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
摘要: 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。
Abstract: 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.
文章引用：卢云雪, 王颖, 吴英昭, 李大伟. 分数阶微分方程积分边值问题正解的唯一性[J]. 理论数学, 2020, 10(1): 6-10. https://doi.org/10.12677/PM.2020.101002

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