$q$-Deformed conformable fractional Natural transform

UDC 517.9 We develop a new deformation and generalization of the natural integral transform based on the conformable fractional $q$-derivative. We obtain transformation of some deformed functions and apply the transform to solve linear differential equation with given initial conditions.

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Bibliographic Details
Date:2022
Main Authors: Herscovici, O., Mansour, T.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2022
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6099
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal