TY - JOUR
T1 - Solution of fractional integro-differential equations by using fractional differential transform method
AU - Arikoglu, Aytac
AU - Ozkol, Ibrahim
PY - 2009/4/30
Y1 - 2009/4/30
N2 - In this study, fractional differential transform method (FDTM), which is a semi analytical numerical technique, is extended to solve fractional integro-differential equations of Volterra type. New theorems for the transformation of integral terms having degenerate kernels that never existed before are introduced with their proofs. This implemented new technique is validated by solving and comparing four different examples that exist in the literature. It is observed that, FDTM can be utilized as a powerful and reliable tool for the solution of fractional integro-differential equations.
AB - In this study, fractional differential transform method (FDTM), which is a semi analytical numerical technique, is extended to solve fractional integro-differential equations of Volterra type. New theorems for the transformation of integral terms having degenerate kernels that never existed before are introduced with their proofs. This implemented new technique is validated by solving and comparing four different examples that exist in the literature. It is observed that, FDTM can be utilized as a powerful and reliable tool for the solution of fractional integro-differential equations.
UR - http://www.scopus.com/inward/record.url?scp=64949197043&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2007.08.001
DO - 10.1016/j.chaos.2007.08.001
M3 - Article
AN - SCOPUS:64949197043
SN - 0960-0779
VL - 40
SP - 521
EP - 529
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 2
ER -