Author/Authors :
Saadatmandi, Abbas Department of Applied Mathematics - Faculty of Mathematical Sciences - University of Kashan, Kashan, Iran , Khani, Ali Department of Mathematics - Faculty of Sciences - Azarbaijan Shahid Madani University, Tabriz, Iran , Azizi, Mohammad Reza Department of Mathematics - Faculty of Sciences - Azarbaijan Shahid Madani University, Tabriz, Iran
Abstract :
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.
Keywords :
Sinc functions , fractional derivatives , collocation method , caputo derivative
