Work

Some Results of Conformable Fourier Transforms

Year: 2024

Type: article

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.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v17i4.5411

Authors: Bahloul Rachid, Rechdaoui My Soufiane, Thabet Abdeljawad, Bahaaeldin Abdalla

Institutions: Université Sultan Moulay Slimane, Université Moulay Ismail de Meknes, Prince Sultan University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Prince Sultan University

OpenAlex ID: W4403934320

FWCI: 0.781

Cites:

Cited by: 1

Related to: 10