An Existence Result for Fractional Integro-Differential Equations in Banach Spaces

被引：0
|
作者：
Wahash, H. A. [1 ]
Abdo, Mohammed S. [2 ]
Panchal, Satish K. [2 ]
机构：
[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431004, MS, India
[2] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Math, Aurangabad 431004, MS, India
来源：
JOURNAL OF MATHEMATICAL EXTENSION | 2019年 / 13卷 / 03期
关键词：
Integro-differential equations; fractional derivative and integral; Krasnoselskii fixed point theorem; UNIQUENESS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a class of nonlinear fractional integro-differential equations with fractional derivative of Caputo sense. We shall rely on the Krasnoselskii fixed point theorem to obtain the existence result in Banach spaces. Moreover, one of Krasnoselskii-Krein conditions is applied to establish the result. Finally, an illustrative example is also presented.
引用
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页码：19 / 33
页数：15
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