Positive solutions to mixed fractional p-Laplacian boundary value problems

被引：1

作者：

Guezane-Lakoud, Assia ^{[1
]}

Rodriguez-Lopez, Rosana ^{[2
]}

机构：

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

[2] Univ Santiago de Compostela, Fac Matemat, Inst Matemat, Dept Estat Anal Matemat & Optimizat, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF APPLIED ANALYSIS | 2023年 / 29卷 / 01期

关键词：

Fractional p-Laplacian; boundary value problem; existence of solutions; Guo Krasnoselskii theorem; EQUATION;

D O I：

10.1515/jaa-2021-2085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence and uniqueness of a positive solution for a p-Laplacian differential equation containing left and right Caputo derivatives. By the help of the Guo-Krasnoselskii theorem, we prove the existence of at least one positive solution. The existence of a unique positive solution is established under the assumption that the corresponding operator is alpha-concave and increasing. Numerical examples are given to check the obtained results.

引用

页码：49 / 58

页数：10

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