q-Euler Lagrange Equation
- 1 Department of Mathematics, College of Sciences, Albaha University, KSA, Saudi Arabia
- 2 Department of Mathematics, AL-Qunfudhah University College, Umm Al-Qura University, Mecca, KSA, Saudi Arabia
- 3 AL-Qunfudhah University College, Umm Al-Qura University, Mecca. KSA, Saudi Arabia
Abstract
In this work, for q ∈ (0, 1), the q-deformation of Euler- Lagrange equation is studied; we use q-derivative (or Jackson derivative) to deduce a new formula of Euler- Lagrange equation. Some examples are presented.
DOI: https://doi.org/10.3844/ajassp.2019.283.288
Copyright: © 2019 Amna Hasan, Hakeem A. Othman and Sami H. Altoum. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- q-Derivative
- q-Euler-Lagrange Equation