Solution of fractional integro-differential equations by using fractional differential transform method

Aytac Arikoglu and Ibrahim Ozkol

Chaos, Solitons & Fractals, 2009, vol. 40, issue 2, 521-529

Abstract: 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:2:p:521-529

DOI: 10.1016/j.chaos.2007.08.001

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