Mohammad-Reza Azizi
Department of Mathematics, Faculty of Sciences, Azarbaijan Shahid Madani University, Tabriz, Iran
[ 1 ] - Sinc operational matrix method for solving the Bagley-Torvik equation
The aim of this paper is to present a new numerical method for solving the Bagley-Torvik equation. This equation has an important role in fractional calculus. The fractional derivatives are described based on the Caputo sense. Some properties of the sinc functions required for our subsequent development are given and are utilized to reduce the computation of solution of the Bagley-Torvik equati...
[ 2 ] - Numerical Calculation of Fractional Derivatives for the Sinc Functions via Legendre Polynomials
This paper provides the fractional derivatives of the Caputo type for the sinc functions. It allows to use efficient numerical method for solving fractional differential equations. At first, some properties of the sinc functions and Legendre polynomials required for our subsequent development are given. Then we use the Legendre polynomials to approximate the fractional deri...
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