In this paper, a new methodology is discussed for computing the Fourier transform of a
function using the definition of this transform based on operator’s calculus. As is well known, the integral
transform computation of a function is very complex; hence, the solution tables with these transforms
are not so numerous. This proposal is intended to compute the fractional transform of an exponential
function which generalizes known exponentials, using a novel technique achieving a simplified
mathematical expression compared to more laborious methods develop by other researchers. The results
obtained are equivalent to those produced by other colleagues, providing the same fractional Fourier
transforms for all particular cases in which some specific parameters are varied. Moreover, the proposed
methodology accomplish the expected results but reducing significantly the algorithmic complexity
Real Time Impact Factor:
Pending
Author Name: Héctor E. Martínez S , Silvino Rodríguez
URL: View PDF
Keywords: Fractional calculus, exponential, integral transform, fractional Fourier transform.
ISSN: ISSN Impreso: 1316-4821
EISSN: ISSN Digital: 2542-3401
EOI/DOI:
Add Citation
Views: 1
