SOLUTION OF GENERALIZED PARTIAL DIFFERENTIAL EQUATIONS BY USING DOUBLE Q-INTEGRAL TRANSFORM

Authors

  • Javid A Ganie PG Department of Mathematics, GDC
  • Haider Abbas Rizvi Department of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University
  • Altaf A Bhat Mathematics and Computing Skills Unit, Preparatory Studies Centre, University of Technology and Applied Sciences
  • Faiza A Sulaiman Mathematics and Computing Skills Unit, Preparatory Studies Centre, University of Technology and Applied Sciences
  • D. K. Jain Department of Engineering Mathematics and Computing, Madhav Institute of Technology and Science, Deemed University

Abstract

In this article, we present the meaning of two Laplace-Sumudu transforms in q-calculus using the two variable functions. This binary transformation is a new combination of the Laplace transform and the Sumudu transform. The main aim of this work is todemonstrate a new efficient binary q-transformation for solving differential equations. Topresent this new change, several problems are discussed to understand the effectiveness and efficiency of the plan. Also, this article surveys recent applications to solve generalized diffusion, wave and space-time telegraphic equations.

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Published

2025-02-25

Issue

Volume 30, Number 1, March 2025

Section

Articles