Some Results of Conformable Fourier Transforms

Authors

  • Bahloul Rachid
  • Rechdaoui My Soufiane
  • Thabet Abdeljawad Department of Mathematics and Sciences, Prince Sultan University,P.O. Box 66833, Riyadh 11586, Saudi Arabia
  • Bahaaeldin Abdalla

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5411

Keywords:

Confromable derivative, conformable Fourier transform

Abstract

Based on a new definition of $\alpha$-periodical functions with $0 < \alpha \leq 1$ introduced by Khalil et al. (2014), we introduce a new definition of conformable Fourier transform for such a class of functions. Further, we establish some operational formulas, and we set the relation between the newly defined conformable Fourier transform and the classical Fourier transform. Finally, some classical results of periodical functions are obtained, and some illustrative examples are constructed.

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Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Some Results of Conformable Fourier Transforms. (2024). European Journal of Pure and Applied Mathematics, 17(4), 2405-2430. https://doi.org/10.29020/nybg.ejpam.v17i4.5411