一类高分数阶微分方程边值问题解的存在性

Existence of solutions for a class of boundary value problem of high-order fractional differential equations

本文研究了一类高分数阶微分方程边值问题,其非线性项包含未知函数的导数项.利用Leray-Schauder连续性定理和Banach压缩映像原理,本文得到了问题解的存在性,并给出两个例子来说明结果的有效性.

This paper investigates a class of boundary value problem of higher-order fractional differential equations involving the first-order derivative in the nonlinear term. Existence of the solutions for the problem is obtained by using the Leray-Schauder continuation theorem and Banach contraction mapping principle. Two examples are presented to illustrate the validity of the results.