The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method

被引：46
|
作者：
Bulut, Hasan [1 ]
Baskonus, Haci Mehmet [2 ]
Belgacem, Fethi Bin Muhammad [3 ]
机构：
[1] Firat Univ, Dept Math, TR-23169 Elazig, Turkey
[2] Tunceli Univ, Dept Comp Engn, Tunceli, Turkey
[3] PAAET, Fac Basic Educ, Dept Math, Shamiya, Kuwait
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
VARIATIONAL ITERATION METHOD; DECOMPOSITION METHOD;
D O I：
10.1155/2013/203875
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the rudiments of fractional calculus and the consequent applications of the Sumudu transform on fractional derivatives. Once this connection is firmly established in the general setting, we turn to the application of the Sumudu transform method (STM) to some interesting nonhomogeneous fractional ordinary differential equations (FODEs). Finally, we use the solutions to form two-dimensional (2D) graphs, by using the symbolic algebra package Mathematica Program 7.
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页数：6
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