SOLUTION TO FRACTIONAL ORDER HYBRID NON-HOMOGENEOUS ORDINARY DIFFERENTIAL EQUATION

• 作者: Dayi Zheng
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 非齐次微分方程 分数阶导数 常微分方程 HYBRID 分数阶微分方程 一阶导数 不均匀 l方程
• 年，卷（期）: 2014,（4）
• 页码范围: 494-501
• 页数: 8页
• 分类号: O175.1

摘要

In this paper, we study a fractional order hybrid non-homogeneous ordinary differential equation. We gain rαe rt for the α order derivatives of both Riemann-Liouville type and Caputo type of function f(t) = e rt by letting integral lower limit of fractional derivative be-∞. It is first time for us to use the traditional eigenvalue method to solve fractional order ordinary differential equation. However, the law of the number of mutually independent arbitrary constants in general solutions to fractional order hybrid non-homogeneous ordinary differential equation and general ordinary differential equation are very different.