Adomian's Method Applied to Solve Ordinary and Partial Fractional Differential Equations

• 作 者: HAO Lili LI Xiaoyan LIU Song JIANG Wei
• 机 构: Department of Mathematics Science, Anhui University, Hefei 230601, China;Department of Mathematics,
• 出 处: 上海交通大学学报（英文版）
• 发表日期: 2017年3期
• 关键词: fractional calculus ordinary fractional differential equations partial fractiona

This paper presents a method to solve the problems of solutions for integer differential and partial differential equations using the convergence of Adomian’s Method.In this paper,we firstly use the convergence of Adomian’s Method to derive the solutions of high order linear fractional equations,and then the numerical solutions for nonlinear fractional equations.we also get the solutions of two fractional reaction-diffusion equations.We can see the advantage of this method to deal with fractional differential equations.