Using Special Functions on Grünwald-Letnikov and Riemann Liouville Fractional Derivative and Fractional Integral

Authors : Taylan Demir, Shkelqim Hajrulla, Pınar Doğan

DOI : 10.13140/RG.2.2.20306.02247

Volume : 1

Issue : 1

Year : 2022

Page No : 1-17

Our this thesis; initially, we define special functions on fractional calculus because, gamma function[1,3,4,7], beta function [2,6], Integral function [5], Mittag-Leffler and Integration of the Mittag-Leffler function [3] are related with fractional derivatives and fractional Integrals[7]. Also, matlab, which is used on applied Mathematics field mostly, is applied on our thesis to interrupt special functions curves and to show fractional order derivative equation graphics. Owing to using definition of the special function, fractional derivative and fractional integral[7], we understand theoretic definition more easily.


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