Solution of fractional differential equations by using differential transform method

Aytac Arikoglu, Ibrahim Ozkol*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

379 Citations (Scopus)

Abstract

In this study, we implement a well known transformation technique, Differential Transform Method (DTM), to the area of fractional differential equations. Theorems that never existed before are introduced with their proofs. Also numerical examples are carried out for various types of problems, including the Bagley-Torvik, Ricatti and composite fractional oscillation equations for the application of the method. The results obtained are in good agreement with the existing ones in open literature and it is shown that the technique introduced here is robust, accurate and easy to apply.

Original languageEnglish
Pages (from-to)1473-1481
Number of pages9
JournalChaos, Solitons and Fractals
Volume34
Issue number5
DOIs
Publication statusPublished - Dec 2007

Fingerprint

Dive into the research topics of 'Solution of fractional differential equations by using differential transform method'. Together they form a unique fingerprint.

Cite this