Positive solutions of m -point multi-term fractional integral BVP involving time-delay for fractional differential equations

Boundary value problems

Kaihong Zhao¹  Ping Gong¹ 

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

关键词: fractional differential equations;    multiple positive solutions;    integral boundary value conditions;    time-delay;    34B10;    34B15;    34B18;    34B27;   

DOI  :  10.1186/s13661-014-0280-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the paper, we establish sufficient conditions for the existence and multiplicity of positive solutions to a class of higher-order delayed nonlinear fractional differential equations with m-point multi-term fractional integral boundary conditions. The results are established by converting the problem into an equivalent integral equation and applying fixed point theorems of the cone expansion and compression of norm type. Our study improves the previous results in the literature. As an application, an example is also provided to illustrate our main results.

【 授权许可】

CC BY