Katugampola分数阶微分方程解的吸引性

Attractiveness of solutions for Katugampola fractional differential equation

研究了一类Katugampola分数阶微分方程解的吸引性,利用Schauder不动点定理及非紧性测度的方法,得到了Katugampola分数阶微分方程的解,建立了解全局吸引的充分判据,得到了解的吸引性结果。所得结果充分揭示了Katugampola分数阶微分方程解的特性。

We study the attractiveness of solutions for a Katugampola fractional differential equation.Using the Schauder fixed point theorem and measuring the noncompactness,we obtain the solutions for the Katugampola fractional differential equation and establish sufficient conditions for globally attractive solutions to the problem.Our results essentially reveal the characteristics of solutions for the Katugampola fractional differential equation.