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Open Access Research

Analysis of fractional partial differential equations by Taylor series expansion

Ali Demir1*, Sertaç Erman1, Berrak Özgür1 and Esra Korkmaz2

Author Affiliations

1 Department of Mathematics, Kocaeli University, Umuttepe, Izmit, Kocaeli, 41380, Turkey

2 Ardahan University, Ardahan, 75000, Turkey

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Boundary Value Problems 2013, 2013:68  doi:10.1186/1687-2770-2013-68

Published: 30 March 2013

Abstract

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.