Analysis of fractional partial differential equations by Taylor series expansion

Boundary value problems

Esra Korkmaz¹  Serta Erman²  Ali Demir²  Berrak zgr² 

[1] Ardahan University, Ardahan, Turkey;Department of Mathematics, Kocaeli University, Umuttepe, Izmit, Turkey

关键词: Approximate Solution;    Taylor Series;    Fractional Order;    Fractional Derivative;    Space Variable;   

DOI  :  10.1186/1687-2770-2013-68

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We develop a formulation for the analytic or approximate solution of fractional differential equations (FDEs) by using respectively the analytic or approximate solution of the differential equation, obtained by making fractional order of the original problem integer order. It is shown that this method works for FDEs very well. The results reveal that it is very effective and simple in determination of solutions of FDEs.

【 授权许可】

CC BY