The generalized Rach-Adomian-Meyers modified decomposition method for nonlinear fractional differential equations

摘要：

We present the generalized Rach-Adomian-Meyers modified decomposition method (MDM) for solving nonlinear fractional differential equations and make a comparison study with the Adomian decomposition method (ADM) and the Wazwaz modified ADM by two examples. These methods can treat any analytic nonlinearity. In the ADM and Wazwaz modified ADM, the recursion operations for the solution components un involve the calculations of the fractional integrals, while in the generalized Rach-Adomian-Meyers MDM, the recurrence operations for the solution coefficients an do not involve any integration. This offers a computational advantage for the generalized Rach-Adomian-Meyers MDM.

关键词： Adomian decomposition method Modified decomposition method Adomian-Rach theorem Adomian polynomials Generalized power series Fractional differential equations

作者: Jun-Sheng Duan Temuer Chaolu Randolph Rach

作者单位: College of Sciences, Shanghai Institute of Technology, Shanghai201418, PR China College of Sciences and Arts, Shanghai Maritime University,Shanghai 200135, PR China 16 South Maple Street, Hartford, Michigan 49057-1225, USA

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-8

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）