Research Article Open Access

q-Euler Lagrange Equation

Amna Hasan1, Hakeem A. Othman2 and Sami H. Altoum3
  • 1 Albaha University, Saudi Arabia
  • 2 AL-Qunfudhah University College, Saudi Arabia
  • 3 Umm Al-Qura University, Saudi Arabia
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

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.

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Keywords

  • q-Derivative
  • q-Euler-Lagrange Equation