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

Author

Listed:
  • Hasan Bulut
  • Haci Mehmet Baskonus
  • Fethi Bin Muhammad Belgacem

Abstract

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.

Suggested Citation

  • Hasan Bulut & Haci Mehmet Baskonus & Fethi Bin Muhammad Belgacem, 2013. "The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:203875
    DOI: 10.1155/2013/203875
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    References listed on IDEAS

    as
    1. V. G. Gupta & Bhavna Shrama & Adem Kiliçman, 2010. "A Note on Fractional Sumudu Transform," Journal of Applied Mathematics, Hindawi, vol. 2010, pages 1-9, July.
    2. V. G. Gupta & Bhavna Shrama & Adem Kiliçman, 2010. "A Note on Fractional Sumudu Transform," Journal of Applied Mathematics, John Wiley & Sons, vol. 2010(1).
    3. Fethi Bin Muhammed Belgacem & Ahmed Abdullatif Karaballi, 2006. "Sumudu transform fundamental properties investigations and applications," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-23, May.
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