New applications of the variational iteration method - from differential equations to q -fractional difference equations

Advances in Difference Equations

Dumitru Baleanu¹  Guo-Cheng Wu² 

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

关键词: variational iteration method;    fractional calculus;    time scales;    q-calculus;    Laplace transform;    symbolic computation;   

DOI  :  10.1186/1687-1847-2013-21

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The non-classical calculi such as q-calculus, fractional calculus and q-fractional calculus have been hot topics in both applied and pure sciences. Then some new linear and nonlinear models have appeared. This study mainly concentrates on the analytical aspects, and the variational iteration method is extended in a new way to solve an initial value problem. MSC: 39A13, 74H10.

【 授权许可】

CC BY