On q-Analogues of the Natural Transform of Certain q-Bessel Functions and Some Application

Abstract

Theory and applications of q-integral transforms have been evolving rapidly over the recent years. Consequently, several q-analogues of certain classical integrals have been investigated by many authors. In this paper, we formulate the q-analogues of the Natural transform and thereafter we apply for three families of q-Bessel functions. The results of this paper are new and complement previously known results. Moreover, we give later several examples to show effectiveness of the proposed results in case of q-Sumudu and q-Laplace transforms.