## 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: 5,844 Publications (since 1996) References Indexed: 5,562 Publications with 174,310 References.
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### Authors

 46 Machado, José António Tenreiro 35 Hayat, Tasawar 32 Guo, Boling 30 Băleanu, Dumitru I. 30 Biswas, Anjan 30 Sanjuán, Miguel A. F. 28 Wazwaz, Abdul-Majid Abdul-Rahman 27 Luo, Albert C. J. 27 Shang, Pengjian 26 Ibragimov, Nail Hairullovich 26 Liao, Shijun 24 Tian, Bo 23 Kudryashov, Nikolaĭ Alekseevich 23 Meleshko, Sergey V. 21 Abbasbandy, Saeid 21 Xu, Wei 21 Zhong, Shou-Ming 19 Malomed, Boris A. 18 Yu, Pei 17 Chen, Guanrong 17 Rand, Richard H. 16 Macías-Díaz, Jorge Eduardo 15 Gandarias Núñez, Maria Luz 15 Kofané, Timoléon Crépin 15 Tarasov, Vasily E. 15 Vajravelu, Kuppalapalle 15 Wang, Jiang 15 Wang, Jinrong 14 Cao, Jinde 14 Chen, Lansun 14 Chen, Yong 14 He, Jihuan 14 Khalique, Chaudry Masood 14 Lü, Xing 14 Ma, Jun 14 Wang, Ke 13 Awrejcewicz, Jan 13 Deng, Bin 13 Li, Yongkun 13 Ma, Wen-Xiu 13 Ruan, Jiong 13 Wang, Xingyuan 13 Yamapi, René 13 Zhang, Yufeng 12 Bowong, Samuel 12 He, Jingsong 12 Kim, Junseok 12 Maleknejad, Khosrow 12 Sun, Jianqiao 12 Tian, Lixin 12 van Gorder, Robert Ashton 12 Wiggins, Stephen 11 Algaba, Antonio 11 Asghar, Saleem 11 Batista, Antonio Marcos 11 Bi, Qinsheng 11 Chen, Guoqian 11 Dehghan Takht Fooladi, Mehdi 11 Fu, Xilin 11 Kevrekidis, Panayotis G. 11 Li, Houqiang 11 Lin, Chang 11 Ma, Junhai 11 Masdemont, Josep J. 11 Noorani, Mohd Salmi Mohd 11 O’Regan, Donal 11 Pop, Ioan 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 Jiang, Daqing 10 Kurths, Jürgen 10 Li, Xiaodi 10 Liao, Xiaofeng 10 Lopes, António M. 10 Ramm, Alexander G. 10 Ryashko, Lev Borisovich 10 Starkov, Konstantin E. 10 Wang, Lei 10 Wong, Kwokwo 10 Xiao, Di 9 Agarwal, Ravi P. 9 Ayub, Muhammad 9 Balasubramaniam, Pagavathigounder 9 Bashkirtseva, Irina Adol’fovna 9 Bruzón, Maria Santos 9 Butcher, Eric A. 9 Cao, Hongjun 9 Cherniha, Roman M. 9 Doroshin, Anton V. 9 Fang, Tiegang 9 Gao, Yitian 9 Hashim, Ishak 9 Kovacic, Ivana 9 Liu, Xinzhi ...and 8,928 more Authors
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### Fields

 1,569 Partial differential equations (35-XX) 1,292 Ordinary differential equations (34-XX) 1,253 Dynamical systems and ergodic theory (37-XX) 856 Biology and other natural sciences (92-XX) 775 Numerical analysis (65-XX) 723 Fluid mechanics (76-XX) 665 Systems theory; control (93-XX) 405 Mechanics of particles and systems (70-XX) 350 Mechanics of deformable solids (74-XX) 304 Statistical mechanics, structure of matter (82-XX) 246 Probability theory and stochastic processes (60-XX) 244 Information and communication theory, circuits (94-XX) 215 Real functions (26-XX) 213 Optics, electromagnetic theory (78-XX) 205 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 161 General and overarching topics; collections (00-XX) 147 Computer science (68-XX) 141 Operations research, mathematical programming (90-XX) 137 Statistics (62-XX) 122 Classical thermodynamics, heat transfer (80-XX) 113 Quantum theory (81-XX) 85 Integral equations (45-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 80 Geophysics (86-XX) 72 Difference and functional equations (39-XX) 72 Operator theory (47-XX) 53 Special functions (33-XX) 42 Combinatorics (05-XX) 42 Measure and integration (28-XX) 35 Astronomy and astrophysics (85-XX) 30 Global analysis, analysis on manifolds (58-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 20 Relativity and gravitational theory (83-XX) 19 Approximations and expansions (41-XX) 19 Integral transforms, operational calculus (44-XX) 12 Number theory (11-XX) 12 Nonassociative rings and algebras (17-XX) 9 Functions of a complex variable (30-XX) 9 Differential geometry (53-XX) 7 General topology (54-XX) 6 Functional analysis (46-XX) 5 Topological groups, Lie groups (22-XX) 4 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 2 Mathematical logic and foundations (03-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Manifolds and cell complexes (57-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

### Citations contained in zbMATH Open

4,135 Publications have been cited 35,158 times in 22,388 Documents Cited by Year
Recent history of fractional calculus. Zbl 1221.26002
Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco
2011
Notes on the homotopy analysis method: some definitions and theorems. Zbl 1221.65126
Liao, Shijun
2009
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
2015
Homotopy analysis method for fractional IVPs. Zbl 1221.65277
Hashim, I.; Abdulaziz, O.; Momani, S.
2009
On the concept and existence of solution for impulsive fractional differential equations. Zbl 1252.35277
Fečkan, Michal; Zhou, Yong; Wang, Jinrong
2012
A Caputo fractional derivative of a function with respect to another function. Zbl 1465.26005
Almeida, Ricardo
2017
Fractional calculus in viscoelasticity: an experimental study. Zbl 1221.74012
Meral, F. C.; Royston, T. J.; Magin, R.
2010
An optimal homotopy-analysis approach for strongly nonlinear differential equations. Zbl 1222.65088
Liao, Shijun
2010
A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
2018
On the $$\psi$$-Hilfer fractional derivative. Zbl 1470.26015
Vanterler da C. Sousa, J.; de Oliveira, E. Capelas
2018
Lyapunov functions for fractional order systems. Zbl 07175104
Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Gallegos, Javier A.
2014
One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055
Kudryashov, Nikolay A.
2012
Homotopy analysis method for quadratic Riccati differential equation. Zbl 1132.34305
Tan, Yue; Abbasbandy, Saeid
2008
On the numerical solutions for the fractional diffusion equation. Zbl 1221.65263
2011
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
2012
Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342
Kudryashov, Nikolai A.
2009
Solving a nonlinear fractional differential equation using Chebyshev wavelets. Zbl 1222.65087
Li, Yuanlu
2010
The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121
2012
Fractional Poisson process. Zbl 1025.35029
2003
The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations. Zbl 1221.34068
Zhao, Yige; Sun, Shurong; Han, Zhenlai; Li, Qiuping
2011
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. Zbl 1221.93091
Wang, Xing-Yuan; Song, Jun-Mei
2009
Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. Zbl 1221.49038
Almeida, Ricardo; Torres, Delfim F. M.
2011
An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Zbl 1078.76022
Liao, Shijun
2006
No violation of the Leibniz rule. No fractional derivative. Zbl 1329.26015
Tarasov, Vasily E.
2013
Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet. Zbl 1335.45002
Zhu, Li; Fan, Qibin
2012
Stability analysis of a prey-predator model incorporating a prey refuge. Zbl 1064.92045
Kar, Tapan Kumar
2005
New solitons and kink solutions for the Gardner equation. Zbl 1118.35352
Wazwaz, Abdul-Majid
2007
The Legendre wavelet method for solving fractional differential equations. Zbl 1222.65063
Ur Rehman, Mujeeb; Ali Khan, Rahmat
2011
The uniqueness of positive solution for a singular fractional differential system involving derivatives. Zbl 1283.34006
Zhang, Xinguang; Liu, Lishan; Wu, Yonghong
2013
On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Zbl 1221.93230
Rafikov, Marat; Balthazar, José Manoel
2008
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
2008
Some applications of fractional equations. Zbl 1041.35073
Weitzner, H.; Zaslavsky, G. M.
2003
Lie symmetry analysis to the time fractional generalized fifth-order KdV equation. Zbl 1304.35624
Wang, Gang-wei; Liu, Xi-qiang; Zhang, Ying-yuan
2013
Approximate controllability of nonlinear fractional dynamical systems. Zbl 1344.93019
Sakthivel, R.; Ganesh, R.; Ren, Yong; Anthoni, S. M.
2013
Be careful with the Exp-function method. Zbl 1221.35344
Kudryashov, Nikolai A.; Loguinova, Nadejda B.
2009
Synchronization of different fractional order chaotic systems using active control. Zbl 1222.94031
Bhalekar, Sachin; Daftardar-Gejji, Varsha
2010
Volterra-type Lyapunov functions for fractional-order epidemic systems. Zbl 1440.92067
Vargas-De-León, Cruz
2015
The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015
Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar
2012
New concepts and results in stability of fractional differential equations. Zbl 1252.35276
Wang, Jinrong; Lv, Linli; Zhou, Yong
2012
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. Zbl 1221.65278
Jafari, H.; Seifi, S.
2009
Modified fractional Euler method for solving fuzzy fractional initial value problem. Zbl 1253.35208
2013
The existence of solutions for boundary value problem of fractional hybrid differential equations. Zbl 1352.34011
Sun, Shurong; Zhao, Yige; Han, Zhenlai; Li, Yanan
2012
A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations. Zbl 1226.65062
Esmaeili, Shahrokh; Shamsi, M.
2011
Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity. Zbl 1222.35062
Vitanov, Nikolay K.
2010
A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter. Zbl 1221.94049
Kiani-B, Arman; Fallahi, Kia; Pariz, Naser; Leung, Henry
2009
A theory for synchronization of dynamical systems. Zbl 1221.37218
Luo, Albert C. J.
2009
New travelling wave solutions to the Boussinesq and the Klein-Gordon equations. Zbl 1221.35372
Wazwaz, Abdul-Majid
2008
Caputo $$q$$-fractional initial value problems and a $$q$$-analogue Mittag-Leffler function. Zbl 1231.26006
2011
Positive solutions to singular fractional differential system with coupled boundary conditions. Zbl 1329.34010
Jiang, Jiqiang; Liu, Lishan; Wu, Yonghong
2013
The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage. Zbl 1221.34034
Li, Yongfeng; Cui, Jingan
2009
Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials. Zbl 1266.65115
Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi
2012
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
2006
Design of sliding mode controller for a class of fractional-order chaotic systems. Zbl 1248.93041
Yin, Chun; Zhong, Shou-ming; Chen, Wu-fan
2012
Finite-time synchronization control of complex dynamical networks with time delay. Zbl 1311.34157
Mei, Jun; Jiang, Minghui; Xu, Wangming; Wang, Bin
2013
A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order. Zbl 1221.65354
Saeedi, H.; Moghadam, M. Mohseni; Mollahasani, N.; Chuev, G. N.
2011
Fractional dynamics of systems with long-range interaction. Zbl 1106.35103
Tarasov, Vasily E.; Zaslavsky, George M.
2006
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.
2014
On “new travelling wave solutions” of the KdV and the KdV-Burgers equations. Zbl 1221.35343
Kudryashov, Nikolai A.
2009
How to impose physically coherent initial conditions to a fractional system? Zbl 1221.34019
Sabatier, Jocelyn; Merveillaut, Mathieu; Malti, Rachid; Oustaloup, Alain
2010
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.
2020
Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations. Zbl 1244.65243
2012
Solving a system of nonlinear fractional partial differential equations using homotopy analysis method. Zbl 1221.35439
Jafari, H.; Seifi, S.
2009
Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215
Balachandran, K.; Kiruthika, S.; Trujillo, J. J.
2011
Leibniz type rule: $$\psi$$-Hilfer fractional operator. Zbl 1477.26012
Vanterler da C. Sousa, J.; de Oliveira, E. Capelas
2019
A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. Zbl 1244.65099
Bhrawy, Ali H.; Alofi, A. S.
2012
Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel. Zbl 1127.76069
Haroun, Mohamed H.
2007
An approximate solution technique depending on an artificial parameter: A special example. Zbl 0921.35009
He, Jihuan
1998
Adiabatic parameter dynamics of perturbed solitary waves. Zbl 1221.35321
Antonova, Mariana; Biswas, Anjan
2009
A sliding mode control for linear fractional systems with input and state delays. Zbl 1221.93048
Si-Ammour, Amar; Djennoune, Said; Bettayeb, Maamar
2009
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.
2017
Complete controllability of fractional evolution systems. Zbl 1248.93029
Wang, Jinrong; Zhou, Yong
2012
Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations. Zbl 1351.35250
Gazizov, R. K.; Ibragimov, N. H.; Lukashchuk, S. Yu.
2015
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
2011
Finite-time chaos control via nonsingular terminal sliding mode control. Zbl 1221.37225
Wang, Hua; Han, Zheng-Zhi; Xie, Qi-Yue; Zhang, Wei
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 1221.65208
Van Gorder, Robert A.; Vajravelu, K.
2009
Exponential stability of second-order stochastic evolution equations with Poisson jumps. Zbl 1273.60077
Sakthivel, R.; Ren, Y.
2012
Grey system model with the fractional order accumulation. Zbl 1274.62639
Wu, Lifeng; Liu, Sifeng; Yao, Ligen; Yan, Shuli; Liu, Dinglin
2013
A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation. Zbl 1221.65334
2011
Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160
Kudryashov, Nikolai A.
2010
Solution of the MHD Falkner-Skan flow by homotopy analysis method. Zbl 1221.76133
Abbasbandy, S.; Hayat, T.
2009
Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets. Zbl 1221.65140
2011
Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays. Zbl 1221.93254
Balasubramaniam, P.; Vembarasan, V.; Rakkiyappan, R.
2011
A collocation-shooting method for solving fractional boundary value problems. Zbl 1222.65078
Al-Mdallal, Qasem M.; Syam, Muhammed I.; Anwar, M. N.
2010
Fuzzy fractional functional differential equations under Caputo gH-differentiability. Zbl 1336.34009
Ngo Van Hoa
2015
A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces. Zbl 1223.45007
Wang, Jinrong; Zhou, Yong; Wei, W.
2011
Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations. Zbl 1221.34083
Grace, Said R.; Agarwal, Ravi P.; Bohner, Martin; O’Regan, Donal
2009
On shifted Jacobi spectral method for high-order multi-point boundary value problems. Zbl 1251.65112
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M.
2012
On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 07263357
Baleanu, Dumitru; Fernandez, Arran
2018
Bifurcations of fuzzy nonlinear dynamical systems. Zbl 1078.37049
Hong, Ling; Sun, Jian-Qiao
2006
Synchronization of the unified chaotic system and application in secure communication. Zbl 1221.94047
Grzybowski, J. M. V.; Rafikov, M.; Balthazar, J. M.
2009
Dynamical models of happiness with fractional order. Zbl 1221.93234
Song, Lei; Xu, Shiyun; Yang, Jianying
2010
Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit. Zbl 1221.93227
Matouk, A. E.
2011
Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response. Zbl 1221.34152
Liu, Meng; Wang, Ke
2011
The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms. Zbl 1221.35373
Wazwaz, Abdul-Majid
2008
Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Zbl 1286.34106
Li, Xiaodi; Rakkiyappan, R.
2013
Robust finite-time $$H_{\infty }$$ control for a class of uncertain switched neutral systems. Zbl 1239.93036
Xiang, Zhengrong; Sun, Ya-Nan; Mahmoud, Magdi S.
2012
Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller. Zbl 1248.93146
2012
Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method. Zbl 1221.65284
Ray, Santanu Saha
2009
Viscous flow over a shrinking sheet with a second order slip flow model. Zbl 1222.76028
Fang, Tiegang; Yao, Shanshan; Zhang, Ji; Aziz, Abdul
2010
A theory for non-smooth dynamic systems on the connectable domains. Zbl 1065.34007
Luo, Albert C. J.
2005
Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations. Zbl 1481.78025
Wang, Xin; Wang, Lei; Liu, Chong; Guo, Bowen; Wei, Jiao
2022
Certain electromagnetic waves in a ferromagnetic film. Zbl 07443076
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Yin, Hui-Min; Du, Xia-Xia; Yang, Dan-Yu
2022
KAM quasi-periodic tori for the dissipative spin-orbit problem. Zbl 1480.37070
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael
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 07428002
Oruç, Ömer
2022
On the stability of satellites at unstable libration points of Sun-planet-Moon systems. Zbl 07428013
Reiff, Johannes; Zatsch, Jonas; Main, Jörg; Hernandez, Rigoberto
2022
PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. Zbl 07443077
Peng, Wei-Qi; Pu, Jun-Cai; Chen, Yong
2022
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix. Zbl 07469331
Tian, He-Yuan; Tian, Bo; Sun, Yan; Zhang, Chen-Rong
2022
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells. Zbl 1482.74086
Liu, Yunfei; Qin, Zhaoye; Chu, Fulei
2022
Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry. Zbl 07427989
Nozaleda, Daniel Reyes; Tempesta, Piergiulio; Tondo, Giorgio
2022
Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes. Zbl 1477.74042
Jin, Qiduo; Ren, Yiru
2022
Analysis and discretization of a variable-order fractional wave equation. Zbl 07428007
Zheng, Xiangcheng; Wang, Hong
2022
Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques. Zbl 1476.65145
Rufai, Mufutau Ajani; Ramos, Higinio
2022
Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems. Zbl 07443102
Fan, Enyu; Li, Changpin; Li, Zhiqiang
2022
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients. Zbl 07443103
Li, Qianqian; Shan, Wenrui; Wang, Panpan; Cui, Haoguang
2022
KAM quasi-periodic solutions for the dissipative standard map. Zbl 07443110
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
2022
Lucas polynomials based spectral methods for solving the fractional order electrohydrodynamics flow model. Zbl 07469333
Sahlan, M. Nosrati; Afshari, H.
2022
Breather-soliton molecules and breather-positons for the extended complex modified KdV equation. Zbl 07469346
Lv, Nannan; Huang, Lin
2022
Computer-assisted proof for the stationary solution existence of the Navier-Stokes equation over 3D domains. Zbl 07474629
Liu, Xuefeng; Nakao, Mitsuhiro T.; Oishi, Shin&rsquo;ichi
2022
Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift. Zbl 07474638
Kengne, Emmanuel; Liu, WuMing
2022
A bridge between invariant dynamical structures and uncertainty quantification. Zbl 1483.37114
García-Sánchez, G.; Mancho, A. M.; Wiggins, S.
2022
Distributed optimal control problems for a class of elliptic hemivariational inequalities with a parameter and its asymptotic behavior. Zbl 1480.35252
Gariboldi, Claudia M.; Tarzia, Domingo A.
2022
Conditional physics informed neural networks. Zbl 1485.65086
Kovacs, 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
2022
On a new class of abstract mixed variational-hemivariational problems. Zbl 1477.49018
Matei, Andaluzia
2022
Transition state dynamics of a driven magnetic free layer. Zbl 1487.78004
Mögerle, Johannes; Schuldt, Robin; Reiff, Johannes; Main, Jörg; Hernandez, Rigoberto
2022
Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana-Baleanu fractional derivative. Zbl 1478.92202
Kolebaje, O. T.; Vincent, O. R.; Vincent, U. E.; McClintock, P. V. E.
2022
On numerical approximations of fractional-order spiking neuron models. Zbl 1478.92036
AbdelAty, A. M.; Fouda, M. E.; Eltawil, A. M.
2022
On pattern formation in reaction-diffusion systems containing self- and cross-diffusion. Zbl 07443093
Aymard, Benjamin
2022
Computer assisted proof of drift orbits along normally hyperbolic manifolds. Zbl 1485.37071
Capiński, Maciej J.; Gonzalez, Jorge; Marco, Jean-Pierre; Mireles James, Jason D.
2022
A generalized $$(1+2)$$-dimensional Bogoyavlenskii-Kadomtsev-Petviashvili (BKP) equation: multiple exp-function algorithm; conservation laws; similarity solutions. Zbl 1479.35178
Moretlo, T. S.; Adem, A. R.; Muatjetjeja, B.
2022
Closed-form formulas for conditional moments of inhomogeneous Pearson diffusion processes. Zbl 1479.60165
Sutthimat, Phiraphat; Mekchay, Khamron
2022
Nonlinear dynamic analysis of nonlocal composite laminated toroidal shell segments subjected to mechanical shock. Zbl 07443106
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 07469338
Liu, Peng; Ouyang, Zhigang; Chen, Chuanjun; Yang, Xiaofeng
2022
Robust $$H_{\infty}$$ integral controller design for regulation problem of uncertain nonlinear systems with non-zero set-point. Zbl 1482.93163
Ghaffari, Valiollah; Mobayen, Saleh
2022
Emergence of extreme events in coupled systems with time-dependent interactions. Zbl 07469352
2022
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. Zbl 1483.35119
Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi
2022
Response probability density function for non-bijective transformations. Zbl 07469359
La Valle, Gabriele; Laudani, Rossella; Falsone, Giovanni
2022
Competitive exclusion and coexistence in an intraguild predation model with Beddington-DeAngelis functional response. Zbl 1482.92070
Ji, Juping; Wang, Lin
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 1480.65222
Rao, S. Chandra Sekhara; Chaturvedi, Abhay Kumar
2022
Wave propagation behavior in nonlinear media and resonant nonlinear interactions. Zbl 1482.76028
Islam, M. Nurul; İlhan, Onur Alp; Akbar, M. Ali; Benli, Fatma Berna; Soybaş, Danyal
2022
New criteria of almost sure exponential stability and instability of nonlinear stochastic systems with a generalization to stochastic coupled systems. Zbl 1490.93109
Li, Sen; Lv, Congying; Ding, Xiaohua
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 1490.74049
Talik, S.; Sinou, J.-J.; Claeys, M.; Lambelin, J.-P.
2022
Finite-time dissipative control for discrete-time stochastic delayed systems with Markovian switching and interval parameters. Zbl 1490.93112
Chen, Guici; Yang, Jinrong; Zhou, Xin
2022
Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. Zbl 1489.35257
Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi
2022
Pattern formation in a thermosensitive neural network. Zbl 07526839
Xu, Ying; Ma, Jun
2022
Unconditionally energy stable schemes for fluid-based topology optimization. Zbl 07526842
Li, Yibao; Wang, Kunyang; Yu, Qian; Xia, Qing; Kim, Junseok
2022
Simulation of hybrid systems under Zeno behavior using numerical infinitesimals. Zbl 07526846
Falcone, Alberto; Garro, Alfredo; Mukhametzhanov, Marat S.; Sergeyev, Yaroslav D.
2022
New criteria on exponential stability of impulsive stochastic delayed differential systems with infinite delays. Zbl 07526854
Xu, Haofeng; Zhu, Quanxin
2022
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 1471.65162
2021
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Zbl 1452.76227
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin
2021
Convergence of a generalized penalty method for variational-hemivariational inequalities. Zbl 07274884
Zeng, Shengda; Migórski, Stanisław; Liu, Zhenhai; Yao, Jen-Chih
2021
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? Zbl 1466.65086
Zaky, Mahmoud A.; Hendy, Ahmed S.; Alikhanov, Anatoly A.; Pimenov, Vladimir G.
2021
CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems. Zbl 1473.37004
Kapela, Tomasz; Mrozek, Marian; Wilczak, Daniel; Zgliczyński, Piotr
2021
Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem. Zbl 1455.65113
Salahshour, Soheil; Ahmadian, Ali; Pansera, Bruno A.; Ferrara, Massimiliano
2021
Hidden attractors and multistability in a modified Chua’s circuit. Zbl 1456.34057
Wang, Ning; Zhang, Guoshan; Kuznetsov, N. V.; Bao, Han
2021
Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations. Zbl 1464.34005
Ahmadova, Arzu; Huseynov, Ismail T.; Fernandez, Arran; Mahmudov, Nazim I.
2021
An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay. Zbl 1455.65017
Moghaddam, B. P.; Mostaghim, Z. S.; Pantelous, Athanasios A.; Machado, J. A. Tenreiro
2021
Optimal control strategies of Zika virus model with mutant. Zbl 1453.92285
2021
On the size-dependent nonlinear thermo-electro-mechanical free vibration analysis of functionally graded flexoelectric nano-plate. Zbl 1456.74052
2021
Fractional-order models for the static and dynamic analysis of nonlocal plates. Zbl 1459.74112
Patnaik, Sansit; Sidhardh, Sai; Semperlotti, Fabio
2021
Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws. Zbl 1456.35073
Lü, Xing; Hua, Yan-Fei; Chen, Si-Jia; Tang, Xian-Feng
2021
Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients. Zbl 1456.35072
Chen, Si-Jia; Lü, Xing; Tang, Xian-Feng
2021
Dynamics of a three-species food chain model with fear effect. Zbl 1466.92220
Cong, Pingping; Fan, Meng; Zou, Xingfu
2021
On non-uniqueness of recovering Sturm-Liouville operators with delay. Zbl 1468.34024
Djurić, Nebojša; Buterin, Sergey
2021
The generalized Duffing oscillator. Zbl 07274921
Kudryashov, Nikolay A.
2021
Enhanced vibration isolation performance of quasi-zero-stiffness isolator by introducing tunable nonlinear inerter. Zbl 1458.74059
Liu, Chaoran; Yu, Kaiping; Liao, Baopeng; Hu, Rongping
2021
The damping accumulated grey model and its application. Zbl 1457.62269
Liu, Lianyi; Chen, Yan; Wu, Lifeng
2021
Designing continuous delay feedback control for lattice hydrodynamic model under cyber-attacks and connected vehicle environment. Zbl 1456.82635
Zhai, Cong; Wu, Weitiao
2021
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories. Zbl 1461.83073
Christov, Ivan C.; Decker, Robert J.; Demirkaya, A.; Gani, Vakhid A.; Kevrekidis, P. G.; Saxena, Avadh
2021
A novel elastic net-based NGBMC(1,n) model with multi-objective optimization for nonlinear time series forecasting. Zbl 1461.90143
Yu, Lang; Ma, Xin; Wu, Wenqing; Wang, Yong; Zeng, Bo
2021
A novel modeling of boundary value problems on the glucose graph. Zbl 1466.92244
2021
Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential. Zbl 1471.65110
Wang, Xiuhua; Kou, Jisheng; Gao, Huicai
2021
Nonlinear stability issues for stochastic Runge-Kutta methods. Zbl 1455.65014
D&rsquo;Ambrosio, Raffaele; Di Giovacchino, Stefano
2021
Kink-antikink collisions in the periodic $$\varphi^4$$ model. Zbl 1454.83144
2021
Complex-order particle swarm optimization. Zbl 1454.90116
Tenreiro Machado, J. A.; Abedi Pahnehkolaei, Seyed Mehdi; Alfi, Alireza
2021
Long-term dynamical behavior of the wave model with locally distributed frictional and viscoelastic damping. Zbl 1452.35104
Li, Chan; Liang, Jin; Xiao, Ti-Jun
2021
A robust and contact preserving flux splitting scheme for compressible flows. Zbl 1452.65190
Hu, Lijun; Feng, Sebert
2021
Dynamic transport: from bifurcation to multistability. Zbl 1458.37089
Li, Chunbiao; Chen, Guanrong; Kurths, Jürgen; Lei, Tengfei; Liu, Zuohua
2021
Traveling wave solutions for a diffusive age-structured SIR epidemic model. Zbl 1467.37093
Wu, Shi-Liang; Chen, Linya; Hsu, Cheng-Hsiung
2021
Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. Zbl 1471.65102
Hu, Dongdong; Cai, Wenjun; Fu, Yayun; Wang, Yushun
2021
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front. Zbl 1471.65123
Lukyanenko, D. V.; Borzunov, A. A.; Shishlenin, M. A.
2021
A new class of nonlinear superposition between lump waves and other waves for Kadomtsev-Petviashvili I equation. Zbl 1473.35495
Zhang, Zhao; Guo, Qi; Li, Biao; Chen, Junchao
2021
A deep learning improved numerical method for the simulation of rogue waves of nonlinear Schrödinger equation. Zbl 1480.35363
Wang, Rui-Qi; Ling, Liming; Zeng, Delu; Feng, Bao-Feng
2021
Variable-order fractional calculus: a change of perspective. Zbl 1471.26002
Garrappa, Roberto; Giusti, Andrea; Mainardi, Francesco
2021
Modeling the impact of SARS-CoV-2 variants and vaccines on the spread of COVID-19. Zbl 1470.92340
Ramos, A. M.; Vela-Pérez, M.; Ferrández, M. R.; Kubik, A. B.; Ivorra, B.
2021
Analysis of mixed traffic with connected and non-connected vehicles based on lattice hydrodynamic model. Zbl 1453.82048
Zhang, Yicai; Zhao, Min; Sun, Dihua; Wang, Shi hui; Huang, Shuai; Chen, Dong
2021
Investigation of solitons and mixed lump wave solutions with $$(3+1)$$-dimensional potential-YTSF equation. Zbl 1456.37078
Younis, Muhammad; Ali, Safdar; Rizvi, Syed Tahir Raza; Tantawy, Mohammad; Tariq, Kalim U.; Bekir, Ahmet
2021
Dynamics of a seasonal brucellosis disease model with nonlocal transmission and spatial diffusion. Zbl 1453.92332
Yang, Junyuan; Xu, Rui; Sun, Hongquan
2021
Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation. Zbl 1454.35318
Benoudina, Nardjess; Zhang, Yi; Khalique, Chaudry Masood
2021
CAR T cell therapy in B-cell acute lymphoblastic leukaemia: insights from mathematical models. Zbl 1461.92043
León-Triana, Odelaisy; Sabir, Soukaina; Calvo, Gabriel F.; Belmonte-Beitia, Juan; Chulián, Salvador; Martínez-Rubio, Álvaro; Rosa, María; Pérez-Martínez, Antonio; Ramirez-Orellana, Manuel; Pérez-García, Víctor M.
2021
Synchronization analysis of two eccentric rotors with double-frequency excitation considering sliding mode control. Zbl 1453.93041
Zou, Min; Fang, Pan; Hou, Yongjun; Wang, Yuanguo; Hou, Duyu; Peng, Huan
2021
Collective behavior of a nearest neighbor coupled system in a dichotomous fluctuating potential. Zbl 1453.82068
Zhang, Lu; Xu, Ling; Yu, Tao; Lai, Li; Zhong, Suchuan
2021
(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. Zbl 1466.78019
Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L.
2021
Bistable labyrinth-like structures and chimera states in a 2D lattice of van der Pol oscillators. Zbl 1456.34035
Shepelev, Igor A.; Anishchenko, V. S.
2021
Two-dimensional vortex quantum droplets get thick. Zbl 1452.35190
Lin, Zeda; Xu, Xiaoxi; Chen, Zikang; Yan, Ziteng; Mai, Zhijie; Liu, Bin
2021
Stability analysis in COVID-19 within-host model with immune response. Zbl 1457.92155
Almocera, Alexis Erich S.; Quiroz, Griselda; Hernandez-Vargas, Esteban A.
2021
Dynamical analysis for a reaction-diffusion HFMD model with nonsmooth saturation treatment function. Zbl 1466.92206
Shi, Lei; Zhao, Hongyong; Wu, Daiyong
2021
A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity. Zbl 1473.74067
Zang, Jian; Cao, Run-Qing; Zhang, Ye-Wei; Fang, Bo; Chen, Li-Qun
2021
An unconditionally stable scheme for the Allen-Cahn equation with high-order polynomial free energy. Zbl 1459.65147
Lee, Chaeyoung; Kim, Hyundong; Yoon, Sungha; Kim, Sangkwon; Lee, Dongsun; Park, Jinate; Kwak, Soobin; Yang, Junxiang; Wang, Jian; Kim, Junseok
2021
An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives. Zbl 1458.60073
Hyder, Abd-Allah; Soliman, Ahmed H.
2021
Introducing phase jump tracking – a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem. Zbl 1462.35348
Chekhovskoy, Igor; Medvedev, S. B.; Vaseva, I. A.; Sedov, E. V.; Fedoruk, M. P.
2021
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