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

Advances in Difference Equations

Juan J. Nieto¹  Abdelghani Ouahab²  Amina Mahdjouba² 

[1] Departamento de Estatística, Análise Matemática, e Optimización, Instituto de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain;Laboratory of Mathematics, Sidi-Bel-Abbès University, PoBox 89, 22000, Sidi-Bel-Abbès, Algeria;

关键词: Fractional differential equations;    p;    Cone;    Fixed point theorem;    Positive solutions;    Multiplicity of solutions;    34A08;    34B15;    34B18;   

DOI  :  10.1186/s13662-021-03508-4

来源: Springer

【 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.

【 授权许可】

CC BY