title: A new Sumudu transform iterative method for time-fractional Cauchy reaction-diffusion equation.
abstract: In this paper, a new Sumudu transform iterative method is established and successfully applied to find the approximate analytical solutions for time-fractional Cauchy reaction-diffusion equations. The approach is easy to implement and understand. The numerical results show that the proposed method is very simple and efficient.
authors.affiliation: School of Mathematics and Statistics, Xidian University, Xi'an, 710118 China.
authors.forename: Kangle
authors.initials: K
authors.lastname: Wang
authors.affiliation: School of Mathematics and Statistics, Xidian University, Xi'an, 710118 China.
authors.forename: Sanyang
authors.initials: S
authors.lastname: Liu
keywords: Caputo fractional derivative; Diffusion equation; Sumudu transform