一类分数阶微分方程边值问题解的存在唯一性

Existence and Uniqueness of Solutions for a Class of Fractional Differential Equations with Boundary Value Problems

运用Banach压缩映射原理和Krasnoselskii’s不动点定理,得到了具有Caputo和Hilfer-Hadamard型分数阶导数的非线性分数阶微分方程非局部边值问题解的存在唯一性.

With Banach contraction mapping principle and Krasnoselskii’s fixed point theorem, we obtain the existence and uniqueness of solutions for nonlocal boundary value problems of nonlinear fractional differential equations with Caputo and Hilfer-Hadamard fractional derivative.