EXISTENCE OF SOLUTION FOR SOME SINGULAR KIRCHHOFF FRACTIONAL BOUNDARY VALUE PROBLEM

被引：0

作者：

Ghanmi, Abdeljabbar ^{[1
]}

机构：

[1] Univ Jeddah, Fac Sci, Dept Math, Jeddah, Saudi Arabia

来源：

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2022年 / 17卷 / 02期

关键词：

Fractional derivative; boundary value problems; variational methods; existence of solutions; POSITIVE SOLUTIONS; EQUATION;

D O I：

10.21915/BIMAS.2022203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we investigate the question of the existence of multiple solutions for some nonlinear singular p-fractional problem with Riemann-Liouville fractional derivative and of Kirchhoff type. Precisely, we employ the method of the Nehari manifold combined with the analysis of the fibering map in order to show the existence of at least two nontrivial weak solutions.

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页码：173 / 194

页数：22

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