无限区间上多分数阶微分方程初值问题解的存在与唯一性

本文研究一类无限区间上具有Riemann-Liouville 导数的多分数阶非线性微分方程初值问题,在一类加权函数空间上使用Schauder 不动点定理建立了该问题解的存在性和唯一性结果, 举例说明了定理的应用.

Existence and uniqueness of solutions for initial value problems of multi-order fractional differential equations on the half lines

In this article, we establish the existence and uniqueness of solutions to an initial value problem of the nonlinear fractional differential equation on the half line involving Riemann-Liouville fractional derivatives. Our analysis rely on the well-known fixed point theorem of Schauder.