Maximum principles for a time–space fractional diffusion equation

In this paper, we focus on maximum principles of a time–space fractional diffusion equation. Maximum principles for classical solution and weak solution are all obtained by using properties of the time fractional derivative operator and the fractional Laplace operator. We deduce maximum principles f...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics letters Vol. 62; pp. 23 - 28
Main Authors Jia, Junxiong, Li, Kexue
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2016
Subjects
Fractional derivative
Maximum principle
Time–space fractional diffusion equation
Maximum principle
Time–space fractional diffusion equation
Fractional derivative
Online AccessGet full text

Cover

More Information
Summary:In this paper, we focus on maximum principles of a time–space fractional diffusion equation. Maximum principles for classical solution and weak solution are all obtained by using properties of the time fractional derivative operator and the fractional Laplace operator. We deduce maximum principles for a full fractional diffusion equation, other than time-fractional and spatial-integer order diffusion equations.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2016.06.010