Applicability of Darbo’s Fixed Point Theorem on the Existence of a Solution to Fractional Differential Equations of Sequential Type

In this article, we study the existence of the solution for the fractional differential equations of sequential type with nonlocal integral boundary conditions. The main results are established with the aid of Darbo’s fixed point theorem and Hausdorff’s measure of noncompactness method. The stabilit...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2023-04, Vol.2023, p.1-19
Main Authors: Awadalla, Muath, Abuasbeh, Kinda, Manigandan, Murugesan, Al Ghafli, Ahmed A., Al Salman, Hassan J.
Format: Article
Language:English
Subjects:
Banach spaces
Boundary conditions
Boundary value problems
Differential equations
Existence theorems
Fixed points (mathematics)
Fractional calculus
Mathematical analysis
Mathematical functions
Mathematical models
Mathematics
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Summary:In this article, we study the existence of the solution for the fractional differential equations of sequential type with nonlocal integral 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 via the Ulam–Hyer technique. In addition, an applied example that supports the theoretical results reached through this study is included.
ISSN:2314-4629
2314-4785
DOI:10.1155/2023/7111771