Journal of the Indonesian Mathematical Society
Volume 23 Number 1 (April 2017)

A Collocation Method for Solving Fractional Order Linear System

Refahi Sheikhani, Amir Hosein (Unknown)
Mashoof, Mahamad (Unknown)



Article Info

Publish Date
24 Dec 2017

Abstract

In this paper we propose the collocation method to achieve the numerical solution of fractional order linearsystems where a Fractional Derivative is defined in the Caputo sense.We use Taylor collocation method,which is based on collocation method for solving fractional differential equation. This method is based onfirst taking the truncated Taylor expansions of the vector function’s solution in the Fractional order linearsystem and then substituting their matrix forms into the system. Using collocation points, we have a systemof linear algebraic equation.The method has been tested by some numerical examples.DOI : http://dx.doi.org/10.22342/jims.23.1.257.

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Journal Info

Abbrev

JIMS

Publisher

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...