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

Authors

  • Hanan Abd Aljabbar  Unvercity of Tikrit, Tikrit, Iraq

Keywords:

Fractional Differential Equation, Ordinary Differential Equation.

Abstract

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

References

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  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.

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2015-10-25

Issue

Volume 1, Issue 5, September-October-2015

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
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.