Existence of the solution for hybrid differential equation with Caputo-Fabrizio fractional derivative

被引：2

作者：

Chefnaj, Najat ^{[1
]}

Hilal, Khalid ^{[1
]}

Kajouni, Ahmed ^{[1
]}

机构：

[1] Univ Sultan Moulay Slimane, Lab Math Appl & Calcul Sci, BP 523, Beni Mellal 23000, Morocco

来源：

FILOMAT | 2023年 / 37卷 / 07期

关键词：

Fractional derivative; Hybrid differential equation; Fractional derivatives of Caputo-Fabrizio; Dhage's fixed point theorem;

D O I：

10.2298/FIL2307219C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, we are interested in the existence result of the solution of hybrid nonlinear differential equations. involving fractional Caputo Fabrizio derivatives of arbitrary order alpha epsilon]0, 1[. By applying Dhage's fixed point theorem and some fractional analysis techniques, we prove our main result. As an application, A non-trivial example is given to demonstrate the effectiveness of our theoretical result.

引用

页码：2219 / 2226

页数：8

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