TY - JOUR
T1 - Solution of fractional differential equations by using differential transform method
AU - Arikoglu, Aytac
AU - Ozkol, Ibrahim
PY - 2007/12
Y1 - 2007/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34250215244&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2006.09.004
DO - 10.1016/j.chaos.2006.09.004
M3 - Article
AN - SCOPUS:34250215244
SN - 0960-0779
VL - 34
SP - 1473
EP - 1481
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 5
ER -