A Novel Implementation of Dhage’s Fixed Point Theorem to Nonlinear Sequential Hybrid Fractional Differential Equation-Reference-Cited by-同舟云学术

A Novel Implementation of Dhage’s Fixed Point Theorem to Nonlinear Sequential Hybrid Fractional Differential Equation

Published:2023-02-02 Issue:2 Volume:7 Page:144
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Awadalla Muath¹^ORCID,Hannabou Mohamed²,Abuasbeh Kinda¹^ORCID,Hilal Khalid²

Affiliation:

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

2. Departement of Mathematics, Faculty of Science and Technics, Sultan Moulay Slimane University, BP 523, Beni Mellal 23000, Morocco

Abstract

In this work, the existence and uniqueness of solutions to a sequential fractional (Hybrid) differential equation with hybrid boundary conditions were investigated by the generalization of Dhage’s fixed point theorem and Banach contraction mapping, respectively. In addition, the U-H technique is employed to verify the stability of this solution. This study ends with two examples illustrating the theoretical findings.

Funder

King Faisal University, Saudi Arabia

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/2/144/pdf

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