一类非线性Hilfer分数阶微分耦合系统正解的存在性

Existence of positive solutions for a class of nonlinear coupled systems of hilfer fractional differential equations

研究了一类带有多点混合边界条件上的非线性耦合Hilfer分数阶微分系统,使用换元法和Guo-Krasnosel’skii不动点定理证明了正解的存在性.并举例说明所得结论是正确的。

This investigation mainly focused on a nonlinear coupled Hilfer fractional differential system based on multipoint mixed boundary conditions,the existence of the positive solution was proved by the exchange method and Guo-Krasnosel’skii fixed point theorem.Further,the correctness of the given theoretical conclusion was tested and verified by a given example.