Analysis of a hidden memory variably distributed-order space-fractional diffusion equation
Authors:
- Jinhong JiaJJJinhong Jia
- Hong WangHWHong Wang
- 1 February 2022
- journal article
- research article
- Published by Elsevier in Applied Mathematics Letters
- Vol. 124
Abstract
No abstract availableKeywords
Funding Information
- National Science Foundation (DMS-2012291)
- Army Research Office (W911NF-15-1-0562)
- National Natural Science Foundation of China (11971272)
- National Natural Science Foundation of China (12001337)
- Natural Science Foundation of Shandong Province (ZR2019BA026)
This publication has 19 references indexed in Scilit:
- A distributed-order time fractional derivative model for simulating bimodal sub-diffusion in heterogeneous mediaJournal of Hydrology, 2020
- A fast finite difference method for distributed-order space-fractional partial differential equations on convex domainsComputers & Mathematics with Applications, 2018
- Adaptive finite element method for fractional differential equations using hierarchical matricesComputer Methods in Applied Mechanics and Engineering, 2017
- Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problemComputers & Mathematics with Applications, 2017
- Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion EquationsCommunications in Computational Physics, 2015
- Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability densityFractional Calculus and Applied Analysis, 2013
- A comparative study of constant-order and variable-order fractional models in characterizing memory property of systemsThe European Physical Journal Special Topics, 2011
- Numerical analysis for distributed-order differential equationsJournal of Computational and Applied Mathematics, 2009
- Variable Order and Distributed Order Fractional OperatorsNonlinear Dynamics, 2002
- The random walk's guide to anomalous diffusion: a fractional dynamics approachPhysics Reports, 2000