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

被引：1

作者：

Awadalla, Muath ^{[1
]}

Abuasbeh, Kinda ^{[1
]}

Manigandan, Murugesan ^{[2
]}

Al Ghafli, Ahmed A. ^{[1
]}

Al Salman, Hassan J. ^{[1
]}

机构：

[1] King Faisal Univ, Coll Sci, Dept Math & Stat, Al Hasa 31982, Saudi Arabia

[2] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Coimbatore 641020, Tamil Nadu, India

来源：

JOURNAL OF MATHEMATICS | 2023年 / 2023卷

关键词：

STABILITY; CALCULUS;

D O I：

10.1155/2023/7111771

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

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页数：19

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