IJSRSET calls volunteers interested to contribute towards the scientific development in the field of Science, Engineering and Technology

Home > IJSRSET15159                                                     


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

Authors(1):

Hanan Abd Aljabbar
  • Abstract
  • Authors
  • Keywords
  • References
  • Details
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

Hanan Abd Aljabbar

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 Print ISSN Online ISSN
2015-10-25 2395-1990 2394-4099
Page(s) Manuscript Number   Publisher
212-217 IJSRSET15159   Technoscience Academy

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.php

IJSRSET Xplore

Subscribe

Conferences

National Conference on Advances in Mechanical Engineering 2017(NCAME 2017)

National Conference on Emerging Trends in Civil Engineering 2017( NCETCE 2017)