Theoretical analysis of a class of $ \varphi $-Caputo fractional differential equations in Banach space-Reference-Cited by-同舟云学术

Theoretical analysis of a class of $ \varphi $-Caputo fractional differential equations in Banach space

Published:2024 Issue:3 Volume:9 Page:6411-6423
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Abu Hammad Ma'mon¹,Zentar Oualid²³,Alshorm Shameseddin¹,Ziane Mohamed²³,Zitouni Ismail²

Affiliation:

1. Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan

2. Department of Mathematics, University of Tiaret, Tiaret, Algeria

3. Laboratoire de Recherche en Intelligence Artificielle et Systèmes (LRIAS), University of Tiaret, Algeria

Abstract

<abstract><p>A study of a class of nonlinear differential equations involving the $ \varphi $-Caputo type derivative in a Banach space framework is presented. Weissinger's and Meir-Keeler's fixed-point theorems are used to achieve some quantitative results. Two illustrative examples are provided to justify the theoretical results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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