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Mahamad Mashoof
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Mathematics

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A Collocation Method for Solving Fractional Order Linear System Amir Hosein Refahi Sheikhani; Mahamad Mashoof
Journal of the Indonesian Mathematical Society Volume 23 Number 1 (April 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.1.257.27-42

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.
Co-Authors Amir Hosein Refahi Sheikhani