APPLICATIONS OF NEW INTEGRAL TRANSFORM OPERATOR IN QUANTUM CALCULUS

Abstract

In this article, we have derived the basic analogue of a new integral transform operator using the methods of q-calculus. Further, we establish some properties of this integral transform operator which coincides with the corresponding classical ones when qtends to unity. Finally, the q-representation of this integral transform operator has beenused to derive the analytical solution of analogous heat-diusion equation.