The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method. (11th September 2013)

• Record Type: Journal Article
• Authors: Bulut, Hasan; Baskonus, Haci Mehmet; Belgacem, Fethi Bin Muhammad
• Other Names: Saha Ray Santanu Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-09-11
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/203875
• Languages: English
• ISSNs: 1085-3375

Abstract

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.