$q$-Deformed conformable fractional Natural transform

O. Herscovici; T.  Mansour

doi:10.37863/umzh.v74i8.6099

O. Herscovici Univ. Haifa, Israel
T. Mansour Univ. Haifa, Israel

DOI: https://doi.org/10.37863/umzh.v74i8.6099

Keywords: Laplace transform, Sumudu transform, q-deformation, Jackson q-derivative, conformable fractional q-derivative, q-Leibniz rule

Abstract

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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