Maximum principles for a time–space fractional diffusion equation

Junxiong Jia; Kexue Li

doi:10.1016/j.aml.2016.06.010

Maximum principles for a time–space fractional diffusion equation

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	23-28
Number of pages	6
Journal	Applied Mathematics Letters
Volume	62
DOIs	https://doi.org/10.1016/j.aml.2016.06.010
State	Published - 1 Dec 2016

Keywords

Fractional derivative
Maximum principle
Time–space fractional diffusion equation

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10.1016/j.aml.2016.06.010

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title = "Maximum principles for a time–space fractional diffusion equation",

abstract = "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.",

keywords = "Fractional derivative, Maximum principle, Time–space fractional diffusion equation",

author = "Junxiong Jia and Kexue Li",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd",

year = "2016",

month = dec,

day = "1",

doi = "10.1016/j.aml.2016.06.010",

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T1 - Maximum principles for a time–space fractional diffusion equation

AU - Jia, Junxiong

AU - Li, Kexue

PY - 2016/12/1

Y1 - 2016/12/1

N2 - 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.

AB - 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.

KW - Fractional derivative

KW - Maximum principle

KW - Time–space fractional diffusion equation

UR - https://www.scopus.com/pages/publications/84977103701

U2 - 10.1016/j.aml.2016.06.010

DO - 10.1016/j.aml.2016.06.010

M3 - 文章

AN - SCOPUS:84977103701

SN - 0893-9659

VL - 62

SP - 23

EP - 28

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Maximum principles for a time–space fractional diffusion equation

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