DOI:
Abstract
The aim of this paper is to study the extended generalized Mittag Leffler function. Further, the Fractional Fourier transform of the Caputo k
fractional derivative is presented. Caputo k-fractional differential equations are presented and their solutions are proposed by applying the fractional
Fourier transform.
Keywords
Fractional differential equation, Fractional derivative, Caputo k fractional derivative, Mittag-Leffler function, Fractional Fourier transform.