Generalized Conformable Hamiltonian Dynamics with Higher-Order Derivatives
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i1.5478Keywords:
Conformable derivative, Ostrogradsky’s Hamiltonian, Energy and momentum conservationAbstract
In this paper, we investigate higher-order calculus using the conformable derivative and integral. We use a fractional variant of the calculus of variations to obtain the Euler-Lagrange equation. Our route integral quantization approach streamlines the procedure by integrating solely over canonical coordinates q, eliminating the requirement to integrate higher-order derivatives . In addition, we employ the conformable derivative to develop canonical conserved energy-momentum and Ostrogradsky’s Hamiltonian. Furthermore, we generalized the Hamilton formulation for higher order derivatives and applied this new formulation to obtained equations of motion for a one dimensional point particle.
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Copyright (c) 2025 Yazen M. Alawaideh, Aysel Ramazanova, Hayat Issaadi, Bashar. M. Al-khamiseh, Muhammad Bilal, Dumitru Baleanu Baleanu
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