Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2019, volume 127, articles C

An asymptotic expansion method for geometric Asian options pricing under the double Heston model pp. 1-9

Sumei Zhang and Xiong Gao

Crank–Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana–Baleanu Caputo derivative pp. 10-16

Ali Akgül and Mahmut Modanli

Random walk and broad distributions on fractal curves pp. 17-23

Seema Satin and A.D. Gangal

On chaotic models with hidden attractors in fractional calculus above power law pp. 24-30

Emile Franc Doungmo Goufo

Numerical analyses of the vibrational resonance occurrence in a nonlinear dissipative system pp. 31-37

B.I. Usama, S. Morfu and P. Marquié

A fractional mathematical model of breast cancer competition model pp. 38-54

J.E. Solís-Pérez, J.F. Gómez-Aguilar and A. Atangana

Dynamics of a time-delayed SIR epidemic model with logistic growth and saturated treatment pp. 55-69

Eric Avila-Vales and Ángel G.C. Pérez

Coexistence of multiple attractors in the tree dynamics pp. 70-82

Y.L. Makenne, R. Kengne and F.B. Pelap

A modified passive walking biped model with two feasible switching patterns of motion to resemble multi-pattern human walking pp. 83-95

Maysam Fathizadeh, Hossein Mohammadi and Sajjad Taghvaei

The stability analysis of tumor-immune responses to chemotherapy system with gaussian white noises pp. 96-102

Wei-Long Duan, Hui Fang and Chunhua Zeng

Dynamics of echinococcosis transmission among multiple species and a case study in Xinjiang, China pp. 103-109

Guanghu Zhu, Sixing Chen, Benyun Shi, Hongjun Qiu and Shang Xia

Emission of electromagnetic waves from walls of esophagus under domination of wall slip effect pp. 110-117

Anum Tanveer and T. Salahuddin

Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and Gaussian white noise pp. 118-126

Yongfeng Guo, Linjie Wang, Fang Wei and Jianguo Tan

Poincaré maps design for the stabilization of limit cycles in non-autonomous nonlinear systems via time-piecewise-constant feedback controllers with application to the chaotic Duffing oscillator pp. 127-145

Hassène Gritli

Modeling and simulation of nonlinear dynamical system in the frame of nonlocal and non-singular derivatives pp. 146-157

Kolade M. Owolabi and Edson Pindza

Analysis of the fractional diffusion equations described by Atangana-Baleanu-Caputo fractional derivative pp. 158-164

Ndolane Sene and Karima Abdelmalek

Critical sectional area of surge chamber considering nonlinearity of head loss of diversion tunnel and steady output of turbine pp. 165-172

Daoyi Zhu and Wencheng Guo

On the oscillation of Caputo fractional differential equations with Mittag–Leffler nonsingular kernel pp. 173-177

Bahaaeldin Abdalla and Thabet Abdeljawad

Effect of the fractional foundation on the response of beam structure submitted to moving and wind loads pp. 178-188

L.M. Anague Tabejieu, B.R. Nana Nbendjo and G. Filatrella

Modeling the transmission of dengue infection through fractional derivatives pp. 189-216

Rashid Jan, Muhammad Altaf Khan, Poom Kumam and Phatiphat Thounthong

Nonlinear interaction of domain walls and breathers with a spin-wave field pp. 217-225

V.V. Kiselev, A.A. Raskovalov and S.V. Batalov

Differential and integral operators with constant fractional order and variable fractional dimension pp. 226-243

Abdon Atangana and Anum Shafiq

H∞ synchronization of uncertain stochastic time-varying delay systems with exogenous disturbance via intermittent control pp. 244-256

Kui Ding and Quanxin Zhu

Analysis of a new partial integro-differential equation with mixed fractional operators pp. 257-271

Abdon Atangana and Seda İğret Araz

Electronic implementation of a dynamical network with nearly identical hybrid nodes via unstable dissipative systems pp. 272-282

A. Anzo-Hernández, M. García-Martínez, E. Campos-Cantón and L.J. Ontañón-García

Modeling cryptocurrencies transaction counts using variable-order Fractional Grey Lotka-Volterra dynamical system pp. 283-290

P. Gatabazi, Jules Clement Mba and E. Pindza

A computational method to price with transaction costs under the nonlinear Black–Scholes model pp. 291-301

Al–Zhour, Zeyad, Mahdiar Barfeie, Fazlollah Soleymani and Emran Tohidi

Solitons in the stripe domain structure of an easy-axis ferromagnet pp. 302-311

V.V. Kiselev and A.A. Raskovalov

Existence and multiplicity for some boundary value problems involving Caputo and Atangana–Baleanu fractional derivatives: A variational approach pp. 312-317

Amjad Salari and Behzad Ghanbari

Multifractality of meteorological time series for Poland on the base of MERRA-2 data pp. 318-333

Piotr Baranowski, Magdalena Gos, Jaromir Krzyszczak, Krzysztof Siwek, Adam Kieliszek and Przemysław Tkaczyk

Decomposing the persistence structure of Islamic and green crypto-currencies with nonlinear stepwise filtering pp. 334-341

Salim Lahmiri and Stelios Bekiros

Homotopy analysis method for approximations of Duffing oscillator with dual frequency excitations pp. 342-353

Guoqi Zhang and Zhiqiang Wu

Two-memristor-based chaotic system and its extreme multistability reconstitution via dimensionality reduction analysis pp. 354-363

Yunzhen Zhang, Zhong Liu, Huagan Wu, Shengyao Chen and Bocheng Bao

On the dynamics of fractional maps with power-law, exponential decay and Mittag–Leffler memory pp. 364-388

L.F. Ávalos-Ruiz, J.F. Gómez-Aguilar, A. Atangana and Kolade M. Owolabi

Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag–Leffler non-singular kernel pp. 389-399

M. Hosseininia and M.H. Heydari

Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag–Leffler non-singular kernel pp. 400-407

M. Hosseininia and M.H. Heydari

Revealing the background of groundwater level dynamics: Contributing factors, complex modeling and engineering applications pp. 408-421

Srđan Kostić, Milan Stojković, Iva Guranov and Nebojša Vasović

Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel pp. 422-427

Aziz Khan, Hasib Khan, J.F. Gómez-Aguilar and Thabet Abdeljawad

Sensitivity analysis of chaotic vibrations of a full vehicle model with magnetorheological damper pp. 428-442

Mahya Boreiry, Salman Ebrahimi-Nejad and Javad Marzbanrad

2019, volume 126, articles C

Equicontinuity of maps on dendrites pp. 1-6

Javier Camargo, Michael Rincón and Carlos Uzcátegui

Fundamental results on weighted Caputo–Fabrizio fractional derivative pp. 7-11

Mohammed Al-Refai and Abdulla M. Jarrah

Escaping from a degenerate version of the four hill potential pp. 12-22

Euaggelos E. Zotos, Wei Chen and Christof Jung

Temporal behaviour of bright solitons in photorefractive crystals having both the linear and quadratic electro-optic effect pp. 23-31

Aavishkar Katti

Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator pp. 32-40

Sania Qureshi and Abdullahi Yusuf

Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative pp. 41-49

Kolade M. Owolabi and Abdon Atangana

Validity of fractal derivative to capturing chaotic attractors pp. 50-59

Abdon Atangana and Muhammad Altaf Khan

Impacts of node arrangements on synchronization of a ring oscillatory power network pp. 60-65

Li-xin Yang, Jun Jiang and Xiao-jun Liu

A financial hyperchaotic system with coexisting attractors: Dynamic investigation, entropy analysis, control and synchronization pp. 66-77

Hadi Jahanshahi, Amin Yousefpour, Zhouchao Wei, Raúl Alcaraz and Stelios Bekiros

Stochastic sensitivity analysis of chaotic attractors in 2D non-invertible maps pp. 78-84

I. Bashkirtseva and L. Ryashko

Fixed-time synchronization control of memristive MAM neural networks with mixed delays and application in chaotic secure communication pp. 85-96

Weiping Wang, Xiao Jia, Xiong Luo, Jürgen Kurths and Manman Yuan

A fractional-order epidemic model with time-delay and nonlinear incidence rate pp. 97-105

F.A. Rihan, Q.M. Al-Mdallal, H.J. AlSakaji and A. Hashish

Dynamics of entanglement and non-classicality features of a single-mode nonlinear Jaynes–Cummings model pp. 106-115

L.E. Thabet, T.M. El-Shahat, A. Abdel-Aty and B.S.H. Rababh

Abnormal transport behaviors in traveling wave system pp. 116-121

Ruyin Chen, Chaojie Wang and Zhifen He

Fractal dimensions derived from spatial allometric scaling of urban form pp. 122-134

Yanguang Chen, Yihan Wang and Xijing Li

Dynamics of a generalized fashion cycle model pp. 135-147

Iryna Sushko, Laura Gardini and Kiminori Matsuyama

Global dynamics of the multi-lingual SIR rumor spreading model with cross-transmitted mechanism pp. 148-157

Jinling Wang, Haijun Jiang, Tianlong Ma and Cheng Hu

Harvesting in a toxicated intraguild predator–prey fishery model with variable carrying capacity pp. 158-168

Tau Keong Ang and Hamizah M. Safuan

A non-local structural derivative model for memristor pp. 169-177

Lin Qiu, Wen Chen, Fajie Wang and Ji Lin

Differential box counting methods for estimating fractal dimension of gray-scale images: A survey pp. 178-202

Chinmaya Panigrahy, Ayan Seal, Nihar Kumar Mahato and Debotosh Bhattacharjee

A joint multifractal analysis of vector valued non Gibbs measures pp. 203-217

Mohamed Menceur and Anouar Ben Mabrouk

A study on fractional Klein Gordon equation with non-local and non-singular kernel pp. 218-229

Berat Karaagac

Recognition of electroencephalographic patterns related to human movements or mental intentions with multiresolution analysis pp. 230-235

A.N. Pavlov, D.S. Grishina, A.E. Runnova, V.A. Maksimenko, O.N. Pavlova, N.V. Shchukovsky, A.E. Hramov and J. Kurths

A fractal roughness model for the transport of fractional non-Newtonian fluid in microtubes pp. 236-241

Xu Yang, Yingjie Liang and Wen Chen

Complex dynamic behaviors of a congestion control system under a novel PD1n control law: Stability, bifurcation and periodic oscillations pp. 242-252

Qiu Lu, Min Xiao, Binbin Tao, Chengdai Huang, Shuo Shi, Zhengxin Wang and Guoping Jiang

Modeling learning and teaching interaction by a map with vanishing denominators: Fixed points stability and bifurcations pp. 253-265

Ugo Merlone, Anastasiia Panchuk and Paul van Geert

A novel method to solve variable-order fractional delay differential equations based in lagrange interpolations pp. 266-282

C.J. Zúñiga-Aguilar, J.F. Gómez-Aguilar, R.F. Escobar-Jiménez and H.M. Romero-Ugalde

Non-backtracking PageRank: From the classic model to hashimoto matrices pp. 283-291

David Aleja, Regino Criado, Alejandro J. García del Amo, Ángel Pérez and Miguel Romance

Fractional X-shape controllable multi-scroll attractor with parameter effect and FPGA automatic design tool software pp. 292-307

Nancy S. Soliman, Mohammed F. Tolba, Lobna A. Said, Ahmed H. Madian and Ahmed G. Radwan

Probabilistic responses of three-dimensional stochastic vibro-impact systems pp. 308-314

Shichao Ma, Liang Wang, Xin Ning, Xiaole Yue and Wei Xu

Fractional difference operators with discrete generalized Mittag–Leffler kernels pp. 315-324

Thabet Abdeljawad

Digital currency forecasting with chaotic meta-heuristic bio-inspired signal processing techniques pp. 325-336

Aytaç Altan, Seçkin Karasu and Stelios Bekiros

Analysis of recent fractional evolution equations and applications pp. 337-350

Emile Franc Doungmo Goufo and Ignace Tchangou Toudjeu

High frequency Colpitts’ oscillator: A simple configuration for chaos generation pp. 351-360

Raoul Blaise Wafo Tekam, Jacques Kengne and Germaine Djuidje Kenmoe

Introducing a chaotic map with a wide range of long-term memory as a model of patch-clamped ion channels current time series pp. 361-368

Alireza Bahramian, Ali Nouri, Golnaz Baghdadi, Shahriar Gharibzadeh, Farzad Towhidkhah and Sajad Jafari

A comparison study of bank data in fractional calculus pp. 369-384

Wanting Wang, Muhammad Altaf Khan, Fatmawati,, P. Kumam and P. Thounthong

Dissipative periodic and chaotic patterns to the KdV–Burgers and Gardner equations pp. 385-393

Stefan C. Mancas and Ronald Adams

Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations pp. 394-402

Omar Abu Arqub and Banan Maayah