一类多项分数阶微分方程解的全局吸引性

Global Attractivity of Solutions for a Class of Multi-term Fractional Differential Equations

讨论了含有Caputo-Katugampola分数阶导数的分数阶微分方程解的全局吸引性.首先将微分方程转化为积分方程,再利用Schauder不动点定理得到解的存在性,最后利用所构造集合的性质得到相关结论.

In this paper , we present results for the global attractivity of solutions of fractional differential equations involving Caputo- Katug ampola fractional calculus. By transforming the differential equations into an integral equations,the existence of the solutions is obtained by using the Schauder's fixed point theorem , andsome related conclusions are obtained by using the properties of the constructional set of the solutions.