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Open Access ·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

Existence and uniqueness of linear and non-linear fractional differential equations

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pp. 1915–1921Vol. 27Issue 8December 2024DOI: 10.47974/JIM-2058XML
Received:
09 Jul 2024
Published Online:
16 Dec 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-2058
Pages:
1915–1921

Abstract

The existence and uniqueness of solutions for linear and nonlinear fractional differential equations (FDE) involving Miller-Ross sequential fractional derivatives (SFD) can be established through mathematical analysis and specific conditions, which allows direct applications with Riemann-Liouville fractional derivatives, the Caputo fractional derivatives and the Grunwald Letnikov derivatives, which is a particular case of the Miller-Ross SFD.

Keywords

Subject Classifications

34A0826A3334G1034G20

References

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