q-deformed conformable fractional Natural transform

2018/11/06 by Herscovici, Orli, Mansour, Toufik
#05A30 #33D05 #44A10 #44A20 #44A30 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.02238

Abstract

In this paper, 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 for solving linear differential equation with given initial conditions.

Related

• Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method
• Tutorial on one-dimensional q-Fourier transforms
• A new fractional derivative and its fractional integral with some\n example
• Precise interpretation of the conformable fractional derivative
• Remarks about the existence of conformable derivatives and some consequences