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

Advances in Difference Equations

article

Mahdjouba, Amina¹  Nieto, Juan J.²  Ouahab, Abdelghani¹ 

[1] Laboratory of Mathematics, Sidi-Bel-Abbès University;Departamento de Estatística, Instituto de Matemáticas, Universidade de Santiago de Compostela

关键词: Fractional differential equations;    p -Laplacian operator;    Cone;    Fixed point theorem;    Positive solutions;    Multiplicity of solutions;   

DOI  :  10.1186/s13662-021-03508-4

学科分类：航空航天科学

来源: SpringerOpen

【 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