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A New Technique for Solving Fractional Order Systems: Hermite Collocation Method

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Document pages: 17 pages

Abstract: In this study, we establish an approximatemethod which produces an approximate Hermite polynomial solution to a system offractional order differential equations with variable coefficients. Atcollocation points, this method converts the mentioned system into a matrixequation which corresponds to a system of linear equations with unknown Hermitepolynomial coefficients. Construction of the method on the aforementioned typeof equations has been presented and tested on some numerical examples. Resultsrelated to the effectiveness and reliability of the method have beenillustrated.

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