Multiple positive solutions for nonlinear high-order Riemann–Liouville fractional differential equations boundary value problems with p-Laplacian operator

Boundary Value Problems

Bibo Zhou¹  Emmanuel Addai¹  Lingling Zhang¹  Nan Zhang¹ 

[1] College of Mathematics, Taiyuan University of Technology;

关键词: p-Laplacian operator;    Leggett–Williams fixed point theorem;    Riemann–Liouville fractional differential equations;    Multiple positive solutions;   

DOI  :  10.1186/s13661-020-01336-1

来源: DOAJ

【 摘 要 】

Abstract In this paper, we study the existence of multiple positive solutions for boundary value problems of high-order Riemann–Liouville fractional differential equations involving the p-Laplacian operator. Not only new existence conclusions of two positive solutions are obtained by employing functional-type cone expansion-compression fixed point theorem, but also some sufficient conditions for existence of at least three positive solutions are established by applying the Leggett–Williams fixed point theorem. In addition, we demonstrate the effectiveness of the main result by using an example.

【 授权许可】

Unknown