International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 9, Issue 2 (February 2022), Pages: 136-141

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 Original Research Paper

 Title: Fractional formulation of Podolsky Lagrangian density

 Author(s): Amer D. Al-Oqali *

 Affiliation(s):

 Department of Physics, Mutah University, Al-Karak, Jordan

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0003-2254-0019

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2022.02.015

 Abstract:

Lagrangians which depend on higher-order derivatives appear frequently in many areas of physics. In this paper, we reformulate Podolsky's Lagrangian in fractional form using left-right Riemann-Liouville fractional derivatives. The equations of motion are obtained using the fractional Euler Lagrange equation. In addition, the energy stress tensor and the Hamiltonian are obtained in fractional form from the Lagrangian density. The resulting equations are very similar to those found in classical field theory. 

 © 2022 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Podolsky's Lagrangian density, Fractional derivatives, Lagrangian formulation, Hamiltonian formulation

 Article History: Received 25 September 2021, Received in revised form 18 December 2021, Accepted 21 December 2021

 Acknowledgment 

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Al-Oqali AD (2022). Fractional formulation of Podolsky Lagrangian density. International Journal of Advanced and Applied Sciences, 9(2): 136-141

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