Existence results by Mönch's fixed point theorem for a tripled system of sequential fractional differential equations-Reference-Cited by-同舟云学术

Existence results by Mönch's fixed point theorem for a tripled system of sequential fractional differential equations

Published:2023 Issue:2 Volume:8 Page:3969-3996
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, Coimbatore-641020, Tamil Nadu, India

Abstract

<abstract><p>In this paper, we study the existence of the solutions for a tripled system of Caputo sequential fractional differential equations. The main results are established with the aid of Mönch's fixed point theorem. The stability of the tripled system is also investigated via the Ulam-Hyer technique. In addition, an applied example with graphs of the behaviour of the system solutions with different fractional orders are provided to support the theoretical results obtained in this study.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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