On a piecewise psi-Hilfer fractional differential equation

被引：0
|
作者：
Abdelhedi, Wael [1 ]
机构：
[1] Sfax Univ, Fac Sci Sfax, Dept Math, Sfax, Tunisia
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2025年
关键词：
psi-Hilfer fractional derivative; fixed-point theory; Ulam-Hyers stability; ULAM-HYERS STABILITY; EXISTENCE; ORDER;
D O I：
10.1080/17476933.2025.2485163
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new piecewise psi-Hilfer fractional integral and derivative. We discuss some of their properties. Then, we investigate the existence and uniqueness of solutions of a fractional differential equation involving piecewise psi-Hilfer fractional derivative. Our study is based on the deployment of fixed-point theorems of Banach and Krasnoselskii. Also, we study the Ulam-Hayers stability of such solutions. To show the effectiveness of the proposed results, three examples are provided.
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页数：18
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