On System of Mixed Fractional Hybrid Differential Equations-Reference-Cited by-同舟云学术

On System of Mixed Fractional Hybrid Differential Equations

Published:2022-06-01 Issue: Volume:2022 Page:1-11
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Awadalla Muath¹^ORCID,Mahmudov Nazim I.²^ORCID

Affiliation:

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

2. Department of Mathematics, Eastern Mediterranean University, Famagusta 99628, T. R. Northern Cyprus, Mersin 10, Turkey

Abstract

In this article, we find the necessary conditions for the existence and uniqueness of solutions to a system of hybrid equations that contain mixed fractional derivatives (Caputo and Riemann-Liouville). We also verify the stability of these solutions using the Ulam-Hyers (U-H) technique. Finally, this study ends with applied examples that show how to proceed and verify the conditions of our theoretical results.

Funder

King Faisal University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/1258823.pdf

Reference31 articles.

1. Advances in Fractional Calculus

2. Psi-Caputo Logistic Population Growth Model

3. Population Growth Modeling via Rayleigh-Caputo Fractional Derivative

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Existence Results for a Mixed Hybrid Fractional Differential Equations of Sequential Type;Fractal and Fractional;2023-03-04

2. A Novel Implementation of Dhage’s Fixed Point Theorem to Nonlinear Sequential Hybrid Fractional Differential Equation;Fractal and Fractional;2023-02-02

3. Mönch's fixed point theorem in investigating the existence of a solution to a system of sequential fractional differential equations;AIMS Mathematics;2023