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An Algorithm for the Numerical Solution of System of Fractional Differential Equations

by D.adel Sami Mohamed, Raghda Attia Mahmoud
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 65 - Number 11
Year of Publication: 2013
Authors: D.adel Sami Mohamed, Raghda Attia Mahmoud
10.5120/10970-6105

D.adel Sami Mohamed, Raghda Attia Mahmoud . An Algorithm for the Numerical Solution of System of Fractional Differential Equations. International Journal of Computer Applications. 65, 11 ( March 2013), 27-31. DOI=10.5120/10970-6105

@article{ 10.5120/10970-6105,
author = { D.adel Sami Mohamed, Raghda Attia Mahmoud },
title = { An Algorithm for the Numerical Solution of System of Fractional Differential Equations },
journal = { International Journal of Computer Applications },
issue_date = { March 2013 },
volume = { 65 },
number = { 11 },
month = { March },
year = { 2013 },
issn = { 0975-8887 },
pages = { 27-31 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume65/number11/10970-6105/ },
doi = { 10.5120/10970-6105 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:18:36.827980+05:30
%A D.adel Sami Mohamed
%A Raghda Attia Mahmoud
%T An Algorithm for the Numerical Solution of System of Fractional Differential Equations
%J International Journal of Computer Applications
%@ 0975-8887
%V 65
%N 11
%P 27-31
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we present and discuss an algorithm for the numerical solution of system of the initial value problems of the form where is the derivate of u of order , is the derivative of v of order ?in the sense of Caputo. The algorithm is based on the fractional Euler??s method which can be seen as a generalization of the classical Euler??s method.

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Index Terms

Computer Science
Information Sciences

Keywords

Generalized Taylor?s formula fractional Euler??s method fractional differential equation Caputo fractional derivative

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