Group analysis of the time fractional generalized diffusion equation

This paper is concerned with the time fractional derivatives (Riemann–Liouville) of non-linear anomalous diffusion equation. Using Lie symmetry method, we show this equation can be reduced to Erdelyi–Kober fractional derivatives type. Then all of the symmetry vector fields and some exact solutions o...

Full description

Saved in:
Bibliographic Details
Published in:Physica A 2017-08, Vol.479, p.572-579
Main Authors: Lashkarian, Elham, Reza Hejazi, S.
Format: Article
Language:English
Subjects:
Erdelyi–Kober operators
Fractional derivatives
Lie symmetry
Optimal system
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper is concerned with the time fractional derivatives (Riemann–Liouville) of non-linear anomalous diffusion equation. Using Lie symmetry method, we show this equation can be reduced to Erdelyi–Kober fractional derivatives type. Then all of the symmetry vector fields and some exact solutions of our time fractional non-linear equation are obtained. •Group analysis of the fractional generalized diffusion equation is given.•Optimal system of diffusion equation is some special cases are given.•Some reduced forms of the considered equation are obtained.•Exact solutions of the time fractional nonlinear equation are studied.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2017.02.062