EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL RELAXATION INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS

被引：2

作者：

Lachouri, Adel ^{[1
]}

Ardjouni, Abdelouaheb ^{[2
]}

Djoudi, Ahcene ^{[1
]}

机构：

[1] Univ Annaba, Fac Sci, Dept Math, POB 12, Annaba 23000, Algeria

[2] Univ Souk Ahras, Fac Sci & Technol, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2022年 / 37卷 / 01期

关键词：

Fractional relaxation integro-differential equations; Riemann-Liouville fractional derivative; Liouville-Caputo fractional derivative; existence; uniqueness; fixed point; POSITIVE SOLUTIONS;

D O I：

10.22190/FUMI210502016L

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study the existence and uniqueness of solutions for nonlinear fractional relaxation integro-differential equations with boundary conditions. Some results about the existence and uniqueness of solutions have been established by using the Banach contraction mapping principle and the Schauder fixed point theorem. An example is provided which illustrates the theoretical results.

引用

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页码：211 / 221

页数：11

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