Existence uniqueness and stability of solutions for -Caputo fractional differential iterative equation with boundary value conditions

被引：0

作者：

El Fadouaki, Mohamed ^{[1
]}

Hilal, Khalid ^{[1
]}

Kajouni, Ahmed ^{[1
]}

Lmou, Hamid ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Comp, Beni Mellal, Morocco

来源：

FILOMAT | 2025年 / 39卷 / 02期

关键词：

Psi-fractional integral; Caputo fractional derivative; existence; uniqueness; iterative differential equation; Ulam-Hyers stability; RESPECT;

D O I：

10.2298/FIL2502629E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The subject of this paper revolves around fractional differential equations incorporating a -Caputo fractional derivative, focusing on the Ulam-Hyers stability, the existence and uniqueness of solutions for nonlinear fractional quadratic iterative differential equation by utilizing Schauder's fixed point theorem, reinforced by the Ascoli-Arzela<acute accent> theorem. Additionally, we present two illustrative examples to buttress our analytical findings.

引用

页码：629 / 638

页数：10

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