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.
| Original language | English |
|---|---|
| Article number | 207 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2016 |
| State | Published - 1 Aug 2016 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2016 Texas State University.
Keywords
- Caputo derivative
- Continuation theorem
- Fractional differential equation
- Global solution
- Local solution
ASJC Scopus subject areas
- Analysis