Discrete Fractional Diffusion Equation of Chaotic Order

DOI10.1142/S0218127416500139zbMath1334.35405MaRDI QIDQ2800698

Guo-Cheng Wu, Dumitru Baleanu, He-Ping Xie, Sheng-Da Zeng

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

chaotic orderfractional diffusion equationsdiscrete fractional calculus

Mathematics Subject Classification ID

Second-order parabolic equations (35K10) Fractional partial differential equations (35R11)

Related Items (8)

Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems ⋮ CHAOTIC DYNAMICS OF A NOVEL 2D DISCRETE FRACTIONAL ORDER USHIKI MAP ⋮ Applications of variable-order fractional operators: a review ⋮ Discrete chaos in a novel two-dimensional fractional chaotic map ⋮ A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations ⋮ The non-uniqueness of solution for initial value problem of impulsive differential equations involving higher order Katugampola fractional derivative ⋮ Identification of chaos in fractional chaotic map ⋮ Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data

Cites Work

• Unnamed Item
• A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
• Numerical techniques for the variable-order time fractional diffusion equation
• Discrete-time fractional variational problems
• Existence results for nonlinear fractional difference equation
• The Laplace transform in discrete fractional calculus
• On Riemann and Caputo fractional differences
• Continuity of solutions to discrete fractional initial value problems
• Discrete fractional diffusion equation
• On mean square displacement behaviors of anomalous diffusions with variable and random orders
• Time fractional advection-dispersion equation
• Time fractional diffusion: A discrete random walk approach
• Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation
• Finite difference/spectral approximations for the time-fractional diffusion equation
• A characteristic difference method for the variable-order fractional advection-diffusion equation
• Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative
• Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
• Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
• Overview of Fractional h-difference Operators
• Asymptotic Integration and Stability
• Tomorrow’s Dynamics
• Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media

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