Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2017, volume 103, articles C

Mathematical modelling and analysis of two-component system with Caputo fractional derivative order pp. 544-554

Kolade M. Owolabi

Threshold voltage dynamics of chaotic RS flip-Flops pp. 555-566

Aminur Rahman and Denis Blackmore

Extended theory of harmonic maps connects general relativity to chaos and quantum mechanism pp. 567-570

Gang Ren and Yi-Shi Duan

Time-varying multifractal of acoustic emission about coal samples subjected to uniaxial compression pp. 571-577

Xiangguo Kong, Enyuan Wang, Xueqiu He, Dexing Li and Quanlin Liu

Detecting outliers in complex nonlinear systems controlled by predictive control strategy pp. 588-595

Biao Wang, Zhizhong Mao and Keke Huang

Quantitative statistical stability and convergence to equilibrium. An application to maps with indifferent fixed points pp. 596-601

Stefano Galatolo

Complexity and onset of chaos control in a DC glow discharge magnetized plasma using all pass filter pp. 613-621

Vramori Mitra, Infant Solomon, N. Hari Prakash, Arun Sarma and Bornali Sarma

Multistability and organization of periodicity in a Van der Pol–Duffing oscillator pp. 632-637

Vinícius Wiggers and Paulo C. Rech

2017, volume 102, articles C

Fractional calculus operators of special functions? The result is well predictable! pp. 2-15

Virginia Kiryakova

Time fractional quantum mechanics pp. 16-28

Nick Laskin

A review of applications of fractional calculus in Earth system dynamics pp. 29-46

Yong Zhang, HongGuang Sun, Harold H. Stowell, Mohsen Zayernouri and Samantha E. Hansen

A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability pp. 47-71

Saïd Abbas, Mouffak Benchohra, Jamal-Eddine Lazreg and Yong Zhou

New methodologies in fractional and fractal derivatives modeling pp. 72-77

Wen Chen and Yingjie Liang

Energy methods for fractional Navier–Stokes equations pp. 78-85

Yong Zhou, Li Peng, Bashir Ahmad and Ahmed Alsaedi

Some properties of non-linear fractional stochastic heat equations on bounded domains pp. 86-93

Mohammud Foondun, Ngartelbaye Guerngar and Erkan Nane

Fractional Herglotz variational principles with generalized Caputo derivatives pp. 94-98

Roberto Garra, Giorgio S. Taverna and Delfim F.M. Torres

Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations pp. 99-105

Dumitru Baleanu, Wu, Guo–Cheng and Zeng, Sheng–Da

Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel pp. 106-110

Thabet Abdeljawad and Dumitru Baleanu

Impulsive fractional differential equations with Riemann–Liouville derivative and iterative learning control pp. 111-118

Qian Chen, Amar Debbouche, Zijian Luo and JinRong Wang

On disappearance of chaos in fractional systems pp. 119-126

Amey S. Deshpande and Varsha Daftardar-Gejji

Mellin integral transform approach to analyze the multidimensional diffusion-wave equations pp. 127-134

Lyubomir Boyadjiev and Yuri Luchko

Stochastic representation of fractional Bessel-Riesz motion pp. 135-139

V.V. Anh, N.N. Leonenko and A. Sikorskii

Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces pp. 140-148

Amar Debbouche and Valery Antonov

Existence results for coupled nonlinear fractional differential equations equipped with nonlocal coupled flux and multi-point boundary conditions pp. 149-161

Ravi P. Agarwal, Bashir Ahmad, Garout, Doa’a and Ahmed Alsaedi

Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control pp. 162-167

R. Mabel Lizzy, Krishnan Balachandran and Juan J. Trujillo

Time fractional equations and probabilistic representation pp. 168-174

Zhen-Qing Chen

A time-fractional generalised advection equation from a stochastic process pp. 175-183

C.N. Angstmann, B.I. Henry, B.A. Jacobs and A.V. McGann

Generalised fractional evolution equations of Caputo type pp. 184-196

M.E. Hernández-Hernández, V.N. Kolokoltsov and L. Toniazzi

Fractional derivatives on cosmic scales pp. 197-209

V.V. Uchaikin and R.T. Sibatov

Beyond monofractional kinetics pp. 210-217

Trifce Sandev, Igor M. Sokolov, Ralf Metzler and Aleksei Chechkin

The Cauchy problem for fractional Navier–Stokes equations in Sobolev spaces pp. 218-228

Li Peng, Yong Zhou, Bashir Ahmad and Ahmed Alsaedi

Extended Luenberger-type observer for a class of semilinear time fractional diffusion systems pp. 229-235

Fudong Ge and YangQuan Chen

Conditions for continuity of fractional velocity and existence of fractional Taylor expansions pp. 236-244

Dimiter Prodanov

Pricing of basket options in subdiffusive fractional Black–Scholes model pp. 245-253

Gulnur Karipova and Marcin Magdziarz

Multiplicity of solutions to fractional Hamiltonian systems with impulsive effects pp. 254-263

Nemat Nyamoradi and Rosana Rodríguez-López

Well-posedness of the Cahn–Hilliard equation with fractional free energy and its Fourier Galerkin approximation pp. 264-273

Mark Ainsworth and Zhiping Mao

Backstepping based stabilization and synchronization of a class of fractional order chaotic systems pp. 274-284

Manoj Kumar Shukla and B.B. Sharma

Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws pp. 285-294

Abdon Atangana and J.F. Gómez-Aguilar

A fractional Gauss–Jacobi quadrature rule for approximating fractional integrals and derivatives pp. 295-304

S. Jahanshahi, E. Babolian, D.F.M. Torres and A.R. Vahidi

Extending the deterministic Riemann–Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations pp. 305-318

C. Burgos, J.-C. Cortés, L. Villafuerte and R.-J. Villanueva

The finite difference method for Caputo-type parabolic equation with fractional Laplacian: One-dimension case pp. 319-326

Ye Hu, Changpin Li and Hefeng Li

Fractional spectral vanishing viscosity method: Application to the quasi-geostrophic equation pp. 327-332

Fangying Song and George Em Karniadakis

A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus pp. 333-338

Roberto Garra, Francesco Mainardi and Giorgio Spada

Analytical approximate solutions for quadratic Riccati differential equation of fractional order using the Polynomial Least Squares Method pp. 339-345

Constantin Bota and Bogdan Căruntu

Fractional and fractal derivative models for transient anomalous diffusion: Model comparison pp. 346-353

HongGuang Sun, Zhipeng Li, Yong Zhang and Wen Chen

An integro quadratic spline approach for a class of variable-order fractional initial value problems pp. 354-360

B.P. Moghaddam, J.A.T. Machado and H. Behforooz

Asymptotically compatible schemes for space-time nonlocal diffusion equations pp. 361-371

An Chen, Qiang Du, Changpin Li and Zhi Zhou

An enhanced multi-wing fractional-order chaotic system with coexisting attractors and switching hybrid synchronisation with its nonautonomous counterpart pp. 372-386

Manashita Borah and Binoy K. Roy

A search for a spectral technique to solve nonlinear fractional differential equations pp. 387-395

Malgorzata Turalska and Bruce J. West

Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system pp. 396-406

Abdon Atangana

Computational comparison and pattern visualization of forest fires pp. 407-413

António M. Lopes and J.A. Tenreiro Machado

Upscaling chemical reactions in multicontinuum systems: When might time fractional equations work? pp. 414-425

Diogo Bolster, David A. Benson and Kamini Singha

Fractional dynamical behavior of electrical activity in a model of pancreatic β-cells pp. 426-432

Bertrand Bodo, Alain Mvogo and Saverio Morfu

Fractional calculus for respiratory mechanics: Power law impedance, viscoelasticity, and tissue heterogeneity pp. 433-440

Clara Ionescu and James F. Kelly

Data-driven modelling of drug tissue trapping using anomalous kinetics pp. 441-446

Dana Copot, Richard L. Magin, Robin De Keyser and Clara Ionescu

A novel adaptive order/parameter identification method for variable order systems application in viscoelastic soft tissue modeling pp. 447-455

S. Sepehr Tabatabaei, H.A. Talebi and M. Tavakoli

Identification and validation of stable ARFIMA processes with application to UMTS data pp. 456-466

Krzysztof Burnecki and Grzegorz Sikora

Time fractional cable equation and applications in neurophysiology pp. 467-472

Silvia Vitali, Gastone Castellani and Francesco Mainardi

A variable-order fractional differential equation model of shape memory polymers pp. 473-485

Zheng Li, Hong Wang, Rui Xiao and Su Yang