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As an extension to the Laplace and Sumudu transforms the classical Naturaltransform was proposed to solve certain fluid flow problems. In this paper, weinvestigate 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 somegeneral special functions such as : the exponential functions, theq-trigonometric functions, the q-hyperbolic functions and the HeavisideFunction. Some further results involving convolutions and differentiations arealso obtained.

Notes on the q-Analogues of the Natural Transforms and Some Further Applications