On the Existence Results for a Mixed Hybrid Fractional Differential Equations of Sequential Type-Reference-Cited by-同舟云学术

On the Existence Results for a Mixed Hybrid Fractional Differential Equations of Sequential Type

Published:2023-03-04 Issue:3 Volume:7 Page:229
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Arab Meraa¹,Awadalla Muath¹^ORCID,Manigandan Murugesan²^ORCID,Abuasbeh Kinda¹^ORCID,Mahmudov Nazim I.³^ORCID,Nandha Gopal Thangaraj²

Affiliation:

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

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

3. Department of Mathematics, Eastern Mediterranean University, North Cyprus, Famagusta 99628, Turkey

Abstract

In this article, we study the existence of a solution to the mixed hybrid fractional differential equations of sequential type with nonlocal integral hybrid boundary conditions. The main results are established with the aid of Darbo’s fixed point theorem and Hausdorff’s measure of noncompactness method. The stability of the proposed fractional differential equation is also investigated using the Ulam–Hyer technique. In addition, an applied example that supports the theoretical results reached through this study is included.

Funder

Deanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research, King Faisal University, Saudi Arabia

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/3/229/pdf

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