Triple positive solutions for two classes of delayed nonlinear fractional FDEs with nonlinear integral boundary value conditions

Boundary value problems

Kaihong Zhao¹ 

[1] Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, China

关键词: delayed nonlinear fractional FDEs;    multiple positive solutions;    nonlinear Riemann-Stieltjes integral boundary conditions;    fixed point theorem;   

DOI  :  10.1186/s13661-015-0445-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with two classes of delayed nonlinear fractional functional differential equations (FDEs) with nonlinear Riemann-Stieltjes integral boundary value conditions. By employing the well-known Leggett-Williams fixed point theorem and a generalization of Leggett-Williams fixed point theorem, some new sufficient criteria are established to guarantee the existence of at least triple positive solutions. As applications, some interesting examples are presented to illustrate our main results.

【 授权许可】

CC BY