分数阶微分方程积分边值问题正解的唯一性

Uniqueness of Positive Solutions for the Fractional Differential Equation with Integral Boundary Value Problem

分数阶微分是可以处理任意阶数的微分、积分,是整数阶微积分的推广。本文主要研究分数阶微分方程积分边值问题的正解,应用Banach不动点定理,得到了方程正解的唯一性。

Fractional calculus is a kind of differential and integral which can deal with any order. It is a gen-eralization of integral calculus. In this paper, we mainly study the positive solutions for the frac-tional differential equation with integral boundary value problem. By using the Banach fixed point theorem, we obtain the uniqueness of the positive solutions of the equation.