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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: 5,459 Publications (since 1996)
References Indexed: 5,116 Publications with 155,854 References.
all top 5

Authors

46 Machado, José António Tenreiro
34 Hayat, Tasawar
32 Guo, Boling
30 Băleanu, Dumitru I.
30 Biswas, Anjan
28 Sanjuán, Miguel A. F.
28 Wazwaz, Abdul-Majid Abdul-Rahman
27 Luo, Albert C. J.
26 Ibragimov, Nail Hairullovich
25 Shang, Pengjian
23 Kudryashov, Nikolaĭ Alekseevich
23 Liao, Shijun
23 Tian, Bo
22 Meleshko, Sergey V.
21 Abbasbandy, Saeid
20 Xu, Wei
20 Zhong, Shou-Ming
18 Yu, Pei
17 Malomed, Boris A.
17 Rand, Richard H.
16 Chen, Guanrong
16 Macías-Díaz, Jorge Eduardo
15 Cao, Jinde
15 Gandarias Núñez, Maria Luz
15 Tarasov, Vasily E.
15 Vajravelu, Kuppalapalle
15 Wang, Jinrong
14 Chen, Lansun
14 He, Jihuan
14 Wang, Jiang
14 Wang, Ke
13 Awrejcewicz, Jan
13 Li, Yongkun
13 Ma, Jun
13 Ruan, Jiong
13 Wang, Xingyuan
13 Yamapi, René
12 Bowong, Samuel
12 Deng, Bin
12 Khalique, Chaudry Masood
12 Lü, Xing
12 Ma, Wen-Xiu
12 Maleknejad, Khosrow
12 Sun, Jianqiao
12 Tian, Lixin
12 van Gorder, Robert Ashton
11 Asghar, Saleem
11 Chen, Guoqian
11 Chen, Yong
11 Fu, Xilin
11 He, Jingsong
11 Kim, Junseok
11 Kofané, Timoléon Crépin
11 Li, Houqiang
11 Lin, Chang
11 Ma, Junhai
11 Noorani, Mohd Salmi Mohd
11 O’Regan, Donal
11 Pop, Ioan
11 Wei, Xile
11 Woafo, Paul
11 Zaslavskiĭ, Georgiĭ Moiseevich
11 Zhang, Hongqing
10 Akhmet, Marat Ubaydulla
10 Algaba, Antonio
10 Balasubramaniam, Pagavathigounder
10 Batista, Antonio Marcos
10 Bi, Qinsheng
10 Dehghan Takht Fooladi, Mehdi
10 Fečkan, Michal
10 Kevrekidis, Panayotis G.
10 Kurths, Jürgen
10 Li, Xiaodi
10 Liao, Xiaofeng
10 Lopes, António M.
10 Masdemont, Josep J.
10 Ramm, Alexander G.
10 Ryashko, Lev Borisovich
10 Tchawoua, Clement
10 Wong, Kwokwo
10 Xiao, Di
9 Agarwal, Ravi P.
9 Ayub, Muhammad
9 Bashkirtseva, Irina Adol’fovna
9 Bruzón, Maria Santos
9 Butcher, Eric A.
9 Cao, Hongjun
9 Fang, Tiegang
9 Gao, Yitian
9 Gómez, Gerard
9 Hashim, Ishak
9 Kovacic, Ivana
9 Liu, Xinzhi
9 Lu, Qishao
9 Nigmatullin, Raoul R.
9 Ortigueira, Manuel D.
9 Pal, Dulal
9 Park, Juhyun (Jessie)
9 Piqueira, José Roberto Castilho
9 Sophocleous, Christodoulos
...and 8,259 more Authors
all top 5

Fields

1,446 Partial differential equations (35-XX)
1,226 Ordinary differential equations (34-XX)
1,175 Dynamical systems and ergodic theory (37-XX)
764 Biology and other natural sciences (92-XX)
708 Numerical analysis (65-XX)
707 Fluid mechanics (76-XX)
641 Systems theory; control (93-XX)
382 Mechanics of particles and systems (70-XX)
302 Mechanics of deformable solids (74-XX)
291 Statistical mechanics, structure of matter (82-XX)
225 Probability theory and stochastic processes (60-XX)
223 Information and communication theory, circuits (94-XX)
203 Real functions (26-XX)
192 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
188 Optics, electromagnetic theory (78-XX)
164 General and overarching topics; collections (00-XX)
161 Computer science (68-XX)
137 Operations research, mathematical programming (90-XX)
117 Statistics (62-XX)
117 Classical thermodynamics, heat transfer (80-XX)
110 Quantum theory (81-XX)
79 Integral equations (45-XX)
76 Geophysics (86-XX)
74 Calculus of variations and optimal control; optimization (49-XX)
63 Operator theory (47-XX)
62 Difference and functional equations (39-XX)
48 Special functions (33-XX)
44 Measure and integration (28-XX)
37 Combinatorics (05-XX)
37 Astronomy and astrophysics (85-XX)
28 Global analysis, analysis on manifolds (58-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
21 Relativity and gravitational theory (83-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Integral transforms, operational calculus (44-XX)
18 Approximations and expansions (41-XX)
11 Number theory (11-XX)
11 Nonassociative rings and algebras (17-XX)
11 Differential geometry (53-XX)
10 Functions of a complex variable (30-XX)
9 General topology (54-XX)
6 Functional analysis (46-XX)
5 History and biography (01-XX)
4 Mathematical logic and foundations (03-XX)
4 Topological groups, Lie groups (22-XX)
2 Field theory and polynomials (12-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-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)

Publications by Year

Citations contained in zbMATH Open

3,329 Publications have been cited 26,729 times in 16,972 Documents Cited by Year
Recent history of fractional calculus. Zbl 1221.26002
Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco
337
2011
Notes on the homotopy analysis method: some definitions and theorems. Zbl 1221.65126
Liao, Shijun
228
2009
Homotopy analysis method for fractional IVPs. Zbl 1221.65277
Hashim, I.; Abdulaziz, O.; Momani, S.
163
2009
On the concept and existence of solution for impulsive fractional differential equations. Zbl 1252.35277
Fečkan, Michal; Zhou, Yong; Wang, Jinrong
148
2012
An optimal homotopy-analysis approach for strongly nonlinear differential equations. Zbl 1222.65088
Liao, Shijun
132
2010
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
127
2015
Fractional calculus in viscoelasticity: an experimental study. Zbl 1221.74012
Meral, F. C.; Royston, T. J.; Magin, R.
116
2010
Homotopy analysis method for quadratic Riccati differential equation. Zbl 1132.34305
Tan, Yue; Abbasbandy, Saeid
115
2008
One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055
Kudryashov, Nikolay A.
107
2012
Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342
Kudryashov, Nikolai A.
103
2009
An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Zbl 1078.76022
Liao, Shijun
97
2006
On the numerical solutions for the fractional diffusion equation. Zbl 1221.65263
Khader, M. M.
95
2011
Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. Zbl 1221.49038
Almeida, Ricardo; Torres, Delfim F. M.
93
2011
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
93
2011
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. Zbl 1221.93091
Wang, Xing-Yuan; Song, Jun-Mei
91
2009
Solving a nonlinear fractional differential equation using Chebyshev wavelets. Zbl 1222.65087
Li, Yuanlu
87
2010
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
87
2012
Fractional Poisson process. Zbl 1025.35029
Laskin, Nick
82
2003
New solitons and kink solutions for the Gardner equation. Zbl 1118.35352
Wazwaz, Abdul-Majid
79
2007
No violation of the Leibniz rule. No fractional derivative. Zbl 1329.26015
Tarasov, Vasily E.
78
2013
Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet. Zbl 1335.45002
Zhu, Li; Fan, Qibin
76
2012
On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Zbl 1221.93230
Rafikov, Marat; Balthazar, José Manoel
74
2008
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
74
2012
Be careful with the Exp-function method. Zbl 1221.35344
Kudryashov, Nikolai A.; Loguinova, Nadejda B.
72
2009
The uniqueness of positive solution for a singular fractional differential system involving derivatives. Zbl 1283.34006
Zhang, Xinguang; Liu, Lishan; Wu, Yonghong
71
2013
Stability analysis of a prey-predator model incorporating a prey refuge. Zbl 1064.92045
Kar, Tapan Kumar
70
2005
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
69
2008
The Legendre wavelet method for solving fractional differential equations. Zbl 1222.65063
Ur Rehman, Mujeeb; Ali Khan, Rahmat
68
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.
65
2010
Some applications of fractional equations. Zbl 1041.35073
Weitzner, H.; Zaslavsky, G. M.
64
2003
Synchronization of different fractional order chaotic systems using active control. Zbl 1222.94031
Bhalekar, Sachin; Daftardar-Gejji, Varsha
63
2010
The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015
Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar
63
2012
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. Zbl 1221.65278
Jafari, H.; Seifi, S.
62
2009
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
60
2009
A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations. Zbl 1226.65062
Esmaeili, Shahrokh; Shamsi, M.
60
2011
A theory for synchronization of dynamical systems. Zbl 1221.37218
Luo, Albert C. J.
59
2009
Design of sliding mode controller for a class of fractional-order chaotic systems. Zbl 1248.93041
Yin, Chun; Zhong, Shou-ming; Chen, Wu-fan
58
2012
Lie symmetry analysis to the time fractional generalized fifth-order KdV equation. Zbl 1304.35624
Wang, Gang-wei; Liu, Xi-qiang; Zhang, Ying-yuan
58
2013
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
56
2006
On “new travelling wave solutions” of the KdV and the KdV-Burgers equations. Zbl 1221.35343
Kudryashov, Nikolai A.
56
2009
New travelling wave solutions to the Boussinesq and the Klein-Gordon equations. Zbl 1221.35372
Wazwaz, Abdul-Majid
55
2008
Positive solutions to singular fractional differential system with coupled boundary conditions. Zbl 1329.34010
Jiang, Jiqiang; Liu, Lishan; Wu, Yonghong
54
2013
Lyapunov functions for fractional order systems. Zbl 07175104
Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Gallegos, Javier A.
54
2014
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.
53
2007
How to impose physically coherent initial conditions to a fractional system? Zbl 1221.34019
Sabatier, Jocelyn; Merveillaut, Mathieu; Malti, Rachid; Oustaloup, Alain
53
2010
New concepts and results in stability of fractional differential equations. Zbl 1252.35276
Wang, Jinrong; Lv, Linli; Zhou, Yong
53
2012
Approximate controllability of nonlinear fractional dynamical systems. Zbl 1344.93019
Sakthivel, R.; Ganesh, R.; Ren, Yong; Anthoni, S. M.
52
2013
The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage. Zbl 1221.34034
Li, Yongfeng; Cui, Jingan
52
2009
Fractional dynamics of systems with long-range interaction. Zbl 1106.35103
Tarasov, Vasily E.; Zaslavsky, George M.
51
2006
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.
51
2009
Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215
Balachandran, K.; Kiruthika, S.; Trujillo, J. J.
51
2011
Modified fractional Euler method for solving fuzzy fractional initial value problem. Zbl 1253.35208
Mazandarani, Mehran; Kamyad, Ali Vahidian
51
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.
50
2011
An approximate solution technique depending on an artificial parameter: A special example. Zbl 0921.35009
He, Jihuan
50
1998
A sliding mode control for linear fractional systems with input and state delays. Zbl 1221.93048
Si-Ammour, Amar; Djennoune, Said; Bettayeb, Maamar
49
2009
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.
48
2011
Adiabatic parameter dynamics of perturbed solitary waves. Zbl 1221.35321
Antonova, Mariana; Biswas, Anjan
48
2009
Finite-time chaos control via nonsingular terminal sliding mode control. Zbl 1221.37225
Wang, Hua; Han, Zheng-Zhi; Xie, Qi-Yue; Zhang, Wei
48
2009
Complete controllability of fractional evolution systems. Zbl 1248.93029
Wang, Jinrong; Zhou, Yong
48
2012
A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces. Zbl 1223.45007
Wang, Jinrong; Zhou, Yong; Wei, W.
48
2011
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
48
2011
Finite-time synchronization control of complex dynamical networks with time delay. Zbl 1311.34157
Mei, Jun; Jiang, Minghui; Xu, Wangming; Wang, Bin
48
2013
Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160
Kudryashov, Nikolai A.
47
2010
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.
47
2014
Solution of the MHD Falkner-Skan flow by homotopy analysis method. Zbl 1221.76133
Abbasbandy, S.; Hayat, T.
47
2009
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
47
2018
Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006
Abdeljawad, Thabet; Baleanu, Dumitru
46
2011
Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations. Zbl 1244.65243
Maleknejad, Khosrow; Hashemizadeh, Elham; Basirat, B.
46
2012
Solving a system of nonlinear fractional partial differential equations using homotopy analysis method. Zbl 1221.35439
Jafari, H.; Seifi, S.
45
2009
Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials. Zbl 1266.65115
Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi
45
2012
Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Zbl 1286.34106
Li, Xiaodi; Rakkiyappan, R.
44
2013
Bifurcations of fuzzy nonlinear dynamical systems. Zbl 1078.37049
Hong, Ling; Sun, Jian-Qiao
44
2006
The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms. Zbl 1221.35373
Wazwaz, Abdul-Majid
44
2008
Synchronization of the unified chaotic system and application in secure communication. Zbl 1221.94047
Grzybowski, J. M. V.; Rafikov, M.; Balthazar, J. M.
44
2009
A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. Zbl 1244.65099
Bhrawy, Ali H.; Alofi, A. S.
44
2012
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.
44
2012
Viscous flow over a shrinking sheet with a second order slip flow model. Zbl 1222.76028
Fang, Tiegang; Yao, Shanshan; Zhang, Ji; Aziz, Abdul
42
2010
A new spectral-homotopy analysis method for solving a nonlinear second order BVP. Zbl 1222.65090
Motsa, S. S.; Sibanda, P.; Shateyi, S.
42
2010
Adaptive synchronization under almost every initial data for stochastic neural networks with time-varying delays and distributed delays. Zbl 1221.93247
Zhu, Quanxin; Cao, Jinde
42
2011
Homotopy analysis method for singular IVPs of Emden-Fowler type. Zbl 1221.65197
Bataineh, A. Sami; Noorani, M. S. M.; Hashim, I.
42
2009
Closed-form exact solutions of MHD viscous flow over a shrinking sheet. Zbl 1221.76142
Fang, Tiegang; Zhang, Ji
42
2009
Exponential stability of second-order stochastic evolution equations with Poisson jumps. Zbl 1273.60077
Sakthivel, R.; Ren, Y.
42
2012
Two positive solutions for \((n - 1,1)\)-type semipositone integral boundary value problems for coupled systems of nonlinear fractional differential equations. Zbl 1248.35225
Yuan, Chengjun
42
2012
On the \(\psi\)-Hilfer fractional derivative. Zbl 07265164
Vanterler da C. Sousa, J.; Capelas de Oliveira, E.
42
2018
A collocation-shooting method for solving fractional boundary value problems. Zbl 1222.65078
Al-Mdallal, Qasem M.; Syam, Muhammed I.; Anwar, M. N.
41
2010
Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation. Zbl 1221.65281
Liang, Songxin; Jeffrey, David J.
41
2009
A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Zbl 1221.34008
Baleanu, Dumitru; Trujillo, Juan I.
41
2010
A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation. Zbl 1221.65334
Maleknejad, K.; Hashemizadeh, E.; Ezzati, R.
41
2011
Anti-synchronization control of a class of memristive recurrent neural networks. Zbl 1279.94157
Wu, Ailong; Zeng, Zhigang
41
2013
Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller. Zbl 1248.93146
Aghababa, Mohammad Pourmahmood
41
2012
Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets. Zbl 1221.65140
Saeedi, H.; Moghadam, M. Mohseni
40
2011
Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit. Zbl 1221.93227
Matouk, A. E.
39
2011
The existence of solutions for boundary value problem of fractional hybrid differential equations. Zbl 1352.34011
Sun, Shurong; Zhao, Yige; Han, Zhenlai; Li, Yanan
39
2012
A theory for non-smooth dynamic systems on the connectable domains. Zbl 1065.34007
Luo, Albert C. J.
39
2005
Multiplicity of solutions for nonlinear second order impulsive differential equations with linear derivative dependence via variational methods. Zbl 1251.34046
Xiao, Jing; Nieto, Juan J.; Luo, Zhiguo
39
2012
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.
39
2012
The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models. Zbl 1221.65178
Wazwaz, Abdul-Majid
39
2011
Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response. Zbl 1221.34152
Liu, Meng; Wang, Ke
38
2011
Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi’s elliptic function method. Zbl 1261.35044
Bhrawy, A. H.; Abdelkawy, M. A.; Biswas, Anjan
38
2013
On the design of chaos-based secure communication systems. Zbl 1225.94002
Zaher, Ashraf A.; Abu-Rezq, Abdulnasser
38
2011
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
4
2021
Convergence of a generalized penalty method for variational-hemivariational inequalities. Zbl 07274884
Zeng, Shengda; Migórski, Stanisław; Liu, Zhenhai; Yao, Jen-Chih
3
2021
(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. Zbl 1466.78019
Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L.
3
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.
3
2021
Nonlinear stability issues for stochastic Runge-Kutta methods. Zbl 1455.65014
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
3
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.
3
2021
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 07348055
Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro
3
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.; Tenreiro Machado, J. A.
2
2021
A robust and contact preserving flux splitting scheme for compressible flows. Zbl 1452.65190
Hu, Lijun; Feng, Sebert
2
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.
2
2021
Dynamic transport: from bifurcation to multistability. Zbl 1458.37089
Li, Chunbiao; Chen, Guanrong; Kurths, Jürgen; Lei, Tengfei; Liu, Zuohua
2
2021
Complex-order particle swarm optimization. Zbl 1454.90116
Tenreiro Machado, J. A.; Abedi Pahnehkolaei, Seyed Mehdi; Alfi, Alireza
1
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
1
2021
Spatiotemporal pattern formation in 2D prey-predator system with nonlocal intraspecific competition. Zbl 1452.35223
Pal, Swadesh; Petrovskii, Sergei; Ghorai, S.; Banerjee, Malay
1
2021
Relaxation modes of a system of diffusion coupled oscillators with delay. Zbl 1458.34122
Kashchenko, A. A.
1
2021
Characterization of long-term behavior of stochastic NP ecological model under regime switching. Zbl 1458.34094
Tuong, Tran D.; Nguyen, Nhu N.
1
2021
Müntz pseudo-spectral method: theory and numerical experiments. Zbl 1453.65358
Khosravian-Arab, Hassan; Eslahchi, M. R.
1
2021
Solitons and cavitons in a nonlocal Whitham equation. Zbl 1456.76032
Kulagin, N.; Lerman, L.; Malkin, A.
1
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
1
2021
Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem. Zbl 1455.65113
Salahshour, Soheil; Ahmadian, Ali; Pansera, Bruno A.; Ferrara, Massimiliano
1
2021
Traveling chimera states in continuous media. Zbl 1455.74010
Alvarez-Socorro, Alejandro J.; Clerc, M. G.; Verschueren, N.
1
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
1
2021
Self-organizations with fast-slow time scale in a memristor-based Shinriki’s circuit. Zbl 07280107
Rao, Xiao-Bo; Zhao, Xu-Ping; Gao, Jian-She; Zhang, Jian-Gang
1
2021
On inhomogeneous nonholonomic Bilimovich system. Zbl 1455.37053
Borisov, A. V.; Tsiganov, A. V.; Mikishanina, E. A.
1
2021
Kink-antikink collisions in the periodic \(\varphi^4\) model. Zbl 1454.83144
Mohammadi, Mohammad; Dehghani, Rayhaneh
1
2021
Coupling correlation detrended analysis for multiple nonstationary series. Zbl 1454.62274
Wang, Fang; Fan, Qingju
1
2021
Regulating synchronous patterns in neurons and networks via field coupling. Zbl 1458.37106
Yao, Zhao; Wang, Chunni; Zhou, Ping; Ma, Jun
1
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.
1
2021
A test for fractal boundaries based on the basin entropy. Zbl 1457.37034
Puy, Andreu; Daza, Alvar; Wagemakers, Alexandre; Sanjuán, Miguel A. F.
1
2021
Dynamical analysis for a reaction-diffusion HFMD model with nonsmooth saturation treatment function. Zbl 1466.92206
Shi, Lei; Zhao, Hongyong; Wu, Daiyong
1
2021
Superexponential interactions and the dynamical unfolding of confined degrees of freedom. Zbl 1455.81049
Schmelcher, Peter
1
2021
Fractional-order models for the static and dynamic analysis of nonlocal plates. Zbl 1459.74112
Patnaik, Sansit; Sidhardh, Sai; Semperlotti, Fabio
1
2021
Global dynamics of a non-smooth system with elastic and rigid impacts and dry friction. Zbl 1455.74070
Li, Guofang; Wu, Shaopei; Wang, Hongbing; Ding, Wangcai
1
2021
The damping accumulated grey model and its application. Zbl 1457.62269
Liu, Lianyi; Chen, Yan; Wu, Lifeng
1
2021
Bifurcation of limit cycles near heteroclinic loops in near-Hamiltonian systems. Zbl 1461.34062
Geng, Wei; Tian, Yun
1
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.
1
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.
1
2021
Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. Zbl 07348061
Hu, Dongdong; Cai, Wenjun; Fu, Yayun; Wang, Yushun
1
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 07348082
Lukyanenko, D. V.; Borzunov, A. A.; Shishlenin, M. A.
1
2021
Non-Debye relaxations: smeared time evolution, memory effects, and the Laplace exponents. Zbl 07348093
Górska, K.; Horzela, A.; Pogány, T. K.
1
2021
Necklace beams carrying fractional angular momentum in fractional systems with a saturable nonlinearity. Zbl 1462.81077
Dong, Liangwei; Liu, Dongshuai; Qi, Wei; Wang, Linxue; Zhou, Hui; Peng, Ping; Huang, Changming
1
2021
A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics. Zbl 1464.74122
Chen, Tao; Huang, Nan-jing; Li, Xue-song; Zou, Yun-zhi
1
2021
Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment. Zbl 1451.92317
Wang, Jinliang; Xie, Fanglin; Kuniya, Toshikazu
8
2020
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.
8
2020
Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations. Zbl 1452.65268
Babaei, A.; Moghaddam, B. P.; Banihashemi, S.; Machado, J. A. T.
5
2020
Global Mittag-Leffler stability analysis of impulsive fractional-order complex-valued BAM neural networks with time varying delays. Zbl 1454.34102
Syed Ali, M.; Narayanan, G.; Shekher, Vineet; Alsaedi, Ahmed; Ahmad, Bashir
5
2020
Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation. Zbl 1456.35178
Chen, Si-Jia; Ma, Wen-Xiu; Lü, Xing
5
2020
Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit. Zbl 07265384
Lai, Qiang; Wan, Zhiqiang; Kamdem Kuate, Paul Didier; Fotsin, Hilaire
5
2020
Understanding cumulative sum operator in grey prediction model with integral matching. Zbl 1451.93211
Wei, Baolei; Xie, Naiming; Yang, Lu
4
2020
Numerical treatment of non-linear fourth-order distributed fractional sub-diffusion equation with time-delay. Zbl 1452.65172
Nandal, Sarita; Narain Pandey, Dwijendra
4
2020
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation. Zbl 1450.35115
Xia, Jun-Wen; Zhao, Yi-Wei; Lü, Xing
4
2020
Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation. Zbl 1462.35328
Yan, Zhaowen; Lou, Senyue
4
2020
Nonlinear bending of functionally graded sandwich plates under mechanical and thermal load. Zbl 1450.74026
Yoosefian, A. R.; Golmakani, M. E.; Sadeghian, M.
3
2020
A bistable nonvolatile locally-active memristor and its complex dynamics. Zbl 1451.78032
Dong, Yujiao; Wang, Guangyi; Chen, Guanrong; Shen, Yiran; Ying, Jiajie
3
2020
Adaptive finite-time synchronization control for fractional-order complex-valued dynamical networks with multiple weights. Zbl 1451.93206
Xu, Yao; Li, Yanzhen; Li, Wenxue
3
2020
Non-topological kink scattering in a two-component scalar field theory model. Zbl 1454.81130
Alonso-Izquierdo, A.
3
2020
Global stability of a delayed adaptive immunity viral infection with two routes of infection and multi-stages of infected cells. Zbl 1451.92284
Elaiw, A. M.; AlShamrani, N. H.
3
2020
Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions. Zbl 1450.35297
Zhang, Guoqiang; Chen, Shuyan; Yan, Zhenya
3
2020
Phase-amplitude dynamics in terms of extended response functions: invariant curves and Arnold tongues. Zbl 1467.37078
Castejón, Oriol; Guillamon, Antoni
3
2020
Signal propagation in electromagnetic media described by fractional-order models. Zbl 1451.78013
Stefański, Tomasz P.; Gulgowski, Jacek
3
2020
Synchronization for impulsive hybrid-coupled reaction-diffusion neural networks with time-varying delays. Zbl 1450.35284
Wu, Kaixiong; Li, Bing; Du, Yuwei; Du, Shishi
3
2020
Survivability and stochastic bifurcations for a stochastic Holling type II predator-prey model. Zbl 1453.92282
Zou, Xiaoling; Zheng, Yuting; Zhang, Liren; Lv, Jingliang
3
2020
Statics and dynamics of a nonlinear oscillator with quasi-zero stiffness behaviour for large deflections. Zbl 07265150
Gatti, Gianluca
3
2020
An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations. Zbl 1455.76138
Yang, Junxiang; Kim, Junseok
3
2020
Transport and invariant manifolds near L\(_3\) in the Earth-Moon bicircular model. Zbl 07265375
Jorba, Àngel; Nicolás, Begoña
3
2020
On well-posedness of the sub-diffusion equation with conformable derivative model. Zbl 1450.35276
Nguyen Huy Tuan; Tran Bao Ngoc; Baleanu, Dumitru; O’Regan, Donal
3
2020
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint. Zbl 1444.35140
Ji, Bingquan; Liao, Hong-lin; Gong, Yuezheng; Zhang, Luming
3
2020
Chaotic dynamics in a neural network with different types of external stimuli. Zbl 1453.92016
Lin, Hairong; Wang, Chunhua; Yao, Wei; Tan, Yumei
3
2020
Event-triggered synchronization in fixed time for semi-Markov switching dynamical complex networks with multiple weights and discontinuous nonlinearity. Zbl 1451.93242
Liu, Jie; Wu, Huaiqin; Cao, Jinde
3
2020
Limit cycles bifurcating of Kolmogorov systems in \(\mathbb{R}^2\) and in \(\mathbb{R}^3\). Zbl 1457.37067
Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia
3
2020
Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: a quantitative study. Zbl 1451.92083
Cusimano, Nicole; Gizzi, A.; Fenton, Flavio H.; Filippi, S.; Gerardo-Giorda, L.
2
2020
Modelling of both energy and volume conservative chaotic systems and their mechanism analyses. Zbl 1460.70024
Qi, Guoyuan; Hu, Jianbing
2
2020
Solving the lexicographic multi-objective mixed-integer linear programming problem using branch-and-bound and grossone methodology. Zbl 1451.90140
Cococcioni, Marco; Cudazzo, Alessandro; Pappalardo, Massimo; Sergeyev, Yaroslav D.
2
2020
Rumor model on homogeneous social network incorporating delay in expert intervention and government action. Zbl 1450.91028
Jain, Ankur; Dhar, Joydip; Gupta, Vijay
2
2020
Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields. Zbl 1460.76773
Bai, Feng; Han, Daozhi; He, Xiaoming; Yang, Xiaofeng
2
2020
Implicit analytic solutions for a nonlinear fractional partial differential beam equation. Zbl 1450.74023
Liaskos, Konstantinos B.; Pantelous, Athanasios A.; Kougioumtzoglou, Ioannis A.; Meimaris, Antonios T.; Pirrotta, Antonina
2
2020
Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation. Zbl 1453.34020
Fleurantin, Emmanuel; James, J. D. Mireles
2
2020
Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE. Zbl 1450.35267
Hassani, Hossein; Tenreiro Machado, J. A.; Avazzadeh, Zakieh; Naraghirad, E.
2
2020
Turing-Hopf bifurcation of reaction-diffusion neural networks with leakage delay. Zbl 1450.35049
Lin, Jiazhe; Xu, Rui; Li, Liangchen
2
2020
Nonlocal hydrodynamic type of equations. Zbl 1450.35014
Gürses, Metin; Pekcan, Aslı; Zheltukhin, Kostyantyn
2
2020
Excitatory autapse induces different cases of reduced neuronal firing activities near Hopf bifurcation. Zbl 1451.92081
Zhao, Zhiguo; Li, Li; Gu, Huaguang
2
2020
Primal-dual active set method for pricing American better-of option on two assets. Zbl 1450.35258
Gao, Yu; Song, Haiming; Wang, Xiaoshen; Zhang, Kai
2
2020
On the viscous instabilities and transitions of two-layer model with a layered topography. Zbl 1444.76055
Pan, Zhigang; Sengul, Taylan; Wang, Quan
2
2020
Asymptotic stability conditions for autonomous time-fractional reaction-diffusion systems. Zbl 1450.35056
Douaifia, Redouane; Abdelmalek, Salem; Bendoukha, Samir
2
2020
Computation of all the coefficients for the global connections in the \(\mathbb{Z}_2\)-symmetric Takens-Bogdanov normal forms. Zbl 1453.37045
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
2
2020
A new approach to the \(Z\)-transform through infinite computation. Zbl 1459.40007
Caldarola, Fabio; Maiolo, Mario; Solferino, Viviana
2
2020
Multi-soliton solutions for a nonlocal complex coupled dispersionless equation. Zbl 1450.35114
Ji, Jia-Liang; Yang, Jun; Zhu, Zuo-Nong
2
2020
Exact solutions to \({\displaystyle\max_{\Vert x\Vert=1}\sum_{i=1}^\infty\Vert T_i(x) \Vert^2}\) with applications to physics, bioengineering and statistics. Zbl 07265079
Garcia-Pacheco, Francisco Javier; Cobos-Sanchez, Clemente; Moreno-Pulido, Soledad; Sanchez-Alzola, Alberto
2
2020
Solitons, breathers and rogue waves of the coupled Hirota system with \(4\times 4\) Lax pair. Zbl 1451.35198
Sun, Wen-Rong; Wang, Lei
2
2020
Switching thresholds for multistable systems under strong external perturbation. Zbl 1453.37085
Klinshov, Vladimir; Nekorkin, Vladimir
2
2020
The new exact solution of the compressible 3D Navier-Stokes equations. Zbl 1453.35136
Chefranov, Sergei G.; Chefranov, Artem S.
2
2020
Optimal control of a fractional order model for granular SEIR epidemic with uncertainty. Zbl 1454.34072
Dong, Nguyen Phuong; Long, Hoang Viet; Khastan, Alireza
2
2020
Existence of multiple positive periodic solutions for discrete hematopoiesis models with a unimodal production function. Zbl 1451.37113
Sugie, Jitsuro; Yan, Yan
2
2020
Freak chimera states in a locally coupled Duffing oscillators chain. Zbl 1455.34031
Clerc, M. G.; Coulibaly, S.; Ferré, M. A.
2
2020
Spatiotemporal dynamics of a diffusive predator-prey model with nonlocal effect and delay. Zbl 1450.35051
Wu, Shuhao; Song, Yongli
2
2020
Exploring isomerization dynamics on a potential energy surface with an index-2 saddle using Lagrangian descriptors. Zbl 07265378
García-Garrido, Víctor J.; Agaoglou, Makrina; Wiggins, Stephen
2
2020
Shallow water equations in Lagrangian coordinates: symmetries, conservation laws and its preservation in difference models. Zbl 1450.76024
Dorodnitsyn, V. A.; Kaptsov, E. I.
2
2020
Atom scattering off a vibrating surface: an example of chaotic scattering with three degrees of freedom. Zbl 1453.37078
Gonzalez Montoya, Francisco; Borondo, Florentino; Jung, Christof
2
2020
On robust stability of incommensurate fractional-order systems. Zbl 1451.93287
Tavazoei, Mohammad; Asemani, Mohammad Hassan
2
2020
An epidemic model highlighting humane social awareness and vector-host lifespan ratio variation. Zbl 1453.92329
Wijaya, Karunia Putra; Páez Chávez, Joseph; Aldila, Dipo
2
2020
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Cited by 19,254 Authors

243 Hayat, Tasawar
156 Băleanu, Dumitru I.
121 Zhong, Shou-Ming
114 Cao, Jinde
97 Dehghan Takht Fooladi, Mehdi
94 Biswas, Anjan
92 Al-saedi, Ahmed Eid Salem
90 Machado, José António Tenreiro
89 Wazwaz, Abdul-Majid Abdul-Rahman
79 Kudryashov, Nikolaĭ Alekseevich
78 Abbasbandy, Saeid
73 Park, Juhyun (Jessie)
70 Bhrawy, Ali Hassan
70 Khalique, Chaudry Masood
66 Agarwal, Ravi P.
65 Wang, Jinrong
61 van Gorder, Robert Ashton
60 Ahmad, Bashir
58 Vaidyanathan, Sundarapandian
54 Pop, Ioan
51 Vajravelu, Kuppalapalle
49 Ganji, Davood Domiri
48 Hashim, Ishak
48 Sajid, Muhammad
47 Nieto Roig, Juan Jose
46 Nadeem, Sohail
45 Khader, Mohamed M.
44 Balasubramaniam, Pagavathigounder
44 Maleknejad, Khosrow
44 Sun, Shurong
44 Tarasov, Vasily E.
44 Wang, Xingyuan
43 Li, Yongkun
43 Noorani, Mohd Salmi Mohd
43 Teng, Zhi-dong
42 Sakthivel, Rathinasamy
42 Zhu, Quanxin
41 Liao, Shijun
41 Wu, Yonghong
40 Fang, Jian’an
40 Han, Zhenlai
40 Motsa, Sandile Sydney
40 O’Regan, Donal
40 Zhou, Yong
39 Liu, Lishan
39 Liu, Xinzhi
38 Asghar, Saleem
38 Jiang, Haijun
38 Rashidi, Mohammad Mehdi
37 Sibanda, Precious
36 Chen, Guanrong
35 Macías-Díaz, Jorge Eduardo
35 Rakkiyappan, Rajan
34 Doha, Eid H.
34 Luo, Albert C. J.
34 Momani, Shaher M.
34 Zhang, Fuchen
33 Bekir, Ahmet
33 Li, Xiaodi
32 Ma, Wen-Xiu
32 Pham, Viet-Thanh
32 Zhou, Wuneng
31 Hu, Cheng
31 Ordokhani, Yadollah
31 Xu, Wei
30 Chen, Fengde
30 Kwon, O. M.
30 Liao, Xiaofeng
30 Yıldırım, Ahmet
29 Bruzón, Maria Santos
29 Gandarias Núñez, Maria Luz
29 Huang, Tingwen
29 Kiliçman, Adem
29 Parand, Kourosh
29 Ramm, Alexander G.
28 Jiang, Yaolin
28 Kurths, Jürgen
28 Xu, Changjin
28 Zhao, Min
27 Abbaszadeh, Mostafa
27 Akbar, Noreen Sher
27 Balachandran, Krishnan
27 Li, Wenxue
27 Ntouyas, Sotiris K.
27 Ouannas, Adel
27 Shivanian, Elyas
27 Torres, Delfim Fernando Marado
27 Wang, Zhen
27 Yang, Xinsong
27 Zhang, Xinguang
26 Cheng, Jun
26 Cui, Yujun
26 Fečkan, Michal
26 Heydari, Mohammad Hossien
26 Jafari, Sajad
26 Zheng, Liancun
25 Abdeljawad, Thabet
25 Almeida, Ricardo
25 Inc, Mustafa
25 Jafari, Hossein
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1,504 Communications in Nonlinear Science and Numerical Simulation
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915 Nonlinear Dynamics
571 Mathematical Problems in Engineering
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474 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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317 Journal of the Franklin Institute
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280 Journal of Computational and Applied Mathematics
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255 Discrete Dynamics in Nature and Society
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99 Journal of Mathematical Physics
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85 Neural Networks
82 Physica A
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