Mahgoub Transform Method for Solving Linear Fractional Differential Equations

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-58 Number-4
Year of Publication : 2018
Authors : A. Emimal Kanaga Puhpam and S. Katrin Lydia
  10.14445/22315373/IJMTT-V58P535

MLA

A. Emimal Kanaga Puhpam and S. Katrin Lydia "Mahgoub Transform Method for Solving Linear Fractional Differential Equations" , International Journal of Mathematics Trends and Technology (IJMTT). V58(4):253-257 June 2018. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract

In this paper, Mahgoub Transform Method has been introduced for solving linear Fractional Differential Equations (FDEs) with constant coefficients. The fractional derivatives are described in the Caputo sense. Some fundamental properties of Mahgoub Transform necessary in solving FDE are derived. The efficiency of this method has been demonstrated using examples.

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Keywords
Mahgoub transform, Fractional Differential Equations, Mittag-Leffler.