半直线上一类分数阶耦合系统边值问题解的存在性

Existence Result for a Coupled System of Fractional Order Boundary Value Problem on the Half-line

讨论了一类半直线上分数阶耦合系统边值问题解的存在性,其中非线性项含有分数阶导数,通过建立合适的相对紧的判定准则,结合Schauder不动点定理,得到了解的存在性.

This paper deals with a boundary value problem of fractional order differential equation with the nonlinear term dependent on a fractional derivative of lower order on the semi-infinite interval.An appropriate criteria is established,such that we can use Schauder fixed point theorem to obtain the existence result for solution.