On a system of q-Laplace transform of two variables with applications

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:366

Article

Ganie, Javid Ahmad¹  Jain, Renu¹ 

[1] Jiwaji Univ, Sch Math & Allied Sci, Gwalior 474011, Madhya Pradesh, India

关键词: Quantum calculus;    q-Laplace transform;    q-Jackson integrals;    q-derivatives;    Convolution;   

DOI  :  10.1016/j.cam.2019.112407

来源: Elsevier

【 摘 要 】

In this paper, we introduce the definition of double Laplace transform in q-calculus by using the functions of several variables. Certain results on convergence, absolute convergence, convolution and its properties were discussed. Later on, to illustrate this integral transform several problems were discussed for the effectiveness and performance of the proposed method. Also, this paper surveys recent applications to solve generalized diffusion, wave and space-time telegraphic equations. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free