2015/09/28 by Shrideh Al‐Omari, Al-Omari, S. K. Q., Kilicman, A.
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.1510.00406
openalex publication_date 2015/09/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
As an extension to the Laplace and Sumudu transforms the classical Natural transform was proposed to solve certain fluid flow problems. In this paper, we investigate q-analogues of the q-Natural transform of some special functions. We derive the q-analogues of the q-integral transform and further apply to some general special functions such as : the exponential functions, the q-trigonometric functions, the q-hyperbolic functions and the Heaviside Function. Some further results involving convolutions and differentiations are also obtained.