q-SPACE (q-TIME)-DEFORMATION OF THE CONTINUITY EQUATION
DOI:
https://doi.org/10.29121/granthaalayah.v9.i8.2021.4177Keywords:
Q-Derivative, Q- Space Deformation Continuity Equation, Q-Time Deformation Continuity Equation, Q-CalculusAbstract [English]
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.
Downloads
References
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 DOI: https://doi.org/10.2307/1968274
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 DOI: https://doi.org/10.1016/j.jmaa.2003.09.004
H. F. Jackson, q-Difference equations, Am. J. Math., 32, pp. 305-314, (1910). Retrived from https://doi.org/10.2307/2370183 DOI: https://doi.org/10.2307/2370183
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 DOI: https://doi.org/10.1016/j.chaos.2015.12.023
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 DOI: https://doi.org/10.1515/ms-2016-0238
Hakeem A. Othman," The q-Gamma White Noise", Tatra Mountains
Mathematical Publications, 66 (2016), 81 – 90. Retrived from https://doi.org/10.1515/tmmp-2016-0022 DOI: https://doi.org/10.1515/tmmp-2016-0022
S. H. Altoum., H. A. Othman, H. Rguigui, Quantum white noise Gaussian kernel operators, Chaos, Solitons & Fractals, 104 (2017), 468-476. Retrived from https://doi.org/10.1016/j.chaos.2017.08.039 DOI: https://doi.org/10.1016/j.chaos.2017.08.039
Sami H. Altoum, q deformation of Transonic Gas Equation, Journal of Mathematics and Statistics, 14(2018),88-93. Retrived from https://doi.org/10.3844/jmssp.2018.88.93 DOI: https://doi.org/10.3844/jmssp.2018.88.93
W. H. Abdi, On certain q-difference equations and q-Laplace transforms, Proc. Nat. Inst. Sci. India Acad , 28 A, pp. 1-15, (1962).
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Hakeem A. Othman
This work is licensed under a Creative Commons Attribution 4.0 International License.
With the licence CC-BY, authors retain the copyright, allowing anyone to download, reuse, re-print, modify, distribute, and/or copy their contribution. The work must be properly attributed to its author.
It is not necessary to ask for further permission from the author or journal board.
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.
