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On Katugampola Fourier Transform

On Katugampola Fourier transform
descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2019 English Publisher:WileyJournal:Journal of Mathematics, volume 2,019, pages 1-6 (issn: 2314-4629, eissn: 2314-4785, Copyright policy )
Authors: Tariq O. Salim; Atta A. K. Abu Hany; Mohammed S. El-Khatib;

doi: 10.1155/2019/5942139

On 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 employ the new Katugampola derivative to obtain some properties of the Katugampola Fourier transform and find the relation between the Katugampola Fourier transform and the usual Fourier transform. The inversion formula and the convolution theorem for the Katugampola Fourier transform are considered.

Related Organizations
Keywords

conformable fractional derivative, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, QA1-939, Katugampola derivative, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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