A Novel Implementation of Dhage's Fixed Point Theorem to Nonlinear Sequential Hybrid Fractional Differential Equation

被引：4

作者：

Awadalla, Muath ^{[1
]}

Hannabou, Mohamed ^{[2
]}

Abuasbeh, Kinda ^{[1
]}

Hilal, Khalid ^{[2
]}

机构：

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

[2] Sultan Moulay Slimane Univ, Fac Sci & Tech, Dept Math, BP 523, Beni Mellal 23000, Morocco

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 02期

关键词：

existence; fixed point theorems; stability; fractional differential equations; COUPLED SYSTEM; EXISTENCE;

D O I：

10.3390/fractalfract7020144

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, the existence and uniqueness of solutions to a sequential fractional (Hybrid) differential equation with hybrid boundary conditions were investigated by the generalization of Dhage's fixed point theorem and Banach contraction mapping, respectively. In addition, the U-H technique is employed to verify the stability of this solution. This study ends with two examples illustrating the theoretical findings.

引用

页数：15

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