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Chaos, Solitons and Fractals

Applications in Science and Engineering

Short Title: Chaos Solitons Fractals
Publisher: Elsevier (Pergamon), Oxford
ISSN: 0960-0779
Online: https://www.sciencedirect.com/journal/chaos-solitons-and-fractals/issues
Documents Indexed: 9,290 Publications (since 1991)
References Indexed: 9,200 Publications with 265,624 References.
all top 5

Authors

175 El Naschie, Mohamed Saladin
64 Chen, Guanrong
51 Zhang, Hongqing
44 Zhang, Yufeng
43 Liao, Xiaofeng
42 Xu, Wei
40 Chen, Lansun
37 Băleanu, Dumitru I.
37 Han, Maoan
36 Kapitaniak, Tomasz
36 Park, Juhyun (Jessie)
34 Gómez-Aguilar, José Francisco
34 Sidharth, Burra Gautam
32 Antoniou, Ioannis E.
32 Tian, Lixin
31 Atangana, Abdon
29 Kofané, Timoléon Crépin
29 Yang, Xiaosong
27 Cao, Jinde
27 Gardini, Laura
27 Yan, Zhenya
26 Wang, Jiang
25 Bekiros, Stelios D.
25 Chen, Dengyuan
25 Grigolini, Paolo
24 Caldas, Iberê L.
24 Owolabi, Kolade Matthew
24 Roy Chowdhury, Asesh
22 Elishakoff, Isaac
22 Ge, Zhengming
22 Xia, Tie-Cheng
21 Inc, Mustafa
21 Jing, Zhujun
21 Yan, Jun-Juh
20 Biswas, Anjan
20 Chen, Yong
20 Kurths, Jürgen
20 Tanimoto, Jun
20 Teng, Zhi-dong
20 Wazwaz, Abdul-Majid Abdul-Rahman
19 Argyris, John Hadji
19 Cui, Baotong
19 Holden, Arun V.
19 Zhong, Shou-Ming
18 Abdeljawad, Thabet
18 Hayat, Tasawar
18 Jafari, Sajad
18 Porsezian, Kuppusamy
18 Puu, Tönu
18 Sun, Yeong-Jeu
18 Wadati, Miki
18 Wiercigroch, Marian
17 Al-saedi, Ahmed Eid Salem
17 El-Gohary, Awad I.
17 Jahanshahi, Hadi
17 Kumar Upadhyay, Ranjit
17 Llibre, Jaume
17 Lu, Junguo
17 Luo, Albert C. J.
17 Perc, Matjaž
17 Saniga, Metod
16 Dai, Meifeng
16 Jiang, Haijun
16 Rossler, Otto E.
16 Wang, Fengyan
16 Zhang, Shuwen
15 Agiza, Hamdy N.
15 Andreadis, Ioannis
15 Duan, Wenshan
15 Hu, Cheng
15 Lien, Chang-Hua
15 Lu, Junan
15 Malomed, Boris A.
15 Ramos, Juan I.
15 Salarieh, Hassan
15 Shang, Pengjian
15 Tam, Honwah
15 Tian, Bo
15 Wei, Junjie
15 Yu, Pei
15 Zak, Michail A.
15 Zhang, Suochun
15 Zhou, Tianshou
14 Adamatzky, Andrew I.
14 Agop, Maricel
14 Chen, Qingjiang
14 Fan, Engui
14 Jumarie, Guy M.
14 Khan, Muhammad Altaf
14 Li, Chuandong
14 Liao, Tehlu
14 Singh, Vimal Pratap
14 Viana, Ricardo Luiz
14 West, Bruce J.
14 Zhang, Wei
13 Bashkirtseva, Irina Adol’fovna
13 Dai, Chaoqing
13 Deng, Bin
13 He, Ji-Huan
13 Iovane, Gerardo
...and 12,035 more Authors
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Fields

3,361 Dynamical systems and ergodic theory (37-XX)
2,133 Ordinary differential equations (34-XX)
1,620 Biology and other natural sciences (92-XX)
1,473 Partial differential equations (35-XX)
1,112 Systems theory; control (93-XX)
774 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
631 Quantum theory (81-XX)
562 Numerical analysis (65-XX)
452 Statistical mechanics, structure of matter (82-XX)
432 Information and communication theory, circuits (94-XX)
411 Mechanics of particles and systems (70-XX)
387 Probability theory and stochastic processes (60-XX)
372 Fluid mechanics (76-XX)
358 Computer science (68-XX)
333 Measure and integration (28-XX)
271 Real functions (26-XX)
267 Relativity and gravitational theory (83-XX)
265 Operations research, mathematical programming (90-XX)
237 Mechanics of deformable solids (74-XX)
221 Statistics (62-XX)
207 Optics, electromagnetic theory (78-XX)
185 General topology (54-XX)
180 Difference and functional equations (39-XX)
110 Geophysics (86-XX)
102 Number theory (11-XX)
94 Operator theory (47-XX)
87 Combinatorics (05-XX)
74 Differential geometry (53-XX)
69 Calculus of variations and optimal control; optimization (49-XX)
61 Classical thermodynamics, heat transfer (80-XX)
58 Integral equations (45-XX)
56 Global analysis, analysis on manifolds (58-XX)
55 General and overarching topics; collections (00-XX)
54 Harmonic analysis on Euclidean spaces (42-XX)
48 Manifolds and cell complexes (57-XX)
44 Functional analysis (46-XX)
41 Nonassociative rings and algebras (17-XX)
37 Approximations and expansions (41-XX)
34 Mathematical logic and foundations (03-XX)
32 Special functions (33-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
29 Astronomy and astrophysics (85-XX)
23 Functions of a complex variable (30-XX)
19 Algebraic geometry (14-XX)
16 Convex and discrete geometry (52-XX)
14 Geometry (51-XX)
13 History and biography (01-XX)
13 Sequences, series, summability (40-XX)
11 Group theory and generalizations (20-XX)
10 Integral transforms, operational calculus (44-XX)
8 Several complex variables and analytic spaces (32-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
4 Potential theory (31-XX)
4 Mathematics education (97-XX)
3 General algebraic systems (08-XX)
3 Field theory and polynomials (12-XX)
3 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
2 Algebraic topology (55-XX)
1 Commutative algebra (13-XX)
1 Topological groups, Lie groups (22-XX)
1 Abstract harmonic analysis (43-XX)

Publications by Year

Citations contained in zbMATH Open

6,717 Publications have been cited 69,932 times in 32,749 Documents Cited by Year
Exp-function method for nonlinear wave equations. Zbl 1141.35448
He, Ji-Huan; Wu, Xu-Hong
500
2006
Application of homotopy perturbation method to nonlinear wave equations. Zbl 1072.35502
He, Ji-Huan
389
2005
Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Zbl 1080.26505
Mainardi, Francesco
296
1996
Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order. Zbl 1360.34150
Atangana, Abdon; Koca, Ilknur
290
2016
Construction of solitary solution and compacton-like solution by variational iteration method. Zbl 1147.35338
He, Ji-Huan; Wu, Xu-Hong
261
2006
A review of \(E\) infinity theory and the mass spectrum of high energy particle physics. Zbl 1071.81501
El Naschie, M. S.
238
2004
Complex dynamics of Holling type II Lotka–Volterra predator–prey system with impulsive perturbations on the predator. Zbl 1085.34529
Liu, Xianning; Chen, Lansun
226
2003
Some probability densities and fundamental solutions of fractional evolution equations. Zbl 1005.34051
El-Borai, Mahmoud M.
205
2002
Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations. Zbl 0997.35083
Wazwaz, A. M.
205
2002
Simplest equation method to look for exact solutions of nonlinear differential equations. Zbl 1069.35018
Kudryashov, Nikolai A.
194
2005
Application of He’s variational iteration method to Helmholtz equation. Zbl 1086.65113
Momani, Shaher; Abuasad, Salah
192
2006
Chaos in Chen’s system with a fractional order. Zbl 1060.37026
Li, Changpin; Peng, Guojun
183
2004
Variational principles for some nonlinear partial differential equations with variable coefficients. Zbl 1135.35303
He, Ji-Huan
180
2004
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
178
2008
New periodic solutions for nonlinear evolution equations using Exp-function method. Zbl 1152.35441
He, Ji-Huan; Abdou, M. A.
173
2007
Chaos in the fractional order Chen system and its control. Zbl 1069.37025
Li, Chunguang; Chen, Guanrong
168
2004
Integrable theory of the perturbation equations. Zbl 1080.37578
Ma, W. X.; Fuchssteiner, B.
166
1996
A new chaotic attractor. Zbl 1060.37027
Liu, Chongxin; Liu, Tao; Liu, Ling; Liu, Kai
162
2004
An adaptive chaos synchronization scheme applied to secure communication. Zbl 1048.93508
Feki, Moez
162
2003
A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation. Zbl 1198.35231
Ma, Wen-Xiu; Lee, Jyh-Hao
162
2009
Adaptive synchronization of chaotic systems and its application to secure communications. Zbl 0967.93059
Liao, Teh-Lu; Tsai, Shin-Hwa
155
2000
Chaos in duopoly pricing. Zbl 0754.90015
Puu, T.
155
1991
Simple chaotic flows with a line equilibrium. Zbl 1355.37056
Jafari, Sajad; Sprott, J. C.
154
2013
A symmetric image encryption scheme based on 3D chaotic cat maps. Zbl 1049.94009
Chen, Guanrong; Mao, Yaobin; Chui, Charles K.
152
2004
On the uncertainty of Cantorian geometry and the two-slit experiment. Zbl 0935.81009
El Naschie, M. S.
150
1998
On new solutions of fuzzy differential equations. Zbl 1142.34309
Chalco-Cano, Y.; Román-Flores, H.
147
2008
Synchronization of an uncertain unified chaotic system via adaptive control. Zbl 1005.93020
Chen, Shihua; Lü, Jinhu
144
2002
Solution of fractional differential equations by using differential transform method. Zbl 1152.34306
Arikoglu, Aytac; Ozkol, Ibrahim
141
2007
Numerical comparison of methods for solving linear differential equations of fractional order. Zbl 1137.65450
Momani, Shaher; Odibat, Zaid
140
2007
Chaos in fractional-order autonomous nonlinear systems. Zbl 1033.37019
Ahmad, Wajdi M.; Sprott, J. C.
139
2003
Complex dynamic behaviors of a discrete-time predator-prey system. Zbl 1130.92056
Liu, Xiaoli; Xiao, Dongmei
138
2007
New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations. Zbl 1028.35131
Wazwaz, A. M.
137
2002
Limit cycle and bifurcation of nonlinear problems. Zbl 1093.34520
He, Ji-Huan
130
2005
Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems. Zbl 0967.37030
Di Bernardo, M.; Feigin, M. I.; Hogan, S. J.; Homer, M. E.
129
1999
Intuitionistic fuzzy metric spaces. Zbl 1060.54010
Park, Jin Han
127
2004
Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. Zbl 1374.28002
Atangana, Abdon
120
2017
On the intuitionistic fuzzy topological spaces. Zbl 1083.54514
Saadati, Reza; Park, Jin Han
117
2006
Homotopy-perturbation method for pure nonlinear differential equation. Zbl 1142.65418
Cveticanin, L.
108
2006
A note on the fractional-order Chen system. Zbl 1101.37307
Lu, Jun Guo; Chen, Guanrong
108
2006
Chaos synchronization between linearly coupled chaotic systems. Zbl 1067.37043
Lü, Jinhu; Zhou, Tianshou; Zhang, Suochun
108
2002
Adaptive synchronization of uncertain chaotic systems via backstepping design. Zbl 1015.37052
Wang, C.; Ge, S. S.
102
2001
The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations. Zbl 1138.35385
Abdou, M. A.
102
2007
Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method. Zbl 1022.35051
Wazwaz, A. M.
100
2001
Synchronization of two Lorenz systems using active control. Zbl 1079.37515
Bai, Er-Wei; Lonngren, Karl E.
99
1997
The one-dimensional heat equation subject to a boundary integral specification. Zbl 1139.35352
Dehghan, Mehdi
99
2007
New exact travelling wave solutions using modified extended tanh-function method. Zbl 1139.35388
El-Wakil, S. A.; Abdou, M. A.
99
2007
Global robust stability of delayed recurrent neural networks. Zbl 1075.68070
Cao, Jinde; Huang, De-Shuang; Qu, Yuzhong
98
2005
Global exponential stability of BAM neural networks with delays and impulses. Zbl 1099.68085
Li, Yongkun
98
2005
Simple and complex adjustment dynamics in Cournot duopoly models. Zbl 1080.91541
Kopel, Michael
97
1996
Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010
Atangana, Abdon; Gómez-Aguilar, J. F.
96
2018
Chaos synchronization between two different chaotic systems using active control. Zbl 1091.93520
Yassen, M. T.
94
2005
Beyond Adomian polynomials: He polynomials. Zbl 1197.65061
Ghorbani, Asghar
94
2009
Bifurcation analysis for Chen’s system with delayed feedback and its application to control of chaos. Zbl 1112.37303
Song, Yongli; Wei, Junjie
93
2004
Study of a Leslie-Gower-type tritrophic population model. Zbl 1031.92027
Aziz-Alaoui, M. A.
92
2002
Variational approach for nonlinear oscillators. Zbl 1152.34327
He, Ji-Huan
91
2007
Design of adaptive sliding mode controller for chaos synchronization with uncertainties. Zbl 1060.93536
Yau, Her-Terng
91
2004
Controlling and synchronizing chaotic Genesio system via nonlinear feedback control. Zbl 1044.93026
Chen, Maoyin; Han, Zhengzhi
91
2003
Time-space fabric underlying anomalous diffusion. Zbl 1098.60078
Chen, W.
91
2006
Sequential synchronization of two Lorenz systems using active control. Zbl 0985.37106
Bai, Er-Wei; Lonngren, Karl E.
90
2000
Complex dynamics of a Holling type II prey-predator system with state feedback control. Zbl 1203.34071
Jiang, Guirong; Lu, Qishao; Qian, Linning
90
2007
Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations. Zbl 1027.35115
Wazwaz, A. M.
89
2002
Hidden extreme multistability in memristive hyperchaotic system. Zbl 1373.34069
Bao, B. C.; Bao, H.; Wang, N.; Chen, M.; Xu, Q.
89
2017
A numerical simulation and explicit solutions of KdV-Burgers’ and Lax’s seventh-order KdV equations. Zbl 1099.35521
Soliman, A. A.
89
2006
Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics. Zbl 1030.35136
Fan, Engui
88
2003
Periodic and solitary-wave solutions of the Degasperis-Procesi equation. Zbl 1049.35162
Vakhnenko, V. O.; Parkes, E. J.
88
2004
On redefining a snap-back repeller. Zbl 1077.37027
Marotto, F. R.
87
2005
Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation. Zbl 1092.37054
Wang, Mingliang; Li, Xiangzheng
87
2005
The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations. Zbl 1070.35076
Wazwaz, Abdul-Majid
84
2005
Chaotic dynamics and synchronization of fractional-order Arneodo’s systems. Zbl 1074.65146
Lu, Jun Guo
84
2005
Solution of fractional integro-differential equations by using fractional differential transform method. Zbl 1197.45001
Arikoglu, Aytac; Ozkol, Ibrahim
81
2009
On the generalized Lorenz canonical form. Zbl 1100.37016
Čelikovský, Sergej; Chen, Guanrong
80
2005
On the Fibonacci \(k\)-numbers. Zbl 1158.11306
Falcón, Sergio; Plaza, Ángel
80
2007
Bifurcation and chaos in discrete - time predator - prey system. Zbl 1085.92045
Jing, Zhujun; Yang, Jianping
80
2006
Bifurcations of a predator-prey system of Holling and Leslie types. Zbl 1156.34029
Li, Yilong; Xiao, Dongmei
79
2007
Chaos of discrete dynamical systems in complete metric spaces. Zbl 1067.37047
Shi, Yuming; Chen, Guanrong
78
2004
On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations. Zbl 1069.35080
Zayed, E. M. E.; Zedan, H. A.; Gepreel, K. A.
77
2004
Chua’s circuit model with Atangana-Baleanu derivative with fractional order. Zbl 1360.34160
Alkahtani, Badr Saad T.
77
2016
Delay-dependent exponential stability of cellular neural networks with time-varying delays. Zbl 1094.34055
Zhang, Qiang; Wei, Xiaopeng; Xu, Jin
76
2005
A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach. Zbl 1072.92004
Cao, Jinde; Ho, Daniel W. C.
76
2005
Lag synchronization of hyperchaos with application to secure communications. Zbl 1068.94004
Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo
75
2005
On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays. Zbl 1098.37070
Li, Xiuling; Wei, Junjie
75
2005
Horseshoes in piecewise continuous maps. Zbl 1053.37006
Yang, Xiao-Song; Tang, Yun
75
2004
Modified projective synchronization of chaotic system. Zbl 1134.37331
Li, Guo-Hui
75
2007
On the unification of heterotic strings, M theory and \({\mathcal E}^{(\infty)}\) theory. Zbl 1008.81511
El Naschie, M. S.
74
2000
A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation. Zbl 1030.37047
Vakhnenko, V. O.; Parkes, E. J.; Morrison, A. J.
74
2003
Global chaos synchronization of new chaotic systems via nonlinear control. Zbl 1102.37302
Chen, Hsien-Keng
74
2005
Synchronization criteria of Lur’e systems with time-delay feedback control. Zbl 1086.93050
Cao, Jinde; Li, H. X.; Ho, Daniel W. C.
74
2005
Analysis of a 3D chaotic system. Zbl 1148.37027
Tigan, Gheorghe; Opriş, Dumitru
74
2008
Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model. Zbl 1360.35094
Algahtani, Obaid Jefain Julaighim
73
2016
Calculation of Lyapunov exponents for dynamic systems with discontinuities. Zbl 1080.34540
Müller, Peter C.
73
1995
Generalized synchronization in chaotic systems. Zbl 0946.34040
Yang, S. S.; Duan, C. K.
72
1998
Globally exponentially robust stability and periodicity of delayed neural networks. Zbl 1061.94552
Cao, Jinde; Chen, Tianping
72
2004
Controllability of impulsive functional differential systems with infinite delay in Banach spaces. Zbl 1136.93006
Chang, Yong-Kui
72
2007
Fractional-order dynamical models of love. Zbl 1133.91539
Ahmad, Wajdi M.; El-Khazali, Reyad
70
2007
An application of the decomposition method for the generalized KdV and RLW equations. Zbl 1030.35139
Kaya, Doǧan; El-Sayed, Salah M.
69
2003
A simple global synchronization criterion for coupled chaotic systems. Zbl 1065.70015
Jiang, Guoping; Tang, Wallace Kit-Sang; Chen, Guanrong
69
2003
The study of predator–prey system with defensive ability of prey and impulsive perturbations on the predator. Zbl 1081.34041
Zhang, Shuwen; Dong, Lingzhen; Chen, Lansun
69
2005
On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions. Zbl 1355.34012
Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed
69
2016
Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions. Zbl 1134.35066
Lu, Jun Guo
69
2008
Exp-function method and its application to nonlinear equations. Zbl 1153.35384
Wu, Xu-Hong (Benn); He, Ji-Huan
68
2008
New insights on fuzzy sampled-data stabilization of delayed nonlinear systems. Zbl 07581695
Saravanakumar, Ramasamy; Datta, Rupak; Cao, Yang
1
2022
A theoretical study of the Caputo-Fabrizio fractional modeling for hearing loss due to mumps virus with optimal control. Zbl 07514528
Mohammadi, Hakimeh; Kumar, Sunil; Rezapour, Shahram; Etemad, Sina
42
2021
A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems. Zbl 07511355
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy
9
2021
Spectral entropy analysis and synchronization of a multi-stable fractional-order chaotic system using a novel neural network-based chattering-free sliding mode technique. Zbl 07514497
Xiong, Pei-Ying; Jahanshahi, Hadi; Alcaraz, Raúl; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alsaadi, Fawaz E.
9
2021
On the variable-order fractional memristor oscillator: data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control. Zbl 07514593
Li, Jun-Feng; Jahanshahi, Hadi; Kacar, Sezgin; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alotaibi, Naif D.; Alharbi, Khalid H.
9
2021
Assessing the role of quarantine and isolation as control strategies for COVID-19 outbreak: a case study. Zbl 07514524
Memon, Zaibunnisa; Qureshi, Sania; Memon, Bisharat Rasool
7
2021
Deep recurrent neural networks with finite-time terminal sliding mode control for a chaotic fractional-order financial system with market confidence. Zbl 07526774
Wang, Yong-Long; Jahanshahi, Hadi; Bekiros, Stelios; Bezzina, Frank; Chu, Yu-Ming; Aly, Ayman A.
6
2021
A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations. Zbl 07544050
Djennadi, Smina; Shawagfeh, Nabil; Abu Arqub, Omar
6
2021
Discrete-time macroeconomic system: bifurcation analysis and synchronization using fuzzy-based activation feedback control. Zbl 07511305
Zhou, Shuang-Shuang; Jahanshahi, Hadi; Din, Qamar; Bekiros, Stelios; Alcaraz, Raúl; Alassafi, Madini O.; Alsaadi, Fawaz E.; Chu, Yu-Ming
6
2021
On the development of variable-order fractional hyperchaotic economic system with a nonlinear model predictive controller. Zbl 07514554
Jahanshahi, Hadi; Sajjadi, Samaneh Sadat; Bekiros, Stelios; Aly, Ayman A.
6
2021
Mathematical modeling of coronavirus disease COVID-19 dynamics using CF and ABC non-singular fractional derivatives. Zbl 07514611
Panwar, Virender Singh; Sheik Uduman, P. S.; Gómez-Aguilar, J. F.
6
2021
Artificial macro-economics: a chaotic discrete-time fractional-order laboratory model. Zbl 07514626
Chu, Yu-Ming; Bekiros, Stelios; Zambrano-Serrano, Ernesto; Orozco-López, Onofre; Lahmiri, Salim; Jahanshahi, Hadi; Aly, Ayman A.
6
2021
Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation. Zbl 07511386
Kumar, Sachin; Kumar, Dharmendra; Kumar, Amit
5
2021
A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19. Zbl 07512518
Jahanshahi, Hadi; Munoz-Pacheco, Jesus M.; Bekiros, Stelios; Alotaibi, Naif D.
5
2021
Delayed hepatitis B epidemic model with stochastic analysis. Zbl 07526738
Din, Anwarud; Li, Yongjin; Yusuf, Abdullahi
4
2021
New illustrative applications of integral transforms to financial models with different fractional derivatives. Zbl 07526770
Akgül, Esra Karatas; Akgül, Ali; Yavuz, Mehmet
4
2021
Numerical and bifurcation analysis of SIQR model. Zbl 07544056
Ahmed, Nauman; Raza, Ali; Rafiq, Muhammad; Ahmadian, Ali; Batool, Namra; Salahshour, Soheil
4
2021
A mathematical model to examine the effect of quarantine on the spread of coronavirus. Zbl 07511329
Babaei, A.; Ahmadi, M.; Jafari, H.; Liya, A.
4
2021
Simulation and experimental validation of a non-equilibrium chaotic system. Zbl 07512440
Jahanshahi, Hadi; Orozco-López, Onofre; Munoz-Pacheco, Jesus M.; Alotaibi, Naif D.; Volos, Christos; Wang, Zhen; Sevilla-Escoboza, R.; Chu, Yu-Ming
4
2021
Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics. Zbl 07514495
Liu, Fei-Yan; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Deng, Gao-Fu; Jia, Ting-Ting
4
2021
Fractional model of COVID-19 applied to Galicia, Spain and Portugal. Zbl 07514521
Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.
4
2021
Modeling of measles epidemic with optimized fractional order under Caputo differential operator. Zbl 07514617
Qureshi, Sania; Jan, Rashid
4
2021
A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel. Zbl 07526754
Boudaoui, Ahmed; El hadj Moussa, Yacine; Hammouch, Zakia; Ullah, Saif
3
2021
A novel fuzzy mixed \(\mathbf{H}_2 /\mathbf{H}_\infty\) optimal controller for hyperchaotic financial systems. Zbl 07526771
Bekiros, Stelios; Jahanshahi, Hadi; Bezzina, Frank; Aly, Ayman A.
3
2021
Heterogeneity of reputation increment driven by individual influence promotes cooperation in spatial social dilemma. Zbl 07526779
Wang, Jianwei; He, Jialu; Yu, Fengyuan
3
2021
Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: theorems and applications. Zbl 07526783
Al-Smadi, Mohammed; Arqub, Omar Abu; Zeidan, Dia
3
2021
Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber. Zbl 1491.78015
Yang, Dan-Yu; Tian, Bo; Qu, Qi-Xing; Zhang, Chen-Rong; Chen, Su-Su; Wei, Cheng-Cheng
3
2021
Symbolic computation on a \((2+1)\)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system for the water waves. Zbl 1491.76014
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui
3
2021
A complex fractional mathematical modeling for the love story of Layla and Majnun. Zbl 07544019
Kumar, Pushpendra; Erturk, Vedat Suat; Murillo-Arcila, Marina
3
2021
Results on system of atangana-baleanu fractional order Willis aneurysm and nonlinear singularly perturbed boundary value problems. Zbl 07511317
Panda, Sumati Kumari; Ravichandran, C.; Hazarika, Bipan
3
2021
SEAIR epidemic spreading model of COVID-19. Zbl 07511320
Basnarkov, Lasko
3
2021
Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks. Zbl 07511400
Xu, Changjin; Liao, Maoxin; Li, Peiluan; Yuan, Shuai
3
2021
A class of time-fractional Dirac type operators. Zbl 07512485
Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan
3
2021
New concept in calculus: piecewise differential and integral operators. Zbl 07514590
Atangana, Abdon; İğret Araz, Seda
3
2021
A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus. Zbl 07514605
Zhou, Ping; Yao, Zhao; Ma, Jun; Zhu, Zhigang
3
2021
A new fractional dynamic cobweb model based on nonsingular kernel derivatives. Zbl 07514609
Salahshour, Soheil; Ahmadian, Ali; Allahviranloo, Tofigh
3
2021
Binary Darboux transformation for general matrix mKdV equations and reduced counterparts. Zbl 07526731
Ma, Wen-Xiu
2
2021
Underlying dynamics of crime transmission with memory. Zbl 07526737
Pritam, Kocherlakota Satya; Sugandha; Mathur, Trilok; Agarwal, Shivi
2
2021
Pricing of vulnerable options under hybrid stochastic and local volatility. Zbl 07526743
Kim, Donghyun; Choi, Sun-Yong; Yoon, Ji-Hun
2
2021
A new approach to fractals via best proximity point. Zbl 07526746
Altun, Ishak; Sahin, Hakan; Aslantas, Mustafa
2
2021
Sensitivity assessment and optimal economic evaluation of a new COVID-19 compartmental epidemic model with control interventions. Zbl 07526777
Asamoah, Joshua Kiddy K.; Jin, Zhen; Sun, Gui-Quan; Seidu, Baba; Yankson, Ernest; Abidemi, Afeez; Oduro, F. T.; Moore, Stephen E.; Okyere, Eric
2
2021
Noise-assisted persistence and recovery of memory state in a memristive spiking neuromorphic network. Zbl 07526782
Surazhevsky, I. A.; Demin, V. A.; Ilyasov, A. I.; Emelyanov, A. V.; Nikiruy, K. E.; Rylkov, V. V.; Shchanikov, S. A.; Bordanov, I. A.; Gerasimova, S. A.; Guseinov, D. V.; Malekhonova, N. V.; Pavlov, D. A.; Belov, A. I.; Mikhaylov, A. N.; Kazantsev, V. B.; Valenti, D.; Spagnolo, B.; Kovalchuk, M. V.
2
2021
Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator. Zbl 07526792
Ahmad, Shabir; Ullah, Aman; Akgül, Ali
2
2021
An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain. Zbl 07526800
Nisar, Kottakkaran Sooppy; Jothimani, K.; Kaliraj, K.; Ravichandran, C.
2
2021
Fixed-time synchronization of coupled memristive complex-valued neural networks. Zbl 1485.34071
Feng, Liang; Hu, Cheng; Yu, Juan; Jiang, Haijun; Wen, Shiping
2
2021
Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma. Zbl 1485.35112
Chen, Su-Su; Tian, Bo; Qu, Qi-Xing; Li, He; Sun, Yan; Du, Xia-Xia
2
2021
An existence result for Hadamard type two dimensional fractional functional integral equations via measure of noncompactness. Zbl 1486.45006
Deep, Amar; Deepmala; Hazarika, Bipan
2
2021
Generalized Fejér-Hermite-Hadamard type via generalized \((h-m)\)-convexity on fractal sets and applications. Zbl 1486.26016
Almutairi, Ohud; Kiliçman, Adem
2
2021
A fractional-order differential equation model of COVID-19 infection of epithelial cells. Zbl 1486.92211
Chatterjee, Amar Nath; Ahmad, Bashir
2
2021
Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network. Zbl 07544009
Rehman, Attiq ul; Singh, Ram; Agarwal, Praveen
2
2021
Eco-evolutionary dynamics with payoff-dependent environmental feedback. Zbl 07544018
Cao, Lixuan; Wu, Bin
2
2021
Fractional time-delay mathematical modeling of oncolytic virotherapy. Zbl 07544046
Kumar, Pushpendra; Erturk, Vedat Suat; Yusuf, Abdullahi; Kumar, Sunil
2
2021
Fractal-fractional order mathematical vaccine model of COVID-19 under non-singular kernel. Zbl 07544071
Algehyne, Ebrahem A.; Ibrahim, Muhammad
2
2021
Conformable space-time fractional nonlinear \((1+1)\)-dimensional Schrödinger-type models and their traveling wave solutions. Zbl 07544093
Darvishi, M. T.; Najafi, Mohammad; Wazwaz, Abdul-Majid
2
2021
Strict dissipativity synchronization for delayed static neural networks: an event-triggered scheme. Zbl 07544111
Vadivel, R.; Hammachukiattikul, P.; Gunasekaran, Nallappan; Saravanakumar, R.; Dutta, Hemen
2
2021
Vector bright soliton interactions of the two-component AB system in a baroclinic fluid. Zbl 07511295
Ding, Cui-Cui; Gao, Yi-Tian; Hu, Lei; Deng, Gao-Fu; Zhang, Cai-Yin
2
2021
SIRSi compartmental model for COVID-19 pandemic with immunity loss. Zbl 07511315
Batistela, Cristiane M.; Correa, Diego P. F.; Bueno, Átila M.; Piqueira, José Roberto C.
2
2021
Investigation of fractional order tuberculosis (TB) model via Caputo derivative. Zbl 07511362
Ullah, Ihsan; Ahmad, Saeed; Rahman, Mati ur; Arfan, Muhammad
2
2021
A novel grey model based on traditional Richards model and its application in COVID-19. Zbl 07511363
Luo, Xilin; Duan, Huiming; Xu, Kai
2
2021
The impact of distributed time delay in a tumor-immune interaction system. Zbl 07511366
Sardar, Mrinmoy; Biswas, Santosh; Khajanchi, Subhas
2
2021
Environmental feedback in spatial public goods game. Zbl 07511368
Yang, Luhe; Zhang, Lianzhong
2
2021
A model of solitary waves in a nonlinear elastic circular rod: abundant different type exact solutions and conservation laws. Zbl 07512432
Çelik, Nisa; Seadawy, Aly R.; Sağlam Özkan, Yeşim; Yaşar, Emrullah
2
2021
Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system. Zbl 07512434
Hasan, Shatha; Al-Smadi, Mohammed; El-Ajou, Ahmad; Momani, Shaher; Hadid, Samir; Al-Zhour, Zeyad
2
2021
Memory effect on Bazykin’s prey-predator model: stability and bifurcation analysis. Zbl 07512438
Ghosh, Uttam; Pal, Swadesh; Banerjee, Malay
2
2021
Stochastic dynamical probes in a triple delayed SICR model with general incidence rate and immunization strategies. Zbl 07512441
M, Pitchaimani; M, Brasanna Devi
2
2021
New integral inequalities for differentiable convex functions via Atangana-Baleanu fractional integral operators. Zbl 07512453
Set, Erhan; Butt, Saad Ihsan; Akdemir, Ahmet Ocak; Karaoǧlan, Ali; Abdeljawad, Thabet
2
2021
On nonlinear hybrid fractional differential equations with Atangana-Baleanu-Caputo derivative. Zbl 07512456
Sutar, Sagar T.; Kucche, Kishor D.
2
2021
Numerical solution of hybrid mathematical model of dengue transmission with relapse and memory via Adam-bashforth-Moulton predictor-corrector scheme. Zbl 07512462
Agarwal, Praveen; Singh, Ram; ul Rehman, Attiq
2
2021
Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation. Zbl 07512474
Jhangeer, Adil; Hussain, Amjad; Junaid-U-Rehman, M.; Baleanu, Dumitru; Riaz, Muhammad Bilal
2
2021
Pool-rewarding in N-person snowdrift game. Zbl 07512486
Li, Kun; Mao, Yizhou; Wei, Zhenlin; Cong, Rui
2
2021
Robust exponential stability of fractional-order coupled quaternion-valued neural networks with parametric uncertainties and impulsive effects. Zbl 07512492
Li, Hong-Li; Kao, Yonggui; Hu, Cheng; Jiang, Haijun; Jiang, Yao-Lin
2
2021
An epidemiological model with voluntary quarantine strategies governed by evolutionary game dynamics. Zbl 07512509
Amaral, Marco A.; Oliveira, Marcelo M. de; Javarone, Marco A.
2
2021
Cross-correlations between price and volume in China’s crude oil futures market: a study based on multifractal approaches. Zbl 07514513
Zhang, Shuchang; Guo, Yaoqi; Cheng, Hui; Zhang, Hongwei
2
2021
Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique. Zbl 07514529
Seadawy, Aly R.; Bilal, M.; Younis, M.; Rizvi, S. T. R.; Althobaiti, Saad; Makhlouf, M. M.
2
2021
Computational analysis of different pseudoplatystoma species patterns the Caputo-Fabrizio derivative. Zbl 07514534
Owolabi, Kolade M.
2
2021
Fractional aspects of coupled mass-spring system. Zbl 07514536
Zafar, Zain Ul Abadin; Younas, Samina; Hussain, Muhammad Tanveer; Tunç, Cemil
2
2021
A SIR-type model describing the successive waves of COVID-19. Zbl 07514540
Muñoz-Fernández, Gustavo A.; Seoane, Jesús M.; Seoane-Sepúlveda, Juan B.
2
2021
Stochastic resonance in a metal-oxide memristive device. Zbl 07514575
Mikhaylov, A. N.; Guseinov, D. V.; Belov, A. I.; Korolev, D. S.; Shishmakova, V. A.; Koryazhkina, M. N.; Filatov, D. O.; Gorshkov, O. N.; Maldonado, D.; Alonso, F. J.; Roldán, J. B.; Krichigin, A. V.; Agudov, N. V.; Dubkov, A. A.; Carollo, A.; Spagnolo, B.
2
2021
Effects of fear in a fractional-order predator-prey system with predator density-dependent prey mortality. Zbl 07514596
Yousef, Fatma Bozkurt; Yousef, Ali; Maji, Chandan
2
2021
A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability. Zbl 07514612
Zhang, Sen; Zheng, Jiahao; Wang, Xiaoping; Zeng, Zhigang
2
2021
Dynamical aspects of pine wilt disease and control measures. Zbl 07514615
Hussain, Takasar; Aslam, Adnan; Ozair, Muhammad; Tasneem, Fatima; Gómez-Aguilar, J. F.
2
2021
Numerical approximations to the nonlinear fractional-order logistic population model with fractional-order Bessel and Legendre bases. Zbl 07514629
Izadi, Mohammad; Srivastava, H. M.
2
2021
Mathematical analysis of a stochastic model for spread of coronavirus. Zbl 07514638
Babaei, A.; Jafari, H.; Banihashemi, S.; Ahmadi, M.
2
2021
A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation. Zbl 07514641
Liu, Tianming; Yan, Huizhen; Banerjee, Santo; Mou, Jun
2
2021
Numerical simulation of a degenerate parabolic problem occurring in the spatial diffusion of biological population. Zbl 07568907
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A.
2
2021
Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats. Zbl 07568947
Zafar, Zain Ul Abadin; Ali, Nigar; Baleanu, Dumitru
2
2021
A fractional-order model for CoViD-19 dynamics with reinfection and the importance of quarantine. Zbl 07568960
Maurício de Carvalho, João P. S.; Moreira-Pinto, Beatriz
2
2021
Predicting the dynamical behavior of COVID-19 epidemic and the effect of control strategies. Zbl 07526730
Shakhany, Mohammad Qaleh; Salimifard, Khodakaram
1
2021
Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya-Szegö inequality with applications. Zbl 07526755
Set, Erhan; Kashuri, Artion; Mumcu, İlker
1
2021
Forecasting of COVID-19 using deep layer recurrent neural networks (RNNs) with gated recurrent units (GRUs) and long short-term memory (LSTM) cells. Zbl 07526756
ArunKumar, K. E.; Kalaga, Dinesh V.; Kumar, Ch. Mohan Sai; Kawaji, Masahiro; Brenza, Timothy M.
1
2021
Public goods game with the interdependence of different cooperative strategies. Zbl 07526766
Wang, Chaoqian; Pan, Qiuhui; Ju, Xinxiang; He, Mingfeng
1
2021
Propagation of chirped periodic and localized waves with higher-order effects through optical fibers. Zbl 07526768
Daoui, Abdel Kader; Messouber, Abdelouahab; Triki, Houria; Zhou, Qin; Biswas, Anjan; Liu, Wenjun; Alzahrani, Abdullah K.; Belic, Milivoj R.
1
2021
Global dynamics of a tuberculosis model with sensitivity of the smear microscopy. Zbl 07526772
Das, Dhiraj Kumar; Kar, T. K.
1
2021
Dynamic analysis of a soil organic matter and plant system with reaction-diffusion. Zbl 07526775
Pan, Shiliang; Zhang, Qimin; Meyer-Baese, Anke
1
2021
The complexity analysis and chaos control in omni-channel supply chain with consumer migration and advertising cost sharing. Zbl 07526776
Chen, Xingli; Zhou, Jianheng
1
2021
Boundary control strategy for three kinds of fractional heat equations with control-matched disturbances. Zbl 07526778
Cai, Rui-Yang; Zhou, Hua-Cheng; Kou, Chun-Hai
1
2021
\(D\)-dimensional oscillators in simplicial structures: odd and even dimensions display different synchronization scenarios. Zbl 07526780
Dai, X.; Kovalenko, K.; Molodyk, M.; Wang, Z.; Li, X.; Musatov, D.; Raigorodskii, A. M.; Alfaro-Bittner, K.; Cooper, G. D.; Bianconi, G.; Boccaletti, S.
1
2021
On Caputo-Hadamard uncertain fractional differential equations. Zbl 07526786
Liu, Yiyu; Zhu, Yuanguo; Lu, Ziqiang
1
2021
An efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysis. Zbl 07526788
Sadri, Khadijeh; Aminikhah, Hossein
1
2021
A fractional order Zika virus model with Mittag-Leffler kernel. Zbl 07526790
Begum, Razia; Tunç, Osman; Khan, Hasib; Gulzar, Haseena; Khan, Aziz
1
2021
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267 Băleanu, Dumitru I.
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173 El Naschie, Mohamed Saladin
165 Chen, Guanrong
142 Dehghan Takht Fooladi, Mehdi
141 Chen, Lansun
139 Hayat, Tasawar
137 Wang, Xingyuan
128 Han, Maoan
114 Al-saedi, Ahmed Eid Salem
113 Teng, Zhi-dong
111 Abdeljawad, Thabet
111 Park, Juhyun (Jessie)
99 Liao, Xiaofeng
95 Zhong, Shou-Ming
89 Xu, Wei
87 Ma, Wen-Xiu
85 Tian, Lixin
84 Jafari, Sajad
82 Biswas, Anjan
82 Momani, Shaher M.
81 Yıldırım, Ahmet
80 Gómez-Aguilar, José Francisco
80 Vaidyanathan, Sundarapandian
77 Pham, Viet-Thanh
76 Balasubramaniam, Pagavathigounder
75 Atangana, Abdon
75 Shah, Kamal
73 Kudryashov, Nikolaĭ Alekseevich
70 Ahmad, Bashir
70 Inc, Mustafa
69 Jiang, Daqing
69 Li, Jibin
67 Gardini, Laura
66 Ganji, Davood Domiri
66 Jiang, Haijun
66 Tian, Bo
65 Yang, Xiaosong
65 Zhang, Yufeng
64 Li, Xiaodi
63 Khalique, Chaudry Masood
62 Llibre, Jaume
62 Nieto Roig, Juan Jose
62 Rezapour, Shahram
61 Huang, Lihong
61 Zhang, Wei
60 Kumar Upadhyay, Ranjit
57 Abbasbandy, Saeid
57 Agarwal, Ravi P.
57 Li, Chuandong
57 Xu, Rui
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56 Mohyud-Din, Syed Tauseef
56 Noorani, Mohd Salmi Mohd
54 Jarad, Fahd
54 Li, Yongkun
54 Ma, Junhai
54 Zhang, Hongqing
53 Kwon, O. M.
53 Liu, Xinzhi
53 Yang, Qigui
52 Odibat, Zaid M.
52 Rakkiyappan, Rajan
52 Zhang, Tonghua
51 Bekir, Ahmet
51 Hashim, Ishak
50 Kapitaniak, Tomasz
50 Song, Xinyu
50 Xu, Changjin
49 Machado, José António Tenreiro
48 Meng, Xinzhu
48 Owolabi, Kolade Matthew
48 Yan, Jun-Juh
46 Dong, Huanhe
46 Li, Changpin
45 Akgül, Ali
45 Fang, Jian’an
45 Ouannas, Adel
45 Rajagopal, Karthikeyan
45 Salahshour, Soheil
45 Xia, Yonghui
44 Giné, Jaume
44 Luo, Albert C. J.
44 Zayed, Elsayed M. E.
43 El-Nabulsi, Rami Ahmad
43 Liu, Zhengrong
43 Sprott, Julien Clinton
43 Wei, Junjie
43 Zhang, Sheng
42 Bi, Qinsheng
42 Chu, Yuming
42 Gao, Yitian
42 Wang, Jiang
42 Xia, Tie-Cheng
41 Allahviranloo, Tofigh
41 Hu, Cheng
41 Huang, Tingwen
41 Jafari, Hossein
41 Kurths, Jürgen
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