Multiple positive solutions for mixed fractional differential system with p-Laplacian operators

Boundary Value Problems

Ying Wang¹ 

[1] School of Mathematics and Statistics, Linyi University;

关键词: Multiple positive solutions;    Mixed fractional differential system;    p-Laplacian operators;    Coupled integral boundary conditions;   

DOI  :  10.1186/s13661-019-1257-2

来源: DOAJ

【 摘 要 】

Abstract This paper is focused on researching a class of mixed fractional differential system with p-Laplacian operators. Based on the properties of the corresponding Green’s function, different combinations of superlinearity or sublinearity for the nonlinearities and other appropriate conditions, the existence of multiple positive solutions are derived via the Guo–Krasnosel’skii fixed point theorem. An example is then given to illustrate the usability of the main results.

【 授权许可】

Unknown