Search Results - "Rabei, Eqab M"

Quantization of fractional harmonic oscillator using creation and annihilation operators by Al-Masaeed, Mohamed, Rabei, Eqab. M., Al-Jamel, Ahmed, Baleanu, Dumitru

“…In this article, the Hamiltonian for the conformable harmonic oscillator used in the previous study [Chung WS, Zare S, Hassanabadi H, Maghsoodi E. The effect…”
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Quantisation of particle motion in dissipative harmonic environment by Rabei, Eqab M, Al-Jamel, Ahmed

“…In this work, the quantisation of particle propagating in a dissipative harmonic medium will be investigated using the creation and annihilation operator…”
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The Hamilton formalism with fractional derivatives by Rabei, Eqab M., Nawafleh, Khaled I., Hijjawi, Raed S., Muslih, Sami I., Baleanu, Dumitru

“…Recently the traditional calculus of variations has been extended to be applicable for systems containing fractional derivatives. In this paper the passage…”
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Extension of the variational method to conformable quantum mechanics by Al‐Masaeed, Mohamed, Rabei, Eqab M., Al‐Jamel, Ahmed

“…In this work, the variational method is developed within the framework of conformable quantum mechanics where conformable derivative is implemented. Three…”
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Solving Conformable Gegenbauer Differential Equation and Exploring Its Generating Function by Al-Masaeed, Mohamed Ghaleb, Rabei, Eqab M., Muslih, Sami I., Baleanu, Dumitru

“…In this manuscript, we address the resolution of conformable Gegenbauer differential equations with an order of α , where α ∈ (0,1). We demonstrate that our…”
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On fractional Euler–Lagrange and Hamilton equations and the fractional generalization of total time derivative by Baleanu, Dumitru, Muslih, Sami I., Rabei, Eqab M.

“…Fractional mechanics describe both conservative and nonconservative systems. The fractional variational principles gained importance in studying the fractional…”
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Some exactly solvable PT-invariant potentials with real spectra via the (extended) Nikiforov–Uvarov method by Abusini, M, Serhan, M, Al-Jamal, Mohammad F, Al-Jamel, Ahmed, Rabei, Eqab M

“…The (extended) Nikiforov–Uvarov method is employed to find exact solutions of the Schrödinger operator for three PT -invariant potentials (periodic…”
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Hamilton–Jacobi and fractional like action with time scaling by Herzallah, Mohamed A. E., Muslih, Sami I., Baleanu, Dumitru, Rabei, Eqab M.

“…This paper represents the Hamilton–Jacobi formulation for fractional variational problem with fractional like action written as an integration over a time…”
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Hamilton–Jacobi fractional mechanics by Rabei, Eqab M., Ababneh, Bashar S.

“…As a continuation of Rabei et al. work [Eqab M. Rabei, Khaled I. Nawafleh, Raed S. Hijjawi, Sami I. Muslih, Dumitru Baleanu, The Hamilton formalism with…”
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Quantization of fractional systems using WKB approximation by Rabei, Eqab M., Muslih, Sami I., Baleanu, Dumitru

“…The Caputo’s fractional derivative is used to quantize fractional systems using (WKB) approximation.The wave function is build such that the phase factor is…”
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Hamilton–Jacobi formulation of systems within Caputo's fractional derivative by Rabei, Eqab M, Almayteh, Ibtesam, Muslih, Sami I, Baleanu, Dumitru

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Fractional WKB approximation by Rabei, Eqab M., Altarazi, Ibrahim M. A., Muslih, Sami I., Baleanu, Dumitru

“…Wentzel–Kramer–Brillouin (WKB) approximation for fractional systems is investigated in this paper using the fractional calculus. In the fractional case, the…”
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Hamilton Jacobi partial differential equations of singular systems by RABEI, E. M

“…A singular system with primary constraints of the first kind and a singular system with primary and secondary constraints are investigated.The equations of…”
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Heisenberg's Equations of Motion with Fractional Derivatives by Rabei, Eqab M., Tarawneh, Derar M., Muslih, Sami I., Baleanu, Dumitru

“…Fractional variational principles is a new topic in the field of fractional calculus and it has been subject to intense debate during the last few years. One…”
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Solving conformable Gegenbauer differential equation and exploring its generating function by Al-Masaeed, Mohamed Ghaleb, Rabei, Eqab. M, Muslih, Sami I, Baleanu, Dumitru

“…International Journal of Applied and Computational Mathematics. 11 October 2024 In this manuscript, we address the resolution of conformable Gegenbauer…”
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The solution of conformable Laguerre differential equation using conformable Laplace transform by Rabei, Eqab. M, Al-Jamel, Ahmed, Al-Masaeed, Mohamed

“…Asian-European Journal of Mathematics.2023 In this paper, the conformable Laguerre and associated Laguerre differential equations are solved using the Laplace…”
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The effect of deformation of special relativity by conformable derivative by Al-Jamel, Ahmed, Al-Masaeed, Mohamed, Rabei, Eqab. M, Baleanu, Dumitru

“…Revista Mexicana de F\'isica.2022 In the article, the deformation of special relativity within the frame of conformable derivative is formulated. Within this…”
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WKB Approximation with Conformable Operator by Al-Masaeed, Mohamed, Rabei, Eqab. M, Al-Jamel, Ahmed

“…Modern Physics Letters A.2022 In this paper, the WKB method is extended to be applicable for conformable Hamiltonian systems where the concept of conformable…”
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Lagrangian and Hamiltonian Formulations of the Damped Harmonic Oscillator Using Caputo Fractional Derivative by Tarawneh, Khaldoun M., Rabei, Eqab M., Ghassib, Humam B.

“…In this work, the Caputo fractional derivative is used to construct the Lagrangian and the Hamiltonian formulations for nonconservative mechanical systems. The…”
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On Hamiltonian Formulation of Non-Conservative Systems by RABEI, Eqab M, ALHALHOLY, Tareq S

“…Fractional derivatives are used to construct the Lagrangian and the Hamiltonian formulation for non-conservative systems. To clarify the theory of Riewe two…”
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