Caputo型分数阶微分方程边值问题解的存在唯一性

Existence and Uniqueness of Solutions of Boundary Value Problem for a Caputo-type Fractional Differential Equation

主要探讨一类Caputo型分数阶微分方程边值问题解的存在唯一性.通过将边值问题转化为等价的Fredholm积分方程,在巴拿赫空间上运用不动点定理,证明了积分方程解的存在性和唯一性.

The existence and uniquness of solutions of boundary value problem for a Caputo-type fractional differential equation were investigated.By transforming the boundary value problem into an equivalent Fredholm integral equation, and employing fixed point theorem in a Banach space, the existence and uniqueness of the solutions of the integral equation was proved.