Multiple monotone positive solutions of integral BVPs for a higher-order fractional differential equation with monotone homomorphism

Advances in Difference Equations

Kaihong Zhao¹  Juqing Liu² 

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

关键词: integral boundary value problems;    fractional differential equation;    monotone positive solutions;    monotone homomorphism;    fixed point theorem;    34B15;    34B18;    34B27;   

DOI  :  10.1186/s13662-016-0743-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the integral boundary value problems of higher-order fractional differential equation with. In the sense of a monotone homomorphism, some sufficient criteria are established to guarantee the existence of at least two monotone positive solutions by employing the fixed point theorem of cone expansion and compression of functional type proposed by Avery, Henderson and O’Regan. As applications, some examples are provided to illustrate the validity of our main results.

【 授权许可】

CC BY