Reliable approach of iterative method for nonlinear fractional differential equations

International Journal of Physical Sciences

M.H. Heydari¹ 

关键词: Fractional differential equations;    Iterative method;    laurent series expansion;    caputo';    s fractional differential operator.;   

DOI  :  10.5897/IJPS11.226

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, a new approach of the iterative method is developed to handle nonlinear differential equations of fractional order. For this reason, an efficient modification of iterative method, namely iterative-Laurent method, is introduced based on iterative method and Laurent series expansion. The proposed approach is capable of reducing the size of calculations and easily overcome the difficulty arising in calculating complicated integrals. Furthermore, the new approach is compared with the variational iteration method and Adomian decomposition method in various nonlinear fractional differential equations and the obtained results reveal that the proposed method is more accurate and efficient.

【 授权许可】

CC BY