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Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Solvability and stability for fractional differential equations involving two Riemann-Liouville fractional orders

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pp. 1699–1715Vol. 26Issue 8December 2023DOI: 10.47974/JIM-1096XML
Received:
08 Oct 2019
Accepted:
13 Apr 2020
Published Online:
29 Dec 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1096
Pages:
1699–1715

Abstract

In this work we study existence, uniqueness and Ulam-type stability for nonlinear fractional differential equations involving two Riemann-Liouville fractional derivatives. The existence and uniqueness of solutions is established by Banach’s fixed point theorem, whereas the existence of solutions is derived from Schaefer’s fixed point theorem. Furthermore, we present and discuss different types of Ulam stability. At the end, some illustrative examples are presented.

Keywords

Subject Classifications

(2000) 26A3334A1234B10

References

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