Conformable Fourier Transform on Time Scales

In this paper, we formulate the conformable Fourier transform on time scales, drawing motivation from the structure of the conformable bilateral Laplace transform. Some of the elementary properties are proved, including shifting, transform of derivative, conjugation, transform of Hilger delta function, and transform of integral.

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Publication Details

Journal
Armenian Journal of Mathematics
Published
2025-09-09
DOI
https://doi.org/10.52737/18291163-2025.17.9-1-15
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
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article

Conformable Fourier Transform on Time Scales

T. G. Thange, Svetlin G. Georgiev, Sneha Chhatraband
1 links
Armenian Journal of Mathematics
Differential Equations and Boundary Problems
article

Conformable Fourier Transform on Time Scales

T. G. Thange, Svetlin G. Georgiev, Sneha Chhatraband
article en

Abstract

In this paper, we formulate the conformable Fourier transform on time scales, drawing motivation from the structure of the conformable bilateral Laplace transform. Some of the elementary properties are proved, including shifting, transform of derivative, conjugation, transform of Hilger delta function, and transform of integral.

Armenian Journal of MathematicsVol. 17(9)
Dr. Babasaheb Ambedkar Marathwada University (IN), Sorbonne Université (FR)
Openalex Percentile: Top 65%
Differential Equations and Boundary Problems
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