"The Degasperis-Procesi Lagrangian Density:Functional Fractional Formul" by Yazen M. Alawaideh, Bashar M. Al-khamiseh et al.

Progress in Fractional Differentiation & Applications

Article Title

The Degasperis-Procesi Lagrangian Density:Functional Fractional Formulation

Authors

Yazen M. Alawaideh, Research Unit, Middle East University, Amman, JordanFollow
Bashar M. Al-khamiseh, Department of Physics, The University of Jordan, 11942-Amman, JordanFollow
Samer Alawaideh, Department of Chemistry, Isra University, Amman, JordanFollow
Jihad Asad, Dep. of Physics, Faculty of Applied Science, Palestine Technical University, Kadoorie Tulkarm P 305, PalestineFollow
Basem Abu-Izneid, Department of Electrical Engineering, University of Business and Technology, Jeddah 21432, Saudi ArabiaFollow

Author Country (or Countries)

Jordan

Abstract

In this article, we developed the Hamiltonian formulation of third-order continuous field systems. A fractional variational principle based on the combined Riemann–Liouville fractional derivative operator is established. The fractional variational principle is used to obtain fractional Euler equations and fractional Hamilton equations. The Hamilton equations of motion are also found to agree with the Euler-Lagrange equations for these systems. Finally, we study an example to elucidate the results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090210

Recommended Citation

M. Alawaideh, Yazen; M. Al-khamiseh, Bashar; Alawaideh, Samer; Asad, Jihad; and Abu-Izneid, Basem (2023) "The Degasperis-Procesi Lagrangian Density:Functional Fractional Formulation," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 2, Article 10.
DOI: http://dx.doi.org/10.18576/pfda/090210
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss2/10

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