Stability and boundedness of solutions of the initial value problem for a class of time-fractional diffusion equations

Stability and boundedness of solutions of the initial value problem for a class of time-fractional diffusion equations

Abstract The aim of this paper is to study the stability and boundedness of solutions of the initial value problem for a class of time-fractional diffusion equations. We first establish a fractional Duhamel principle for the nonhomogeneous time-fractional diffusion equation. Then based on it and the...

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Bibliographic Details
Main Authors: Yanhua Wen, Xian-Feng Zhou, Jun Wang
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Advances in Difference Equations
Subjects:
stability
boundedness
fractional Duhamel principle
initial value problem
time-fractional diffusion equation
Caputo derivative
Online Access:http://link.springer.com/article/10.1186/s13662-017-1271-6

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http://link.springer.com/article/10.1186/s13662-017-1271-6

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