Existence and uniqueness results of nonlinear hybrid Caputo-Fabrizio fractional differential equations with periodic boundary conditions

被引：0

作者：

Monsif, L. ^{[1
]}

El Ghordaf, J. ^{[1
]}

Oukessou, M. ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Comp, Beni Mellal 23000, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2025年 / 43卷

关键词：

Caputo-Fabrizio fractional integral; Caputo-Fabrizio fractional derivative; Banach fixed point theorem; Gronwall theorem; RESPECT;

D O I：

10.5269/bspm.67675

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, we establish the existence and uniqueness of solutions for nonlinear hybrid fractional differential equations involving Caputo-Fabrizio fractional derivatives of order & rhov; is an element of (0, 1). The proofs are based on Banach's fixed point theorem and some basic concepts of Caputo-Fabrizio fractional analysis. As an application, a nontrivial example is given in the last part of this paper to illustrate our theoretical results.

引用

页数：9

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