Title of article
Numerical Calculation of Fractional Derivatives for the Sinc Functions via Legendre Polynomials
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
Pages
16
From page
71
To page
86
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
Journal title
Mathematics Interdisciplinary Research
Serial Year
2020
Record number
2605173
Link To Document