 16 Several complex variables and analytic spaces (32-XX) 16 Algebraic topology (55-XX) 12 Manifolds and cell complexes (57-XX) 8 Commutative algebra (13-XX) 8 Group theory and generalizations (20-XX) 7 Field theory and polynomials (12-XX) 7 Mathematics education (97-XX) 6 Convex and discrete geometry (52-XX) 5 Geometry (51-XX) 4 Category theory; homological algebra (18-XX) 3 Associative rings and algebras (16-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) Citations by Year