A fractional approach to Hamiltonian-generalized classical fields : The Hamilton-Jacob technique

Alawaideh, Yazen. M.; Abu-Izneid, B.; Al-Khamiseh, Bashar. M.; Baleanu, Dumitru

doi:10.47974/JIM-2098

Open Access Research Article

A fractional approach to Hamiltonian-generalized classical fields : The Hamilton-Jacob technique

^*Yazen. M. AlawaidehCorresponding authoryazen_awaida@yahoo.comMEU Research UnitJordan Middle East UniversityAmman, 17110, JordanView full profile → , B. Abu-IzneidDepartment of Robotics and Artificial Intelligence EngineeringFaculty of EngineeringAl-Ahliyya Amman UniversityAl Salt Road, Amman, 19111, JordanView full profile → , Bashar. M. Al-Khamisehbashar.kham@yahoo.comMEU Research UnitJordan Middle East UniversityAmman, 17110, JordanView full profile → , Dumitru Baleanudumitru@cankaya.edu.trAffiliation 1Department of Computer Science and MathematicsLebanese American UniversityBeirut, 1102 2801, LebanonAffiliation 2Institute of Space Sciences – INFLPR SubsidiaryMagurele-Bucharest, RomaniaView full profile →

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pp. 2601–2612Vol. 28Issue 7October 2025DOI: 10.47974/JIM-2098XML

Received:: 07 Feb 2024
Published Online:: 10 Jun 2025
Article type:: Research Article
Language:: EN
Article no.:: JIM-2098
Pages:: 2601–2612

Abstract

We explore classical fields by employing fractional differentials via the fractional Hamilton-Jacobi equation. Specifically, the fractional Hamiltonian equations are established for a particular scenario involving classical fields. This formulation gives rise to equations that bear resemblance to those in classical field theory. In the Hamilton-Jacobi system, we handle an inconsistent Lagrangian comprising variables that represent the scalar field and the fermionic field. To represent the formulas of motion, we construct overall differential formulas with multiple parameters. By considering integrability conditions, we express the system through path integration.

Keywords

Fractional generalized euler Conformable fractional derivative Hamilton-Jacobi formulation Integrability conditions

Subject Classifications

34A0865L6026A3342C40

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