On Katugampola Fourier Transform: Critical Overview

  • Tariq O. Salim Department of Mathematics, Al-Azhar University, Gaza, Palestine.
  • Atta A. K. Abu Hany Department of Mathematics, Al-Azhar University, Gaza, Palestine.
  • Mohammed S. El-Khatib Department of Mathematics, Al-Azhar University, Gaza, Palestine.
Keywords: Katugampola derivative, Katugampola Fourier transform

Abstract

The aim of this article is to introduce a new definition for the Fourier transform. This new definition will be considered as one of the generalizations of the usual (classical) Fourier transform. We imploy the new Katugampola derivative  to obtain some properties of Katugampola Fourier transform, and find the relation between Katugampola Fourier transform and the usual Fourier transform. The inversion formula and the convolution theorem for Katugampola Fourier transform are considered.

Published
2020-03-27
How to Cite
Salim, T. O., Hany, A. A. K. A., & El-Khatib, M. S. (2020). On Katugampola Fourier Transform: Critical Overview. Recent Studies in Mathematics and Computer Science Vol. 1, 29-44. Retrieved from https://stm1.bookpi.org/index.php/rsmcs-v1/article/view/1133
Issue
Recent Studies in Mathematics and Computer Science Vol. 1
Section
Articles