q-SPACE (q-TIME)-DEFORMATION OF THE CONTINUITY EQUATION-Reference-Cited by-同舟云学术

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q-SPACE (q-TIME)-DEFORMATION OF THE CONTINUITY EQUATION

Published:2021-08-31 Issue:8 Volume:9 Page:185-192
ISSN:2350-0530
Container-title:International Journal of Research -GRANTHAALAYAH
language:
Short-container-title:Int. J. Res. Granthaalayah

Author:

Othman Hakeem A.^ORCID

Abstract

A q-space (q-time)-deformation of the continuity equations are introduced using the q-derivative (or Jackson derivative). By quantum calculus, we solve such equations. The free cases are discussed separately.

Publisher

Granthaalayah Publications and Printers

Subject

Ocean Engineering

Reference10 articles.

1. C. R. Adams, On the linear ordinary q-difference equation, Am. Math. Ser., II, 30, pp. 195-205, (1929). Retrived from https://doi.org/10.2307/1968274

2. G. Bangerezako, Varitional q-calculus, J. Math. Anal. Appl., 289, pp. 650-665, (2004). Retrived from https://doi.org/10.1016/j.jmaa.2003.09.004

3. H. F. Jackson, q-Difference equations, Am. J. Math., 32, pp. 305-314, (1910). Retrived from https://doi.org/10.2307/2370183

4. H. Rguigui, Characterization of the QWN-conservation operator, Chaos, Solitons & Fractals, Volume 84, 41-48, (2016). Retrived from https://doi.org/10.1016/j.chaos.2015.12.023

5. H. Rguigui, Wick Differential and Poisson Equations Associated to The QWN-Euler Operator Acting On Generalized Operators, Mathematica Slo., 66 (2016), No. 6, 1487-1500. Retrived from https://doi.org/10.1515/ms-2016-0238

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