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ISSN: 1554-3641 (Online)
Research Article Open Access

q-Euler Lagrange Equation

Amna Hasan1, Hakeem A. Othman2 and Sami H. Altoum3
  • 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.

American Journal of Applied Sciences
Volume 16 No. 9, 2019, 283-288

DOI: https://doi.org/10.3844/ajassp.2019.283.288

Submitted On: 3 October 2019 Published On: 22 November 2019

How to Cite: Hasan, A., Othman, H. A. & Altoum, S. H. (2019). q-Euler Lagrange Equation. American Journal of Applied Sciences, 16(9), 283-288. https://doi.org/10.3844/ajassp.2019.283.288

Open AccessCopyright: © 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