Variational iteration method for fractional calculus - a universal approach by Laplace transform

Advances in Difference Equations

Guo-Cheng Wu¹  Dumitru Baleanu² 

[1] College of Mathematics and Information Science, Neijiang Normal University, Neijiang, China;College of Water Resources and Hydropower, Sichuan University, Chengdu, Sichuan, China

关键词: variational iteration method;    fractional calculus;    Laplace transform;    symbolic computation;   

DOI  :  10.1186/1687-1847-2013-18

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A novel modification of the variational iteration method (VIM) is proposed by means of the Laplace transform. Then the method is successfully extended to fractional differential equations. Several linear fractional differential equations are analytically solved as examples and the methodology is demonstrated. MSC: 39A08, 65K10, 34A12.

【 授权许可】

CC BY