Positive solutions for integral nonlinear boundary value problem in fractional Sobolev spaces

被引：18

作者：

Azzaoui, Bouchra ^{[1
]}

Tellab, Brahim ^{[1
]}

Zennir, Khaled ^{[2
,3
]}

机构：

[1] Kasdi Merbah Univ, Lab Appl Math, Ouargla, Algeria

[2] Qassim Univ, Coll Sci & Arts, Dept Math, Al Ras, Saudi Arabia

[3] Univ 8 Mai 1945 Guelma, Lab Math Appl & Modelisat, Guelma, Algeria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 03期

关键词：

boundary value problem; fractional Sobolev spaces; lower solution; positive solutions; upper solution; EXISTENCE;

D O I：

10.1002/mma.7623

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we consider an important problem from the point of view of application in sciences and engineering, namely, Riemann-Liouville nonlinear fractional boundary value problem. Under new minimal conditions on the parameters 0 <= s, tau <= 1, it is shown that, based on the upper and lower solutions method using Schauder fixed point theorem, the positive solutions in a Sobolev spaces exist. Moreover, our results are illustrated by a numerical example.

引用

页码：3115 / 3131

页数：17

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