System of fractional boundary value problem with p-Laplacian and advanced arguments

被引：4

作者：

Mahdjouba, Amina ^{[1
]}

Nieto, Juan J. ^{[2
]}

Ouahab, Abdelghani ^{[1
]}

机构：

[1] Sidi Bel Abbes Univ, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Fractional differential equations; p-Laplacian operator; Cone; Fixed point theorem; Positive solutions; Multiplicity of solutions; 34A08; 34B15; 34B18; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1186/s13662-021-03508-4

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 multiplicity of positive solutions for a system of fractional differential equations with boundary condition and advanced arguments. The existence result is proved via Leray-Schauder's fixed point theorem type in a vector Banach space. Further, by using a new fixed point theorem in order Banach space, we study the multiplicity of positive solutions. Finally, some examples are given to illustrate our results.

引用

页数：22

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