Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations
Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations
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DOI：
10.1155/2015/131690
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发表时间：
2015-01-01
影响因子：
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通讯作者：
Belgacem, Fethi Bin Muhammad
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文献类型：
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作者：
Demiray, Seyma Tuluce;Bulut, Hasan;Belgacem, Fethi Bin Muhammad
我们利用了所谓的Sumudu变换方法（STM），这是一类既有整数阶导数又有非整数阶导数的常微分方程。首先给出了STM的性质，然后将其直接应用于分数型常微分方程，包括齐次和非齐次方程。利用STM方法，得到了分数型齐次和非齐次常微分方程的精确解。利用Mathematica软件对得到的解进行了数值模拟，并给出了二维图形。这里使用的方法是一种高效、强大和保密的工具，可以找到精确的解。
We make use of the so-called Sumudu transform method (STM), a type of ordinary differential equations with both integer and noninteger order derivative. Firstly, we give the properties of STM, and then we directly apply it to fractional type ordinary differential equations, both homogeneous and inhomogeneous ones. We obtain exact solutions of fractional type ordinary differential equations, both homogeneous and inhomogeneous, by using STM. We present some numerical simulations of the obtained solutions and exhibit two-dimensional graphics by means of Mathematica tools. The method used here is highly efficient, powerful, and confidential tool in terms of finding exact solutions.