Existence and uniqueness of solutions for Ψ-Caputo fractional neutral sequential differential equations on time scales

被引：0
|
作者：
Chefnaj, Najat [1 ]
Hilal, Khalid [1 ]
Kajouni, Ahmed [1 ]
机构：
[1] Sultan Moulay Slimane Univ, Appl Math & Sci Comp Lab, POB 523, Beni Mellal 23000, Morocco
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2024年
关键词：
Psi-fractional derivative; Psi-fractional; Time scale; Sequential neutral fractional differential equations;
D O I：
10.1007/s12190-024-02179-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the existence and uniqueness of solutions for a class of initial value problems involving implicit fractional differential equations with a fractional Psi-Caputo derivative on time scales. We employ fixed point theorems by Banach, a nonlinear alternative of Leray-Schauder's type, and Krasnoselskii's theorem to establish these results. Finally, we present two examples to demonstrate the effectiveness of the obtained analytical results.
引用
收藏
页码：5251 / 5268
页数：18
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