Space-time fractional diffusion equation using a derivative with nonsingular and regular kernel
type: Item
instance of: scholarly article
title: Space-time fractional diffusion equation using a derivative with nonsingular and regular kernel
zbMATH Open document ID: 1400.82228
published in: Physica A
publication date: 2018-11-13T00:00:00Z
Mathematics Subject Classification ID: 82C41
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 60J70
zbMATH DE Number: 6978623
zbMATH Keywords: integral transform operator
zbMATH Keywords: fractional diffusion equation
zbMATH Keywords: atangana-baleanu fractional derivative
zbMATH Keywords: anomalous diffusion
zbMATH Keywords: subdiffusion
author: J. F. Gómez-Aguilar
MaRDI profile type: Publication
full work available at URL: j.physa.2016.08.072
OpenAlex ID: W2514285052
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Diffusion and reactions in fractals and disordered systems
cites work: Approximation of Lévy-Feller diffusion by random walk
cites work: Time fractional diffusion: A discrete random walk approach
cites work: Transport equations for subdiffusion with nonlinear particle interaction
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: A second-order accurate numerical approximation for the fractional diffusion equation
cites work: Fundamental kernel-based method for backward space-time fractional diffusion problem
cites work: FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION
cites work: Maximum principle for the generalized time-fractional diffusion equation
cites work: Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
cites work: Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
cites work: A new nonlinear finite volume scheme preserving positivity for diffusion equations
cites work: Connecting complexity with spectral entropy using the Laplace transformed solution to the fractional diffusion equation
cites work: Classical solutions for a logarithmic fractional diffusion equation
cites work: Analysis of the Keller-Segel model with a fractional derivative without singular kernel
cites work: Modeling diffusive transport with a fractional derivative without singular kernel
cites work: On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
cites work: Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel
cites work: Triple pendulum model involving fractional derivatives with different kernels
cites work: Modeling and simulation of the fractional space-time diffusion equation
cites work: A fractional diffusion equation to describe Lévy flights
cites work: From the solutions of diffusion equation to the solutions of subdiffusive one
cites work: Fluid Dynamics of Dissolved Polymer Molecules in Confined Geometries
DOI: 10.1016/J.PHYSA.2016.08.072
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description: scientific article; zbMATH DE number 6978623