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

被引：4

作者：

Arab, Meraa ^{[1
]}

Awadalla, Muath ^{[1
]}

Manigandan, Murugesan ^{[2
]}

Abuasbeh, Kinda ^{[1
]}

Mahmudov, Nazim I. ^{[3
]}

Nandha Gopal, Thangaraj ^{[2
]}

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

[3] Eastern Mediterranean Univ, Dept Math, TR-99628 North Cyprus, Turkiye

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 03期

关键词：

existence; fixed point theorems; stability; fractional differential equations;

D O I：

10.3390/fractalfract7030229

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 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.

引用

页数：16

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