Periodic Solution of Caputo-Fabrizio Fractional Integro-differential Equation with Periodic and Integral Boundary Conditions

被引：2
|
作者：
Rafeeq, Ava Sh [1 ]
机构：
[1] Univ Zakho, Fac Sci, Dept Math, Duhok, Iraq
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 15卷 / 01期
关键词：
Caputo- Fabrizio fractional derivative; integro-differential equation; periodic and integral boundary conditions; Periodic solutions; successive approximation method; Banach fixed point theorem; ATANGANA-BALEANU; EXISTENCE; FLOW;
D O I：
10.29020/nybg.ejpam.v15i1.4247
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a new approach of investigation of existence, uniqueness and stability of the periodic solution of the nonlinear fractional integro-differential equation of type Caputo-Fabrizio fractional derivative with the initial condition, periodic boundary conditions, and integral boundary conditions by using successive approximations method and Banach fixed point theorem. Finally, some examples are present to illustrate the theorems.
引用
收藏
页码：144 / 157
页数：14
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