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

被引：141

作者：

Arikoglu, Aytac ^{[1
]}

Ozkol, Ibrahim ^{[1
]}

机构：

[1] Istanbul Tech Univ, Fac Aeronaut & Astronaut, Dept Aeronaut Engn, TR-34469 Istanbul, Turkey

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 02期

关键词：

D O I：

10.1016/j.chaos.2007.08.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 file literature. It is observed that, FDTM call be utilized its it powerful and reliable tool for the solution of fractional integro-differential equations. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：521 / 529

页数：9

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