Existence of solutions for a nonlinear fractional p-Laplacian boundary value problem

被引：8

作者：

Merzoug, I. ^{[1
,2
]}

Guezane-Lakoud, A. ^{[1
]}

Khaldi, R. ^{[1
]}

机构：

[1] Badji Mokhtar Annaba Univ, Fac Sci, Adv Mat Lab, POB 12, Annaba 23000, Algeria

[2] Badji Mokhtar Annaba Univ, Lab Numer Anal Optimisat & Stat, Annaba, Algeria

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2020年 / 69卷 / 03期

关键词：

Fractional p-Laplacian; Boundary value problem; Method of upper and lower solutions; Existence of solutions; DIFFERENTIAL-EQUATIONS;

D O I：

10.1007/s12215-019-00459-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main objective of this paper is to prove the existence of solutions for a fractional p-Laplacian boundary value problem containing both left Riemann-Liouville and right Caputo fractional derivatives. The proofs are based on the upper and lower solutions method and Schauder's fixed point theorem. The paper is ended by a numerical example.

引用

页码：1099 / 1106

页数：8

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