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The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method
Author(s) -
Hasan Bulut,
Hacı Mehmet Başkonuş,
Fethi Bin Muhammad Belgacem
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/203875
Subject(s) - mathematics , connection (principal bundle) , ordinary differential equation , fractional calculus , algebra over a field , differential (mechanical device) , differential equation , mathematical analysis , calculus (dental) , pure mathematics , geometry , aerospace engineering , engineering , medicine , dentistry
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

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