Mönch's fixed point theorem in investigating the existence of a solution to a system of sequential fractional differential equations-Reference-Cited by-同舟云学术

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

Published:2023 Issue:2 Volume:8 Page:2591-2610
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Al Elaiw Abeer¹,Manigandan Murugesan²,Awadalla Muath¹,Abuasbeh Kinda¹

Affiliation:

1. Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf, Al Ahsa 31982, Saudi Arabia

2. Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Tamil Nadu, Coimbatore 641020, India

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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5. A. Refice, M. S. Souid, I. Stamova, On the boundary value problems of Hadamard fractional differential equations of variable order via Kuratowski MNC technique, Mathematics, 9 (2021), 1134. https://doi.org/10.3390/MATH9101134

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