NONLOCAL BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION ON THE HALF-LINE

被引：1

作者：

Aoun, Abdellatif Ghendir ^{[1
]}

机构：

[1] Univ El Oued, Fac Exact Sci, Dept Math, Operators Theory Lab LABTHOP, El Oued, Algeria

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2024年 / 39卷 / 01期

关键词：

Boundary value problem; infinite interval; fractional differential equation; nonlocal condition; fixed point theorem;

D O I：

10.22190/FUMI210510002G

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to investigate a class for nonlocal fractional boundary value problem on an infinite interval due to its importance in provide a powerful tool for mathematical modeling of complex phenomena in science. New existence results are acquired for the given problem by using the Krasnosel'skii's fixed point theorem. Moreover, sufficient conditions are obtained as well as a modified compactness criterion that guarantees the existence of at least one solution. In addition, an illustrative example is given in the final part of the paper.

引用

页码：1 / 20

页数：20

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