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

共 50 条

[31] On the existence of solution to a boundary value problem of fractional differential equation on the infinite interval [J].

Shen, Chunfang ;

Zhou, Hui ;

Yang, Liu .

BOUNDARY VALUE PROBLEMS, 2015, :1-13

[32] On the existence of solution to a boundary value problem of fractional differential equation on the infinite interval [J].

Chunfang Shen ;

Hui Zhou ;

Liu Yang .

Boundary Value Problems, 2015

[33] POSITIVE SOLUTIONS TO A NONLINEAR FRACTIONAL DIRICHLET PROBLEM ON THE HALF-LINE [J].

Maagli, Habib ;

Dhifli, Abdelwaheb .

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,

[34] Impulsive boundary value problem for a fractional differential equation [J].

Yang, Shuai ;

Zhang, Shuqin .

BOUNDARY VALUE PROBLEMS, 2016,

[35] Impulsive boundary value problem for a fractional differential equation [J].

Shuai Yang ;

Shuqin Zhang .

Boundary Value Problems, 2016

[36] Rotational periodic boundary value problem for a fractional nonlinear differential equation [J].

Cheng, Yi ;

Gao, Shanshan ;

Agarwal, Ravi P. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (13) :11120-11134

[37] Boundary value problem for a coupled system of nonlinear fractional differential equation [J].

Lin, S.-Y. (linsy1111@yahoo.cn), 1600, Springer Verlag (212) :139-145

[38] Remarks on a boundary value problem in Banach spaces on the half-line [J].

Graziewicz, Wojciech .

FIXED POINT THEORY AND ITS APPLICATIONS, 2007, 77 :115-121

[39] UNBOUNDED SOLUTIONS FOR BOUNDARY VALUE PROBLEMS OF RIEMANN LIOUVILLE FRACTIONAL DIFFERENTIAL EQUATIONS ON THE HALF-LINE [J].

Cerdik, Tugba Senlik ;

Deren, Fulya Yoruk ;

Hamal, Nuket Aykut .

FIXED POINT THEORY, 2018, 19 (01) :93-106

[40] PROPERTIES AND UNIQUE POSITIVE SOLUTION FOR FRACTIONAL BOUNDARY VALUE PROBLEM WITH TWO PARAMETERS ON THE HALF-LINE [J].

Wang, Wenxia ;

Liu, Xilan .

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (05) :2491-2507

← 1 2 3 4 5 →