Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations

被引：18
|
作者：
Eiman [1 ]
Shah, K. [1 ]
Sarwar, M. [1 ]
Baleanu, D. [2 ,3 ,4 ]
机构：
[1] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] Inst Space Sci, Bucharest, Romania
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Krasnoselskii's fixed point theorem; Caputo-Fabrizio fractional differential equations; Hyers-Ulam stability;
D O I：
10.1186/s13662-020-02624-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note is concerned with establishing existence theory of solutions to a class of implicit fractional differential equations (FODEs) involving nonsingular derivative. By using usual classical fixed point theorems of Banach and Krasnoselskii, we develop sufficient conditions for the existence of at least one solution and its uniqueness. Further, some results about Ulam-Hyers stability and its generalization are also discussed. Two suitable examples are given to demonstrate the results.
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页数：9
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