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

页码：5251 / 5268

页数：18

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