An approximate solution of fractional cable equation by homotopy analysis method

Boundary value problems

Ebru Cavlak¹  Mustafa Bayram²  Mustafa Inc⁴ 

[1] ğ, Turkey;Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey;Department of Mathematics, Firat University, Elazı

关键词: cable equation;    fractional differential equations;    fractional cable equation;    homotopy analysis method;   

DOI  :  10.1186/1687-2770-2014-58

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, the homotopy analysis method (HAM) is applied to solve the fractional cable equation by the Riemann-Liouville fractional partial derivative. This method includes an auxiliary parameter h which provides a convenient way of adjusting and controlling the convergence region of the series solution. In this study, approximate solutions of the fractional cable equation are obtained by HAM. We also give a convergence theorem for this equation. A suitable value for the auxiliary parameter h is determined and results obtained are presented by tables and figures.

【 授权许可】

CC BY