On the initial value problems for the Caputo-Fabrizio impulsive fractional differential equations

被引：16
|
作者：
Abbas, Mohamed, I [1 ]
机构：
[1] Alexandria Univ, Fac Sci, Dept Math & Comp Sci, Alexandria 21511, Egypt
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 05期
关键词：
Caputo-Fabrizio fractional differential equations; impulsive differential equations; Schaefer's fixed point theorem; INTEGRODIFFERENTIAL EQUATIONS; ULAM STABILITY; EXISTENCE;
D O I：
10.1142/S179355712150073X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to initial value problems for impulsive fractional differential equations of Caputo-Fabrizio type fractional derivative. By means of Banach's fixed point theorem and Schaefer's fixed point theorem, the existence and uniqueness results are obtained. Finally, an example is given to illustrate one of the main results.
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页数：12
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