Reduction of fractional differential equation (FDE) to ordinary differential equation (ODE)

Authors(1) :-Hanan Abd Aljabbar

In this paper, Will show that how the solution of the fractional differential equation system can be converted into a problem in ordinary differential equation in two method. With this methods the only time the calculation fractional differential equation enters in to the picture is in the calculation of fractional derivatives of known functions.To reach this thing we will use the Laplace transformation in first method and the convolution of the concept of fractional green's function in the second method

Authors and Affiliations

Hanan Abd Aljabbar
Unvercity of Tikrit, Tikrit, Iraq

Fractional Differential Equation, Ordinary Differential Equation.

  1. K.S.Miller, "Linear Differential Equation in the Real Domain  "W.W.Norton and Co, New York, 1963.
  2. K. B. Oldham and J.Spanier "The Fractional calculus" A cademic press, New York,1974.
  3. K. S. Miller & B.Ross, "An Introduction To The Fractional Calculus And Fractional Differential Equation" john wiley & Sons,Inc, New York,1993.
  4. I. Podlubny , "Fractional Differential Equation "academic press,London,1999.
  5. A. A. Killbas,H.M.Srivastava&J.J.Trujillo," Theory And Applications Of Fractional Differential Equation"Elsevier B.V.2006.
  6. L. D. D. Bhatta, "Integral Transforms and Their Applications (Second Edition)", Taylor & Francis Group, LLC, New York, 2007.

Publication Details

Published in : Volume 1 | Issue 5 | September-October 2015
Date of Publication : 2015-10-25
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 212-217
Manuscript Number : IJSRSET15159
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

Hanan Abd Aljabbar, " Reduction of fractional differential equation (FDE) to ordinary differential equation (ODE), International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 1, Issue 5, pp.212-217, September-October.2015
URL : http://ijsrset.com/IJSRSET15159

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