Mönch's fixed point theorem in investigating the existence of a solution to a system of sequential fractional differential equations

In this article, the existence of a solution to a system of fractional equations of sequential type was investigated via Mönch's fixed point theorem. In addition, the stability of this solutions was verified by the Ulam-Hyers method. Finally, an applied example is presented to illustrate the th...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 2; pp. 2591 - 2610
Main Authors Al Elaiw, Abeer, Manigandan, Murugesan, Awadalla, Muath, Abuasbeh, Kinda
Format Journal Article
LanguageEnglish
Published AIMS Press 2023
Subjects
caputo derivatives
existence
mönch's fixed point
sequential fractional derivative
stability
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Summary:In this article, the existence of a solution to a system of fractional equations of sequential type was investigated via Mönch's fixed point theorem. In addition, the stability of this solutions was verified by the Ulam-Hyers method. Finally, an applied example is presented to illustrate the theoretical results obtained from the existence results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2023134