EXISTENCE OF SOLUTION FOR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS VIA TOPOLOGICAL DEGREE METHOD

被引：8

作者：

Faree, Taghareed A. ^{[1
,2
]}

Panchal, Satish K. ^{[1
]}

机构：

[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad, Maharashtra, India

[2] Taiz Univ, Fac Appl Sci, Dept Math, Taizi, Yemen

来源：

JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS | 2021年 / 25卷 / 01期

关键词：

Impulsive differential equations; Topological properties of mappings; Fixed point and coincidence theorems;

D O I：

10.12941/jksiam.2021.25.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is studied the existence of a solution for the impulsive Cauchy problem involving the Caputo fractional derivative in Banach space by using topological structures. We based on using topological degree method and fixed point theorem with some suitable conditions. Further, some topological properties for the set of solutions are considered. Finally, an example is presented to demonstrate our results.

引用

页码：16 / 25

页数：10

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