Characteristics of Solutions of Fractional Hybrid Integro-Differential Equations in Banach Algebra

被引：4

作者：

El-Sayed, Ahmed ^{[1
]}

Hashem, Hind ^{[2
]}

Al-Issa, Shorouk ^{[3
]}

机构：

[1] Alexandria Univ, Dept Math, Alexandria, Egypt

[2] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51452, Saudi Arabia

[3] Lebanese Int Univ, Dept Math, Saida, Lebanon

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2021年 / 18卷 / 03期

关键词：

Hybrid differential equations; Quadratic differential equation; Dhage hybrid fixed point theorem; Banach algebra;

D O I：

10.22130/scma.2021.120867.876

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the existence results for a class of hybrid initial value problems of Riemann-Liouville fractional differential equations. Our investigation is based on the Dhage hybrid fixed point theorem, remarks and some special cases will be discussed. The continuous dependence of the unique solution on one of its functions will be proved.

引用

页码：109 / 131

页数：23

共 21 条

[1]

Abbas S, 2011, ELECTRON J DIFFER EQ

[2] A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS [J].