Department of Mathematics
Shanghai University
Shanghai 200444, China
email: lcp@shu.edu.cn
Department of Mathematics
Shanghai University
Shanghai 200444, China
email: shahzadppn@gmail.com
Changpin Li, Shahzad Sarwar
Abstract:
In this article, we consider a fractional differential equation
(FDE) with Caputo derivative and study the existence and continuation of
its solution. Firstly, we prove a theorem on the existence of local solutions.
Then we extend the continuation theorems for ODEs to those FDEs. Also
several global existence results for FDE are obtained.
Submitted April 11, 2016. Published August 01, 2016.
Math Subject Classifications: 34A08, 35A01.
Key Words: Fractional differential equation; Caputo derivative;
local solution; continuation theorem; global solution.
Show me the PDF file (243 KB), TEX file for this article.
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Changpin Li Department of Mathematics Shanghai University Shanghai 200444, China email: lcp@shu.edu.cn |
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Shahzad Sarwar Department of Mathematics Shanghai University Shanghai 200444, China email: shahzadppn@gmail.com |
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