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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
Comments: Journal
Documents Indexed: 6,666 Publications (since 1996)
References Indexed: 6,381 Publications with 209,903 References.
all top 5

Authors

44 Machado, José António Tenreiro
35 Hayat, Tasawar
35 Sanjuán, Miguel A. F.
32 Guo, Boling
31 Băleanu, Dumitru I.
30 Biswas, Anjan
30 Shang, Pengjian
28 Wazwaz, Abdul-Majid Abdul-Rahman
27 Luo, Albert C. J.
26 Ibragimov, Nail Hairullovich
26 Liao, Shijun
25 Cao, Jinde
25 Kudryashov, Nikolaĭ Alekseevich
25 Meleshko, Sergey V.
24 Tian, Bo
24 Xu, Wei
22 Zhong, Shou-Ming
21 Abbasbandy, Saeid
21 Malomed, Boris A.
20 Yu, Pei
17 Chen, Guanrong
17 Gandarias Núñez, Maria Luz
17 Rand, Richard H.
17 Wang, Jinrong
16 Jiang, Daqing
16 Kevrekidis, Panayotis G.
16 Lü, Xing
16 Tarasov, Vasily E.
15 Chen, Yong
15 Khalique, Chaudry Masood
15 Ma, Jun
15 Ma, Wen-Xiu
15 Vajravelu, Kuppalapalle
14 Awrejcewicz, Jan
14 Chen, Lansun
14 He, Jihuan
14 Kim, Junseok
14 Li, Yongkun
14 Macías-Díaz, Jorge Eduardo
14 Wang, Ke
13 Bi, Qinsheng
13 Kofané, Timoléon Crépin
13 Ruan, Jiong
13 Zhang, Yufeng
12 Bashkirtseva, Irina Adol’fovna
12 Batista, Antonio Marcos
12 Bowong, Samuel
12 Dehghan Takht Fooladi, Mehdi
12 He, Jingsong
12 Maleknejad, Khosrow
12 O’Regan, Donal
12 Seoane, Jesús M.
12 Sun, Jianqiao
12 Tian, Lixin
12 van Gorder, Robert Ashton
12 Wang, Jiang
12 Wang, Xingyuan
12 Wiggins, Stephen R.
12 Yamapi, René
11 Algaba, Antonio
11 Asghar, Saleem
11 Deng, Bin
11 Fečkan, Michal
11 Fu, Xilin
11 Gómez, Gerard
11 Li, Houqiang
11 Li, Xiaodi
11 Lin, Chang
11 Lopes, António M.
11 Masdemont, Josep J.
11 Noorani, Mohd Salmi Mohd
11 Páez Chávez, Joseph Nikolai
11 Pop, Ioan
11 Ryashko, Lev Borisovich
11 Starkov, Konstantin E.
11 Zaslavskiĭ, Georgiĭ Moiseevich
11 Zhang, Hongqing
10 Akhmet, Marat Ubaydulla
10 Balasubramaniam, Pagavathigounder
10 Caraballo Garrido, Tomás
10 Chen, Guoqian
10 Cherniha, Roman M.
10 Doroshin, Anton V.
10 Jin, Zhen
10 Kurths, Jürgen
10 Liao, Xiaofeng
10 Liu, Xinzhi
10 Ramm, Alexander G.
10 Sun, Wen-Rong
10 Wang, Lei
10 Woafo, Paul
10 Wong, Kwokwo
10 Xiao, Di
10 Xu, Rui
10 Yan, Zhenya
10 Zhou, Yong
9 Agarwal, Ravi P.
9 Ayub, Muhammad
9 Bruzón, Maria Santos
9 Butcher, Eric A.
...and 10,666 more Authors
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Fields

1,879 Partial differential equations (35-XX)
1,467 Ordinary differential equations (34-XX)
1,311 Dynamical systems and ergodic theory (37-XX)
1,059 Biology and other natural sciences (92-XX)
948 Numerical analysis (65-XX)
826 Fluid mechanics (76-XX)
816 Systems theory; control (93-XX)
465 Mechanics of particles and systems (70-XX)
446 Mechanics of deformable solids (74-XX)
345 Statistical mechanics, structure of matter (82-XX)
309 Probability theory and stochastic processes (60-XX)
291 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
265 Information and communication theory, circuits (94-XX)
251 Real functions (26-XX)
235 Optics, electromagnetic theory (78-XX)
153 Computer science (68-XX)
149 Operations research, mathematical programming (90-XX)
148 Statistics (62-XX)
130 Classical thermodynamics, heat transfer (80-XX)
127 Calculus of variations and optimal control; optimization (49-XX)
113 Quantum theory (81-XX)
98 Integral equations (45-XX)
98 Operator theory (47-XX)
91 Geophysics (86-XX)
89 Difference and functional equations (39-XX)
58 Special functions (33-XX)
47 Measure and integration (28-XX)
45 Combinatorics (05-XX)
39 Astronomy and astrophysics (85-XX)
33 Global analysis, analysis on manifolds (58-XX)
28 Harmonic analysis on Euclidean spaces (42-XX)
24 Approximations and expansions (41-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
22 Integral transforms, operational calculus (44-XX)
18 Relativity and gravitational theory (83-XX)
14 Nonassociative rings and algebras (17-XX)
13 General and overarching topics; collections (00-XX)
13 Number theory (11-XX)
11 Functions of a complex variable (30-XX)
9 General topology (54-XX)
8 Functional analysis (46-XX)
8 Differential geometry (53-XX)
5 Topological groups, Lie groups (22-XX)
4 Mathematical logic and foundations (03-XX)
3 Algebraic geometry (14-XX)
3 Sequences, series, summability (40-XX)
3 Algebraic topology (55-XX)
3 Manifolds and cell complexes (57-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

Citations contained in zbMATH Open

4,825 Publications have been cited 47,534 times in 29,325 Documents Cited by Year
Recent history of fractional calculus. Zbl 1221.26002
Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco
466
2011
Lyapunov functions for fractional order systems. Zbl 1510.34111
Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Gallegos, Javier A.
303
2014
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
299
2018
A Caputo fractional derivative of a function with respect to another function. Zbl 1465.26005
Almeida, Ricardo
265
2017
On the \(\psi\)-Hilfer fractional derivative. Zbl 1470.26015
Vanterler da C. Sousa, J.; de Oliveira, E. Capelas
260
2018
Notes on the homotopy analysis method: some definitions and theorems. Zbl 1221.65126
Liao, Shijun
245
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
222
2015
Homotopy analysis method for fractional IVPs. Zbl 1221.65277
Hashim, I.; Abdulaziz, O.; Momani, S.
201
2009
On the concept and existence of solution for impulsive fractional differential equations. Zbl 1252.35277
Fečkan, Michal; Zhou, Yong; Wang, Jinrong
196
2012
Fractional calculus in viscoelasticity: an experimental study. Zbl 1221.74012
Meral, F. C.; Royston, T. J.; Magin, R.
182
2010
An optimal homotopy-analysis approach for strongly nonlinear differential equations. Zbl 1222.65088
Liao, Shijun
167
2010
One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055
Kudryashov, Nikolay A.
148
2012
Homotopy analysis method for quadratic Riccati differential equation. Zbl 1132.34305
Tan, Yue; Abbasbandy, Saeid
127
2008
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
124
2012
Stability analysis of a prey-predator model incorporating a prey refuge. Zbl 1064.92045
Kar, Tapan Kumar
123
2005
On the numerical solutions for the fractional diffusion equation. Zbl 1221.65263
Khader, M. M.
122
2011
Solving a nonlinear fractional differential equation using Chebyshev wavelets. Zbl 1222.65087
Li, Yuanlu
118
2010
Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342
Kudryashov, Nikolai A.
115
2009
Fractional Poisson process. Zbl 1025.35029
Laskin, Nick
114
2003
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
113
2012
No violation of the Leibniz rule. No fractional derivative. Zbl 1329.26015
Tarasov, Vasily E.
112
2013
Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet. Zbl 1335.45002
Zhu, Li; Fan, Qibin
111
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.
107
2017
Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. Zbl 1221.49038
Almeida, Ricardo; Torres, Delfim F. M.
106
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
106
2011
Volterra-type Lyapunov functions for fractional-order epidemic systems. Zbl 1440.92067
Vargas-De-León, Cruz
105
2015
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. Zbl 1221.93091
Wang, Xing-Yuan; Song, Jun-Mei
102
2009
An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Zbl 1078.76022
Liao, Shijun
100
2006
The Legendre wavelet method for solving fractional differential equations. Zbl 1222.65063
Ur Rehman, Mujeeb; Ali Khan, Rahmat
100
2011
On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 1510.34004
Baleanu, Dumitru; Fernandez, Arran
97
2018
New solitons and kink solutions for the Gardner equation. Zbl 1118.35352
Wazwaz, Abdul-Majid
96
2007
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
88
2008
Approximate controllability of nonlinear fractional dynamical systems. Zbl 1344.93019
Sakthivel, R.; Ganesh, R.; Ren, Yong; Anthoni, S. M.
87
2013
Some applications of fractional equations. Zbl 1041.35073
Weitzner, H.; Zaslavsky, G. M.
85
2003
Leibniz type rule: \(\psi\)-Hilfer fractional operator. Zbl 1477.26012
Vanterler da C. Sousa, J.; de Oliveira, E. Capelas
85
2019
The uniqueness of positive solution for a singular fractional differential system involving derivatives. Zbl 1283.34006
Zhang, Xinguang; Liu, Lishan; Wu, Yonghong
84
2013
On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Zbl 1221.93230
Rafikov, Marat; Balthazar, José Manoel
81
2008
The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015
Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar
80
2012
Synchronization of different fractional order chaotic systems using active control. Zbl 1222.94031
Bhalekar, Sachin; Daftardar-Gejji, Varsha
79
2010
Lie symmetry analysis to the time fractional generalized fifth-order KdV equation. Zbl 1304.35624
Wang, Gang-wei; Liu, Xi-qiang; Zhang, Ying-yuan
78
2013
Modified fractional Euler method for solving fuzzy fractional initial value problem. Zbl 1253.35208
Mazandarani, Mehran; Kamyad, Ali Vahidian
76
2013
Be careful with the Exp-function method. Zbl 1221.35344
Kudryashov, Nikolai A.; Loguinova, Nadejda B.
76
2009
The existence of solutions for boundary value problem of fractional hybrid differential equations. Zbl 1352.34011
Sun, Shurong; Zhao, Yige; Han, Zhenlai; Li, Yanan
74
2012
Fractional dynamics of systems with long-range interaction. Zbl 1106.35103
Tarasov, Vasily E.; Zaslavsky, George M.
74
2006
A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations. Zbl 1226.65062
Esmaeili, Shahrokh; Shamsi, M.
74
2011
Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials. Zbl 1266.65115
Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi
73
2012
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. Zbl 1221.65278
Jafari, H.; Seifi, S.
73
2009
The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage. Zbl 1221.34034
Li, Yongfeng; Cui, Jingan
73
2009
New concepts and results in stability of fractional differential equations. Zbl 1252.35276
Wang, Jinrong; Lv, Linli; Zhou, Yong
72
2012
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.
72
2010
Finite-time synchronization control of complex dynamical networks with time delay. Zbl 1311.34157
Mei, Jun; Jiang, Minghui; Xu, Wangming; Wang, Bin
71
2013
Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006
Abdeljawad, Thabet; Baleanu, Dumitru
70
2011
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.
69
2011
New travelling wave solutions to the Boussinesq and the Klein-Gordon equations. Zbl 1221.35372
Wazwaz, Abdul-Majid
69
2008
On an accurate discretization of a variable-order fractional reaction-diffusion equation. Zbl 1509.65071
Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang
69
2019
On “new travelling wave solutions” of the KdV and the KdV-Burgers equations. Zbl 1221.35343
Kudryashov, Nikolai A.
68
2009
A theory for synchronization of dynamical systems. Zbl 1221.37218
Luo, Albert C. J.
68
2009
How to impose physically coherent initial conditions to a fractional system? Zbl 1221.34019
Sabatier, Jocelyn; Merveillaut, Mathieu; Malti, Rachid; Oustaloup, Alain
68
2010
Positive solutions to singular fractional differential system with coupled boundary conditions. Zbl 1329.34010
Jiang, Jiqiang; Liu, Lishan; Wu, Yonghong
67
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
67
2006
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
67
2009
Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China. Zbl 1444.92114
Ivorra, B.; Ferrández, M. R.; Vela-Pérez, Maria; Ramos, A. M.
67
2020
On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions. Zbl 1473.37081
Ji, Jia-Liang; Zhu, Zuo-Nong
66
2017
Design of sliding mode controller for a class of fractional-order chaotic systems. Zbl 1248.93041
Yin, Chun; Zhong, Shou-ming; Chen, Wu-fan
65
2012
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
64
2015
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.
64
2014
Fourier spectral method for higher order space fractional reaction-diffusion equations. Zbl 1524.65676
Pindza, Edson; Owolabi, Kolade M.
63
2016
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
63
2014
Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching. Zbl 1524.37084
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua
62
2018
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.
62
2015
Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations. Zbl 1244.65243
Maleknejad, Khosrow; Hashemizadeh, Elham; Basirat, B.
61
2012
Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215
Balachandran, K.; Kiruthika, S.; Trujillo, J. J.
61
2011
A theory for non-smooth dynamic systems on the connectable domains. Zbl 1065.34007
Luo, Albert C. J.
60
2005
Solving a system of nonlinear fractional partial differential equations using homotopy analysis method. Zbl 1221.35439
Jafari, H.; Seifi, S.
60
2009
A sliding mode control for linear fractional systems with input and state delays. Zbl 1221.93048
Si-Ammour, Amar; Djennoune, Said; Bettayeb, Maamar
60
2009
Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets. Zbl 1221.65140
Saeedi, H.; Moghadam, M. Mohseni
60
2011
Grey system model with the fractional order accumulation. Zbl 1274.62639
Wu, Lifeng; Liu, Sifeng; Yao, Ligen; Yan, Shuli; Liu, Dinglin
60
2013
A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. Zbl 1244.65099
Bhrawy, Ali H.; Alofi, A. S.
58
2012
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.
58
2011
Delayed-feedback control in a lattice hydrodynamic model. Zbl 1457.93068
Redhu, Poonam; Gupta, Arvind Kumar
58
2015
An approximate solution technique depending on an artificial parameter: A special example. Zbl 0921.35009
He, Jihuan
57
1998
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.
57
2007
Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response. Zbl 1221.34152
Liu, Meng; Wang, Ke
57
2011
Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity. Zbl 1510.37063
Leonov, G. A.; Kuznetsov, N. V.; Mokaev, T. N.
57
2015
Caputo derivatives of fractional variable order: numerical approximations. Zbl 07246627
Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.
57
2016
Fuzzy fractional functional differential equations under Caputo gH-differentiability. Zbl 1336.34009
Ngo Van Hoa
56
2015
Complete controllability of fractional evolution systems. Zbl 1248.93029
Wang, Jinrong; Zhou, Yong
56
2012
A collocation-shooting method for solving fractional boundary value problems. Zbl 1222.65078
Al-Mdallal, Qasem M.; Syam, Muhammed I.; Anwar, M. N.
56
2010
Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order. Zbl 1465.65108
Owolabi, Kolade M.
56
2017
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
56
2011
Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Zbl 1286.34106
Li, Xiaodi; Rakkiyappan, R.
55
2013
Adiabatic parameter dynamics of perturbed solitary waves. Zbl 1221.35321
Antonova, Mariana; Biswas, Anjan
55
2009
Finite-time chaos control via nonsingular terminal sliding mode control. Zbl 1221.37225
Wang, Hua; Han, Zheng-Zhi; Xie, Qi-Yue; Zhang, Wei
55
2009
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.
55
2011
Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit. Zbl 1221.93227
Matouk, A. E.
55
2011
Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160
Kudryashov, Nikolai A.
55
2010
Exponential stability of second-order stochastic evolution equations with Poisson jumps. Zbl 1273.60077
Sakthivel, R.; Ren, Y.
54
2012
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
54
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.
54
2009
The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms. Zbl 1221.35373
Wazwaz, Abdul-Majid
54
2008
Output synchronization of wide-area multi-agent systems via an event-triggered hybrid control approach. Zbl 07784250
Wang, Qiuzhen; Hu, Jiangping; Zhao, Yiyi; Ghosh, Bijoy Kumar
1
2024
Fractional partial differential variational inequality. Zbl 07784257
Cen, Jinxia; Sousa, J. Vanterler da C.; Wu, Wei
1
2024
Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations. Zbl 07793525
Chen, Si-Jia; Yin, Yu-Hang; Lü, Xing
1
2024
A new kind of double phase elliptic inclusions with logarithmic perturbation terms. I: Existence and extremality results. Zbl 07801768
Liu, Yongjian; Lu, Yasi; Vetro, Calogero
1
2024
New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\). Zbl 1512.93020
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy
7
2023
New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays. Zbl 1514.34122
Xu, Changjin; Mu, Dan; Liu, Zixin; Pang, Yicheng; Liao, Maoxin; Aouiti, Chaouki
6
2023
Finite-time mixed \(H_\infty\) and passivity analysis for Takagi-Sugeno fuzzy system with time-varying delays and actuator faults. Zbl 1501.93134
Mao, Di; Ma, Yuechao
6
2023
Dynamical behavior of a stochastic SIQR epidemic model with Ornstein-Uhlenbeck process and standard incidence rate after dimensionality reduction. Zbl 1501.92210
Zhou, Yaxin; Jiang, Daqing
6
2023
Nonlinear vibration characteristic of FGM sandwich cylindrical panel with auxetic core subjected to the temperature gradient. Zbl 1518.35587
Karimiasl, M.; Alibeigloo, A.
5
2023
Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity. Zbl 1524.65978
Qiu, Wenlin; Xiao, Xu; Li, Kexin
5
2023
Resilient finite-time distributed event-triggered consensus of multi-agent systems with multiple cyber-attacks. Zbl 1501.93095
Murugesan, Sathishkumar; Liu, Yen-Chen
5
2023
Dynamic analysis on optical pulses via modified PINNs: soliton solutions, rogue waves and parameter discovery of the CQ-NLSE. Zbl 07758893
Yin, Yu-Hang; Lü, Xing
4
2023
Consistency-enhanced SAV BDF2 time-marching method with relaxation for the incompressible Cahn-Hilliard-Navier-Stokes binary fluid model. Zbl 1508.65107
Li, Yibao; Yang, Junxiang
4
2023
Stationary distribution and extinction of a stochastic HLIV model with viral production and Ornstein-Uhlenbeck process. Zbl 1508.92276
Liu, Qun
4
2023
Energy stable schemes with second order temporal accuracy and decoupled structure for diffuse interface model of two-phase magnetohydrodynamics. Zbl 1508.65134
Su, Haiyan; Zhang, Guo-Dong
4
2023
Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model. Zbl 1506.76034
Xia, Qing; Sun, Gangming; Yu, Qian; Kim, Junseok; Li, Yibao
4
2023
Bifurcations on a discontinuous Leslie-Grower model with harvesting and alternative food for predators and Holling II functional response. Zbl 1501.92109
Cortés García, Christian
4
2023
Filtering properties of Hodgkin-Huxley neuron on different time-scale signals. Zbl 1505.92036
Yu, Dong; Wang, Guowei; Li, Tianyu; Ding, Qianming; Jia, Ya
4
2023
Qualitative analysis of exponential power rate fishery model and complex dynamics guided by a discontinuous weighted fishing strategy. Zbl 1505.92170
Tian, Yuan; Gao, Yan; Sun, Kaibiao
3
2023
Ground state solutions for electromagnetic Schrödinger equations on unbounded domains. Zbl 1511.35120
Zuo, Jiabin; Khachnaoui, Khaled; da C. Sousa, J. Vanterler
3
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Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models. Zbl 1502.74043
Tang, Yuan; Qing, Hai
3
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The analysis of solitonic, supernonlinear, periodic, quasiperiodic, bifurcation and chaotic patterns of perturbed Gerdjikov-Ivanov model with full nonlinearity. Zbl 1500.35271
Rafiq, Muhammad Hamza; Jhangeer, Adil; Raza, Nauman
3
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Non-constant steady states and Hopf bifurcation of a species interaction model. Zbl 1501.92106
Chen, Mengxin; Wu, Ranchao; Wang, Xiaohui
3
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Non-extensive entropy and fragment-asperity interaction model for earthquakes. Zbl 1502.86006
Posadas, A.; Sotolongo-Costa, O.
3
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Relationship between nonlinear free vibration behavior and nonlinear forced vibration behavior of viscoelastic plates. Zbl 1510.74060
Zhu, Chang-song; Fang, Xue-qian; Liu, Jin-xi
3
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Stabilization and destabilization of fractional oscillators via a delayed feedback control. Zbl 1502.34086
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3
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A viral co-infection model with general infection rate in deterministic and stochastic environments. Zbl 1527.34085
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2
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Stability and Hopf bifurcation of a tumor-immune system interaction model with an immune checkpoint inhibitor. Zbl 1507.92021
Shi, Shujing; Huang, Jicai; Kuang, Yang; Ruan, Shigui
2
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Distributed optimal fusion filtering for singular systems with random transmission delays and packet dropout compensations. Zbl 1508.93302
Hu, Jun; Wang, Chen; Caballero-Águila, Raquel; Liu, Hongjian
2
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Global boundedness and dynamics of a diffusive predator-prey model with modified Leslie-Gower functional response and density-dependent motion. Zbl 1509.35078
Mi, Ying-Yuan; Song, Cui; Wang, Zhi-Cheng
2
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Complex-order fractional diffusion in reaction-diffusion systems. Zbl 1509.35339
Bueno-Orovio, Alfonso; Burrage, Kevin
2
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Dynamic event-triggered control for intra/inter-layer synchronization in multi-layer networks. Zbl 1508.93206
Zhang, Chuan; Zhang, Cheng; Zhang, Xianfu; Wang, Fei; Liang, Yi
2
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Creation of heterogeneity or defects in a memristive neural network under energy flow. Zbl 1515.34053
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2
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Stationary distribution and probability density for a stochastic SISP respiratory disease model with Ornstein-Uhlenbeck process. Zbl 1508.92277
Liu, Qun
2
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Convergence of substructuring methods for the Cahn-Hilliard equation. Zbl 1509.65093
Garai, Gobinda; Mandal, Bankim C.
2
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Electric potential-robust iterative analysis of charge-conservative conforming FEM for thermally coupled inductionless MHD system. Zbl 1512.78006
Dong, Shitian; Zhang, Xiaodi; Su, Haiyan
2
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Finding regions of bounded motion in binary asteroid environment using Lagrangian descriptors. Zbl 1520.70011
Raffa, Sebastiano; Merisio, Gianmario; Topputo, Francesco
2
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Size-dependent nonlinear vibration analysis of cracked graphene-platelets-reinforced-composites (GPLRC) plate under parametric excitation. Zbl 1512.74041
Qaderi, Saeedeh; Ghadiri, Majid; Najafi, Mohammad; Imam, Ali; Soleimanimehr, Hamid
2
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Uniqueness and stability of limit cycles in planar piecewise linear differential systems without sliding region. Zbl 1512.34020
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2
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Non-fragile extended dissipative synchronization control of delayed uncertain discrete-time neural networks. Zbl 1501.93118
Adhira, B.; Nagamani, G.; Dafik, D.
2
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Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed sinh-Gordon equation. Zbl 1501.35017
Raza, Nauman; Salman, Farwa; Butt, Asma Rashid; Gandarias, María Luz
2
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Noise-induced complex dynamics and synchronization in the map-based Chialvo neuron model. Zbl 1505.92006
Bashkirtseva, Irina; Ryashko, Lev; Used, Javier; Seoane, Jesús M.; Sanjuán, Miguel A. F.
2
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A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation. Zbl 07609370
Heydari, M. H.; Razzaghi, M.; Baleanu, D.
2
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Unconditional error analysis of a linearized BDF2 virtual element method for nonlinear Ginzburg-Landau equation with variable time step. Zbl 1500.65072
Wang, Nan; Li, Meng
2
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Turing instability and pattern formation on directed networks. Zbl 1507.34061
Ritchie, J.
2
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A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations. Zbl 1504.65171
Deng, Dingwen; Wang, Qihong
2
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Traditional and non-traditional active nonlinear vibration absorber with time delay combination feedback for hard excitation. Zbl 1512.70029
Mohanty, S.; Dwivedy, S. K.
2
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Nonlinear flexure mechanics of mixture unified gradient nanobeams. Zbl 1506.74170
Faghidian, S. Ali; Żur, Krzysztof Kamil; Elishakoff, Isaac
2
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Evolutionary dynamics of compliance in a two-population game of auditors and taxpayers. Zbl 1505.91078
De Giovanni, Domenico; Lamantia, Fabio; Pezzino, Mario
2
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Asynchronously intermittent decentralized control for synchronization of stochastic delayed networks. Zbl 1505.93007
Wang, Pengfei; Li, Xiaojie; Su, Huan
2
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Magnetoelastic primary resonance and bifurcation of an axially moving ferromagnetic plate under harmonic magnetic force. Zbl 1506.74132
Cao, Tianxiao; Hu, Yuda
2
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A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential. Zbl 1504.65182
Wu, Chunya; Feng, Xinlong; He, Yinnian; Qian, Lingzhi
2
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Localized meshless approaches based on theta method and BDF2 for nonlinear Sobolev equation arising from fluid dynamics. Zbl 1504.65176
Guo, Tao; Nikan, Omid; Qiu, Wenlin; Xu, Da
2
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Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults. Zbl 07758898
Tang, Fanghua; Wang, Huanqing; Zhang, Liang; Xu, Ning; Ahmad, Adil M.
1
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Asynchronous event-triggered \(\mathcal{H}_\infty\) control for 2D Markov jump systems subject to networked random packet losses. Zbl 07758905
Ma, Xiaofeng; Dong, Jingjing; Tai, Weipeng; Zhou, Jianping; Paszke, Wojciech
1
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Static pinning synchronization in dynamical networks with event-triggered coupling: average delayed impulsive weight approach. Zbl 1527.34093
Zhang, Lingzhong; Lu, Jianquan; Lou, Jungang
1
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Stability of traveling waves for deterministic and stochastic delayed reaction-diffusion equation based on phase shift. Zbl 1526.35110
Liu, Yu; Chen, Guanggan; Li, Shuyong
1
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Energy-stable mixed finite element methods for a ferrofluid flow model. Zbl 1519.65061
Wu, Yongke; Xie, Xiaoping
1
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Stabilized finite element approximation of the Swift-Hohenberg model on evolving surfaces. Zbl 07733013
Yu, Xiao; Huang, Shijie; Xiao, Xufeng; Feng, Xinlong
1
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An improved sampled-data synchronization criterion for delayed neural networks with two-type transmission delays. Zbl 1523.34078
Kwon, Wookyong; Park, JunMin
1
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Parametric resonance of multi-frequency excited MEMS based on homotopy analysis method. Zbl 07733022
Yuan, Quan; Kang, Houjun; Zhao, Yaobing; Cong, Yunyue; Su, Xiaoyang
1
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Two-grid fully discrete finite element algorithms on temporal graded meshes for nonlinear multi-term time-fractional diffusion equations with variable coefficient. Zbl 07733029
Li, Kang; Tan, Zhijun
1
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Regularity criteria for the 3D axisymmetric non-resistive MHD system. Zbl 1518.35553
Li, Zhouyu
1
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A non-fragile robust \(H_\infty\) regulator in discrete-time control systems with nonzero reference. Zbl 1527.93087
Ghaffari, Valiollah
1
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Vibrational control and resonance of a nonlinear tilted cantilever beam under multi-harmonic low and high-frequency excitations. Zbl 07733055
Sahoo, Pradyumna Kumar; Chatterjee, S.
1
2023
Approximate symmetry of time-fractional partial differential equations with a small parameter. Zbl 1522.35027
Zhu, Hui-Min; Zheng, Jia; Zhang, Zhi-Yong
1
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Dynamical analysis and reachable set estimation of T-S fuzzy system with permanent magnet synchronous motor. Zbl 07733076
Vadivel, R.; Njitacke, Zeric Tabekoueng; Shanmugam, Lakshmanan; Hammachukiattikul, P.; Gunasekaran, Nallappan
1
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Humbert generalized fractional differenced ARMA processes. Zbl 07733080
Bhootna, Niharika; Dhull, Monika Singh; Kumar, Arun; Leonenko, Nikolai
1
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A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation. Zbl 1508.65110
Rawani, Mukesh Kumar; Verma, Amit Kumar; Cattani, Carlo
1
2023
On modeling the synergy of cancer immunotherapy with radiotherapy. Zbl 1507.92043
Ledzewicz, Urszula; Schättler, Heinz
1
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New insights into nonlinear stability of imperfect nanocomposite beams resting on a nonlinear medium. Zbl 1509.74017
Babaei, Hadi; Kiani, Yaser; Żur, Krzysztof Kamil
1
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Fast simulation for Gaussian random fields on compact Riemannian manifolds. Zbl 1515.60156
Jiang, Qianqian; Dai, Wanyang
1
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Computation of generating symmetries. Zbl 1511.37074
Rasin, Alexander G.
1
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Invariant measures for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay. Zbl 1509.35192
Yang, Shuang; Caraballo, Tomás; Li, Yangrong
1
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\(N\)-soliton solutions of the Fokas-Lenells equation for the plasma ion-cyclotron waves: inverse scattering transform approach. Zbl 1508.35154
Lashkin, V. M.
1
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Non-abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation. Zbl 1509.35018
Vojčák, Petr
1
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Local and global existence of solutions to a time-fractional wave equation with an exponential growth. Zbl 1509.35362
Wang, Renhai; Can, Nguyen Huu; Nguyen, Anh Tuan; Tuan, Nguyen Huy
1
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Data-driven forward-inverse problems for Yajima-Oikawa system using deep learning with parameter regularization. Zbl 1523.76019
Pu, Jun-Cai; Chen, Yong
1
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Riemann-Hilbert problems and soliton solutions for a generalized coupled Sasa-Satsuma equation. Zbl 1508.35028
Liu, Yaqing; Zhang, Wen-Xin; Ma, Wen-Xiu
1
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A nonlinear Chebyshev-based collocation technique to frequency analysis of thermally pre/post-buckled third-order circular sandwich plates. Zbl 1509.74020
Chu, C.; Al-Furjan, M. S. H.; Kolahchi, R.; Farrokhian, A.
1
2023
Generalized synchronization of delayed complex-valued dynamical networks via hybrid control. Zbl 1515.34075
Shen, Yuan; Liu, Xinzhi
1
2023
State-of-charge estimation for lithium-ion batteries based on incommensurate fractional-order observer. Zbl 1510.93302
Chen, Liping; Guo, Wenliang; Lopes, António M.; Wu, Ranchao; Li, Penghua; Yin, Lisheng
1
2023
Stable matter-wave solitons, interactions, and excitations in the spinor \(F=1\) Bose-Einstein condensates with \(\mathcal{PT}\)- and non-\(\mathcal{PT}\)-symmetric potentials. Zbl 1518.81134
Zhong, Ming; Yan, Zhenya; Tian, Shou-Fu
1
2023
A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion. Zbl 1508.65133
Shi, Dongyang; Li, Chaoqun
1
2023
Bifurcations analysis of a multiple attractors energy harvesting system with fractional derivative damping under random excitation. Zbl 1508.74030
Zhang, Wenting; Xu, Wei; Niu, Lizhi; Tang, Yaning
1
2023
Delay-dependent finite-time synchronization criterion of fractional-order delayed complex networks. Zbl 1515.34074
Du, Feifei; Lu, Jun-Guo; Zhang, Qing-Hao
1
2023
Global dynamics and bifurcation for a discontinuous oscillator with irrational nonlinearity. Zbl 1518.70023
Wang, Jiafu; Huang, Wanyi; Huang, Lihong
1
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Bounded real lemmas for inertial neural networks with unbounded mixed delays and state-dependent switching. Zbl 1508.93167
Zhang, Xian; Meng, Xianhe; Wang, Yantao; Liu, Chunyan
1
2023
Bifurcations and nonlinear dynamics of asymmetric tri-stable piezoelectric vibration energy harvesters. Zbl 1508.74031
Zheng, Youcheng; Wang, Guangqing; Zhu, Qiangguo; Li, Guangbo; Zhou, Yuyang; Hou, Lugang; Jiang, Yifan
1
2023
A mesoscopic lattice model for morphology formation in ternary mixtures with evaporation. Zbl 1509.82032
Setta, Mario; Kronberg, Vì C. E.; Muntean, Stela Andrea; Moons, Ellen; van Stam, Jan; Cirillo, Emilio N. M.; Colangeli, Matteo; Muntean, Adrian
1
2023
A novel mathematical analysis and threshold reinforcement of a stochastic dengue epidemic model with Lévy jumps. Zbl 1508.92265
Kiouach, Driss; El-idrissi, Salim El Azami; Sabbar, Yassine
1
2023
Resonance, fusion and fission dynamics of bifurcation solitons and hybrid rogue wave structures of Sawada-Kotera equation. Zbl 1508.35105
Ahmad, Shabir; Saifullah, Sayed; Khan, Arshad; Wazwaz, Abdul Majid
1
2023
Strong approximation of non-autonomous time-changed McKean-Vlasov stochastic differential equations. Zbl 1515.60219
Wen, Xueqi; Li, Zhi; Xu, Liping
1
2023
Time-accurate and highly-stable explicit peer methods for stiff differential problems. Zbl 07656633
Conte, Dajana; Pagano, Giovanni; Paternoster, Beatrice
1
2023
The ground states of Hénon equations for \(p\)-Laplacian in \(\mathbb{R}^N\) involving upper weighted critical exponents. Zbl 1514.35246
Wang, Cong; Su, Jiabao
1
2023
Novel order-dependent passivity conditions of fractional generalized Cohen-Grossberg neural networks with proportional delays. Zbl 1509.34056
Zhang, Hai; Wang, Chen; Ye, Renyu; Stamova, Ivanka; Cao, Jinde
1
2023
Adaptive consensus for uncertain multi-agent systems with stochastic measurement noises. Zbl 1512.93066
Huang, Yaxin
1
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Fully nonlinear Cucker-Smale model for pattern formation and damped oscillation control. Zbl 1514.70037
Kim, Jong-Ho; Park, Jea-Hyun
1
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High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg-Landau equation. Zbl 07676850
Ding, Hengfei; Li, Changpin
1
2023
A stochastic simplicial SIS model for complex networks. Zbl 1509.05163
Tocino, Angel; Hernández Serrano, Daniel; Hernández-Serrano, Juan; Villarroel, Javier
1
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287 Băleanu, Dumitru I.
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188 Al-saedi, Ahmed Eid Salem
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122 Machado, José António Tenreiro
117 Ahmad, Bashir
117 Dehghan Takht Fooladi, Mehdi
115 Wazwaz, Abdul-Majid Abdul-Rahman
110 Biswas, Anjan
106 Wang, Jinrong
105 Abdeljawad, Thabet
96 Agarwal, Ravi P.
96 Kudryashov, Nikolaĭ Alekseevich
90 Abbasbandy, Saeid
87 Khalique, Chaudry Masood
85 Jiang, Daqing
83 Park, Juhyun (Jessie)
77 Ma, Wen-Xiu
77 Nieto Roig, Juan Jose
73 Bhrawy, Ali Hassan
73 Shah, Kamal
73 Zhu, Quanxin
72 Jafari, Sajad
70 O’Regan, Donal
70 Sakthivel, Rathinasamy
70 Xu, Wei
66 Inc, Mustafa
64 van Gorder, Robert Ashton
64 Zhou, Yong
63 Macías-Díaz, Jorge Eduardo
63 Teng, Zhi-dong
62 Jiang, Haijun
62 Pham, Viet-Thanh
61 Vaidyanathan, Sundarapandian
60 Liu, Xinzhi
60 Wang, Xingyuan
59 Gómez-Aguilar, José Francisco
59 Heydari, Mohammad Hossein
58 Pop, Ioan
57 Kim, Junseok
57 Tarasov, Vasily E.
57 Vajravelu, Kuppalapalle
56 Li, Yongkun
55 Wu, Yonghong
54 Balasubramaniam, Pagavathigounder
53 Li, Xiaodi
53 Momani, Shaher M.
52 Khader, Mohamed M.
52 Liao, Shijun
52 Tian, Shoufu
51 Hashim, Ishak
51 Sun, Shurong
50 Liu, Lishan
49 Hu, Cheng
49 Maleknejad, Khosrow
49 Sajid, Muhammad
48 Chen, Guanrong
48 Nadeem, Sohail
48 Ntouyas, Sotiris K.
48 Vanterler da Costa Sousa, José
48 Xu, Changjin
48 Zaky, Mahmoud A.
47 Liu, Fawang
47 Rezapour, Shahram
46 Atangana, Abdon
46 Han, Zhenlai
46 Ouannas, Adel
46 Rakkiyappan, Rajan
46 Razzaghi, Mohsen
45 Hendy, Ahmed S.
45 Liu, Qun
45 Noorani, Mohd Salmi Mohd
45 Owolabi, Kolade Matthew
45 Tian, Bo
44 Ganji, Davood Domiri
44 Ordokhani, Yadollah
44 Zhang, Yufeng
43 Doha, Eid H.
43 Fečkan, Michal
42 Avazzadeh, Zakieh
42 Chen, Fengde
42 Fang, Jian’an
42 Huang, Tingwen
42 Li, Wenxue
42 Zada, Akbar
41 Abdo, Mohammed Salem
41 Alzabut, Jehad O.
41 Seadawy, Aly R.
41 Torres, Delfim Fernando Marado
41 Zhang, Tonghua
41 Zhao, Min
40 Almeida, Ricardo
40 Cortés López, Juan Carlos
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40 Zhou, Wuneng
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Cited in 824 Journals

2,296 Communications in Nonlinear Science and Numerical Simulation
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382 Applied Mathematics Letters
371 Mathematical Methods in the Applied Sciences
363 Discrete Dynamics in Nature and Society
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326 Computational and Applied Mathematics
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244 Boundary Value Problems
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195 Fractals
186 Physics Letters. A
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71 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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56 Wave Motion
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