APPLICATIONS OF NEW INTEGRAL TRANSFORM OPERATOR IN QUANTUM CALCULUS

Authors

  • Altaf A Bhat Mathematics and Computing Skills Unit, Preparatory Studies Centre, University of Technology and Applied Sciences
  • Javid A Ganie PG Department of Mathematics
  • Faiza A Sulaiman Mathematics and Computing Skills Unit, Preparatory Studies Centre, University of Technology and Applied Sciences
  • Said Salim Al-Kathiri Mathematics and Computing Skills Unit, Preparatory Studies Centre, University of Technology and Applied Sciences

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.

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Published

2024-11-28

Issue

Volume 29, Number 4, December 2024

Section

Articles