| Title:
|
Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives (English) |
| Author:
|
Wang, Chun |
| Author:
|
Xu, Tian-Zhou |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
60 |
| Issue:
|
4 |
| Year:
|
2015 |
| Pages:
|
383-393 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to study the stability of fractional differential equations in Hyers-Ulam sense. Namely, if we replace a given fractional differential equation by a fractional differential inequality, we ask when the solutions of the fractional differential inequality are close to the solutions of the strict differential equation. In this paper, we investigate the Hyers-Ulam stability of two types of fractional linear differential equations with Caputo fractional derivatives. We prove that the two types of fractional linear differential equations are Hyers-Ulam stable by applying the Laplace transform method. Finally, an example is given to illustrate the theoretical results. (English) |
| Keyword:
|
Hyers-Ulam stability |
| Keyword:
|
Laplace transform method |
| Keyword:
|
fractional differential equation |
| Keyword:
|
Caputo fractional derivative |
| MSC:
|
26D10 |
| MSC:
|
34A08 |
| idZBL:
|
Zbl 06486917 |
| idMR:
|
MR3396471 |
| DOI:
|
10.1007/s10492-015-0102-x |
| . |
| Date available:
|
2015-06-30T12:01:51Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144314 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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