عنوان Numerical Calculation of Fractional Derivatives for the Sinc Functions via Legendre Polynomials نوع پژوهش مقاله چاپ شده کلیدواژهها Sinc functions, Fractional derivatives, Collocation method, Caputo derivative Shifted Legendre polynomials چکیده 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 derivatives of sinc functions. Some numerical examples are introduced to demonstrate the reliability and effectiveness of the introduced method. پژوهشگران عباس سعادتمندی (نفر اول)، علی خانی (نفر دوم)، محمد رضا عزیزی (نفر سوم)