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.
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页数：9
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