Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2019, volume 129, articles C

Heat transfer analysis of generalized Jeffery nanofluid in a rotating frame: Atangana–Balaenu and Caputo–Fabrizio fractional models pp. 1-15

Farhad Ali, Saqib Murtaza, Nadeem Ahmad Sheikh and Ilyas Khan

Synchronization of state-switching hopfield-type neural networks: A quantized level set approach pp. 16-24

Yaxian Hong, Honghua Bin and Zhenkun Huang

Modelling immune systems based on Atangana–Baleanu fractional derivative pp. 25-39

A. Al-khedhairi, A.A. Elsadany and A. Elsonbaty

Novel technique of Atangana and Baleanu for heat dissipation in transmission line of electrical circuit pp. 40-45

Kashif Ali Abro, Ilyas Khan and Kottakkaran Sooppy Nisar

Influence of non-Gaussian noise on the coherent feed-forward loop with time delay pp. 46-55

Min Wang, Yuwen Fang, Yuhui Luo, Fengzao Yang, Chunhua Zeng and Wei-Long Duan

A singular ABC-fractional differential equation with p-Laplacian operator pp. 56-61

Hasib Khan, Fahd Jarad, Thabet Abdeljawad and Aziz Khan

A dynamics stochastic model with HIV infection of CD4+ T-cells driven by Lévy noise pp. 62-70

Yan Cheng, Mingtao Li and Fumin Zhang

The fractal description model of rock fracture networks characterization pp. 71-76

Lili Sui, Jian Yu, Dingbang Cang, Wenjing Miao, Heyuan Wang, Jiwei Zhang, Shuaifeng Yin and Keliang Chang

Impact of expansion of priority range on cooperation in the prisoner's dilemma game pp. 77-80

Qiuling Wang and Chunpeng Du

A stochastic economic growth model with health capital and state-dependent probabilities pp. 81-93

Davide La Torre, Simone Marsiglio, Franklin Mendivil and Fabio Privileggi

Dynamic behavior analysis of a diffusive plankton model with defensive and offensive effects pp. 94-102

Qiuyue Zhao, Shutang Liu and Xinglong Niu

2019, volume 128, articles C

Pointwise equicontinuity of Zadeh’s extension of an interval map pp. 1-4

Taixiang Sun, Guangwang Su and Bin Qin

Stability analysis of nonlinear oscillator networks based on the mechanism of cascading failures pp. 5-15

Yubo Huang, Hongli Dong, Weidong Zhang and Junguo Lu

New insight kinetic modeling: Models above classical chemical mechanic pp. 16-24

Ernestine Atangana

Construction of indicator system of regional economic system impact factors based on fractional differential equations pp. 25-33

Jun Zhang, Xiaoming Fu and Harry Morris

New numerical simulations for some real world problems with Atangana–Baleanu fractional derivative pp. 34-43

Wei Gao, Behzad Ghanbari and Haci Mehmet Baskonus

Research on early warning algorithm for economic management based on Lagrangian fractional calculus pp. 44-50

Xin Su, Keshu Yu and Miao Yu

Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay pp. 51-57

D. Aimene, D. Baleanu and D. Seba

Bursting oscillations and bifurcation mechanism in memristor-based Shimizu–Morioka system with two time scales pp. 58-70

Zihao Wen, Zhijun Li and Xiang Li

Fractal analysis of shallow and intermediate-depth seismicity of Hindu Kush pp. 71-82

Umar Hayat, Adnan Barkat, Aamir Ali, Khaista Rehman, Shazia Sifat and Talat Iqbal

Modeling the heat flow equation with fractional-fractal differentiation pp. 83-91

Ilknur Koca

Research on application of fractional calculus in signal real-time analysis and processing in stock financial market pp. 92-97

Hui Wang

Competition model in groundwater: Three boreholes taping water out from same aquifer pp. 98-103

Rubayyi T. Alqahtani and Abdon Atangana

Size of the set of attractors for iterated function systems pp. 104-107

Paweł Klinga, Adam Kwela and Marcin Staniszewski

Inhibition enhances the coherence in the Jacobi neuronal model pp. 108-113

D’Onofrio, Giuseppe, Petr Lansky and Massimiliano Tamborrino

Bifurcation analysis of dissipative rogue wave in electron-positron-ion plasma with relativistic ions and superthermal electrons pp. 114-122

R.A. Shahein and Jawaher H. El-Shehri

The pricing and numerical analysis of lookback options for mixed fractional Brownian motion pp. 123-128

Qisheng Chen, Qian Zhang and Chuan Liu

On the spatial Julia set generated by fractional Lotka-Volterra system with noise pp. 129-138

Yupin Wang, Shutang Liu, Hui Li and Da Wang

Research on security trust measure model based on fuzzy mathematics pp. 139-143

PengCheng Wei and Fangcheng He

Transitions in consumption behaviors in a peer-driven stochastic consumer network pp. 144-154

Jochen Jungeilges and Tatyana Ryazanova

Stochastic resonance in a high-order time-delayed feedback tristable dynamic system and its application pp. 155-166

Peiming Shi, Wenyue Zhang, Dongying Han and Mengdi Li

Synchronization patterns with strong memory adaptive control in networks of coupled neurons with chimera states dynamics pp. 167-175

P. Vázquez-Guerrero, J.F. Gómez-Aguilar, F. Santamaria and R.F. Escobar-Jiménez

Finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks with delay pp. 176-190

Yanlin Zhang and Shengfu Deng

A new approach to fuzzy sets: Application to the design of nonlinear time series, symmetry-breaking patterns, and non-sinusoidal limit-cycle oscillations pp. 191-202

Vladimir García-Morales

Meteorological sequence prediction based on multivariate space-time auto regression model and fractional calculus grey model pp. 203-209

Li Wang, Yuxin Xie, Xiaoyi Wang, Jiping Xu, Huiyan Zhang, Jiabin Yu, Qian Sun and Zhiyao Zhao

An improved predictive control model for stochastic max-plus-linear systems pp. 210-218

Jingguo Qu, Zilong Zhang and Huiqi Zhang

Evolution of fractional-order chaotic economic systems based on non-degenerate equilibrium points pp. 219-228

Guoxing Zhang, Pengxiao Qian and Zhaoxian Su

Suppression of spiral wave turbulence by means of periodic plane waves in two-layer excitable media pp. 229-233

Zhen Wang, Zahra Rostami, Sajad Jafari, Fawaz E. Alsaadi, Mitja Slavinec and Matjaž Perc

Two step Adams Bashforth method for time fractional Tricomi equation with non-local and non-singular Kernel pp. 234-241

Berat Karaagac

Complexity evolution of chaotic financial systems based on fractional calculus pp. 242-251

Chunhui Wen and Jinhai Yang

Experimental study on vibration instability model of rock slope based on parallel chaotic algorithms pp. 252-260

Liu Han, Shuzhao Chen, Jisen Shu and Tao Shang

Chebyshev–Fourier collocation spectral method for the solution of swirling flow pp. 261-268

Yang Yu, Yurong Zhao, Benwen Li and Tieliu Jiang

Existence of the solution and stability for a class of variable fractional order differential systems pp. 269-274

Jingfei Jiang, Huatao Chen, Juan L.G. Guirao and Dengqing Cao

A numerical method for solving fractional-order viscoelastic Euler–Bernoulli beams pp. 275-279

Chunxiao Yu, Jie Zhang, Yiming Chen, Yujing Feng and Aimin Yang

Computational study of multi-species fractional reaction-diffusion system with ABC operator pp. 280-289

Kolade M. Owolabi and Abdon Atangana

Delay engineered solitary states in complex networks pp. 290-296

Leonhard Schülen, Saptarshi Ghosh, Ajay Deep Kachhvah, Anna Zakharova and Sarika Jalan

An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction pp. 297-305

Parthasakha Das, Sayan Mukherjee and Pritha Das

Lie symmetry and invariants for a generalized Birkhoffian system on time scales pp. 306-312

Yi Zhang

The evolution of cooperation in multi-games with aspiration-driven updating rule pp. 313-317

Yi Jie Huang, Zheng Hong Deng, Qun Song, Tao Wu, Zhi Long Deng and Ming yu Gao

Complex interplay between monetary and fiscal policies in a real economy model pp. 318-330

Fausto Cavalli, Ahmad Naimzada and Nicolò Pecora

Research on trend prediction of internet user intention understanding and public intelligence mining based on fractional differential method pp. 331-338

Shaofei Wu, Qian Zhang, Wenting Chen, Jun Liu and Lizhi Liiu

A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana–Baleanu–Caputo derivative pp. 339-348

M.H. Heydari and A. Atangana

Nonlinear F-contractions on b-metric spaces and differential equations in the frame of fractional derivatives with Mittag–Leffler kernel pp. 349-354

Badr Alqahtani, Andreea Fulga, Fahd Jarad and Erdal Karapınar

Transmission dynamics of fractional order Typhoid fever model using Caputo–Fabrizio operator pp. 355-365

Amjad S. Shaikh and Kottakkaran Sooppy Nisar

Trinition the complex number with two imaginary parts: Fractal, chaos and fractional calculus pp. 366-381

Abdon Atangana and Toufik Mekkaoui

Controlling steady-state entanglement and quantum discord through squeezing angle pp. 382-389

Eman G. El-Hadidy, Ahmed Farouk, Mahmoud Abdel-Aty and S. Ghose

Chaotic dynamics and chaos control for the fractional-order geomagnetic field model pp. 390-401

A. Al-khedhairi, A.E. Matouk and Irfan Khan