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1

Lagrangian and Hamiltonian Formulations of the Damped Harmonic Oscillator Using Caputo Fractional Derivative

Tarawneh, Khaldoun M., Rabei, Eqab M., Ghassib, Humam B.

Journal:

Journal of Dynamical Systems and Geometric Theories

Year:

2010

Language:

english

File:

PDF, 193 KB

english, 2010

2

Bargmann invariants and geometric phases: A generalized connection

Rabei, Eqab M., Arvind,, Mukunda, N., Simon, R.

Journal:

Physical Review A

Year:

1999

Language:

english

File:

PDF, 161 KB

english, 1999

3

Hamilton–Jacobi formulation of systems within Caputo's fractional derivative

Rabei, Eqab M, Almayteh, Ibtesam, Muslih, Sami I, Baleanu, Dumitru

Journal:

Physica Scripta

Year:

2008

Language:

english

File:

PDF, 2.80 MB

english, 2008

4

Hamilton-Jacobi treatment of second-class constraints

Rabei, Eqab M., Güler, Yurdahan

Journal:

Physical Review A

Year:

1992

Language:

english

File:

PDF, 135 KB

english, 1992

5

The Motion of a Spinning Particle in an External Electromagnetic Field as a Constrained System

Rabei, Eqab M., Nawafleh, Khaled I., Ghassib, Humam B.

Journal:

Journal of Dynamical Systems and Geometric Theories

Year:

2004

Language:

english

File:

PDF, 532 KB

english, 2004

6

[ASME ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Las Vegas, Nevada, USA (September 4–7, 2007)] Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C - On Fractional Hamilton Formulation Within Caputo Derivatives

Baleanu, Dumitru, Muslih, Sami I., Rabei, Eqab M.

Year:

2007

Language:

english

File:

PDF, 44 KB

english, 2007

7

Quantization of Brownian Motion

Eqab M. Rabei, Abdul-Wali Ajlouni, Humam B. Ghassib

Journal:

International Journal of Theoretical Physics

Year:

2006

Language:

english

File:

PDF, 168 KB

english, 2006

8

[ASME ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Long Beach, California, USA (September 24–28, 2005)] Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C - Quantization of a Free Particle in a Dissipative Medium: Interaction of Charged Particles With Matter

Rabei, Eqab M., Ajlouni, Abdul-Wali, Ghassib, Humam B.

Year:

2005

Language:

english

File:

PDF, 336 KB

english, 2005

9

Hamilton–Jacobi fractional mechanics

Eqab M. Rabei, Bashar S. Ababneh

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 105 KB

english, 2008

10

Hamilton–Jacobi Quantization of Singular Lagrangians with Linear Velocities

Sami I. Muslih, Hosam A. El-Zalan, Eqab M. Rabei

Journal:

International Journal of Theoretical Physics

Year:

2005

Language:

english

File:

PDF, 77 KB

english, 2005

11

FRACTIONAL TIME ACTION AND PERTURBED GRAVITY

SADALLAH, MADHAT, MUSLIH, SAMI I., BALEANU, DUMITRU, RABEI, EQAB

Journal:

Year:

2011

Language:

english

File:

PDF, 137 KB

english, 2011

12

Quantization of constrained systems using the WKB approximation

Rabei, Eqab M., Nawafleh, Khaled I., Ghassib, Humam B.

Journal:

Physical Review A

Year:

2002

Language:

english

File:

PDF, 60 KB

english, 2002

13

Hamilton Formulation for Continuous Systems with Second Order Derivatives

Hosam A. El-Zalan, Sami I. Muslih, Eqab M. Rabei, Dumitru Baleanu

Journal:

International Journal of Theoretical Physics

Year:

2008

Language:

english

File:

PDF, 224 KB

english, 2008

14

The Quantization of Higher Order Regular Lagrangians as First Order Singular Lagrangians

Eqab M. Rabei, Mo’az. M. Tarawneh

Journal:

International Journal of Theoretical Physics

Year:

2007

Language:

english

File:

PDF, 175 KB

english, 2007

15

Gravitational potential in fractional space

Sami I. Muslih, Dumitru Baleanu, Eqab M. Rabei

Journal:

Central European Journal of Physics

Year:

2007

Language:

english

File:

PDF, 175 KB

english, 2007

16

Quantization of the damped harmonic oscillator

Serhan, M., Abusini, M., Al-Jamel, Ahmed, El-Nasser, H., Rabei, Eqab M.

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 1.07 MB

english, 2018

17

Fractional Hamilton’s equations of motion in fractional time

Sami I. Muslih, Dumitru Baleanu, Eqab M. Rabei

Journal:

Central European Journal of Physics

Year:

2007

Language:

english

File:

PDF, 160 KB

english, 2007

18

Quantization of Higher-Order Constrained Lagrangian Systems Using the WKB Approximation

Eyad H. Hasan, Eqab M. Rabei, Humam B. Ghassib

Journal:

International Journal of Theoretical Physics

Year:

2004

Language:

english

File:

PDF, 96 KB

english, 2004

19

Some exactly solvable $$\mathcal {PT}$$ PT -invariant potentials with real spectra via the (extended) Nikiforov–Uvarov method

Abusini, M, Serhan, M, Al-Jamal, Mohammad F, Al-Jamel, Ahmed, Rabei, Eqab M

Journal:

Year:

2019

File:

PDF, 257 KB

2019

20

On fractional Euler–Lagrange and Hamilton equations and

Dumitru Baleanu, Sami I. Muslih, Eqab M. Rabei

Journal:

Nonlinear Dynamics

Year:

2008

Language:

english

File:

PDF, 262 KB

english, 2008

21

QUANTIZATION OF MECHANICAL SYSTEMS WITH FRACTIONAL DERIVATIVES

MUSLIH, SAMI I., RABEI, EQAB M.

Journal:

Modern Physics Letters A

Year:

2005

Language:

english

File:

PDF, 115 KB

english, 2005

22

Some exactly solvable $$\mathcal {PT}$$ PT -invariant potentials with real spectra via the (extended) Nikiforov–Uvarov method

Abusini, M, Serhan, M, Al-Jamal, Mohammad F, Al-Jamel, Ahmed, Rabei, Eqab M

Journal:

Year:

2019

Language:

english

File:

PDF, 257 KB

english, 2019

23

The Hamilton formalism with fractional derivatives

Eqab M. Rabei, Khaled I. Nawafleh, Raed S. Hijjawi, Sami I. Muslih, Dumitru Baleanu

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 103 KB

english, 2007

24

Hamilton–Jacobi Formulation for Systems in Terms of

Eqab M. Rabei, Ibrahim M. Rawashdeh, Sami Muslih, Dumitru Baleanu

Journal:

International Journal of Theoretical Physics

Year:

2011

Language:

english

File:

PDF, 292 KB

english, 2011

25

[ASME ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - San Diego, California, USA (August 30–September 2, 2009)] Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C - Fractional Mechanics on the Extended Phase Space

Baleanu, Dumitru, Muslih, Sami I., Golmankhaneh, Alireza K., Golmankhaneh, Ali K., Rabei, Eqab M.

Year:

2009

Language:

english

File:

PDF, 54 KB

english, 2009

26

Comment on “Maxwell's equations and electromagnetic Lagrangian density in fractional form” [J. Math. Phys. 53, 033505 (2012)]

Rabei, Eqab M., Al-Jamel, A., Widyan, H., Baleanu, D.

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 286 KB

english, 2014

27

QUANTIZATION OF SECOND-ORDER CONSTRAINED LAGRANGIAN SYSTEMS USING THE WKB APPROXIMATION

RABEI, EQAB M., HASSAN, EYAD H., GHASSIB, HUMAM B., MUSLIH, S.

Journal:

International Journal of Geometric Methods in Modern Physics

Year:

2005

Language:

english

File:

PDF, 220 KB

english, 2005

28

Hamilton–Jacobi Treatment of Constrained Systems with Second-Order Lagrangians

Eqab M. Rabei, Eyad H. Hasan, Humam B. Ghassib

Journal:

International Journal of Theoretical Physics

Year:

2004

Language:

english

File:

PDF, 121 KB

english, 2004

29

On Fractional Dynamics on the Extended Phase Space

Baleanu, Dumitru, Muslih, Sami I., Rabei, Eqab M., Golmankhaneh, Alireza K., Golmankhaneh, Ali K.

Journal:

Journal of Computational and Nonlinear Dynamics

Year:

2010

Language:

english

File:

PDF, 86 KB

english, 2010

30

POTENTIALS OF ARBITRARY FORCES WITH FRACTIONAL DERIVATIVES

RABEI, EQAB M., ALHALHOLY, TAREQ S., ROUSAN, AKRAM

Journal:

International Journal of Modern Physics A

Year:

2004

Language:

english

File:

PDF, 144 KB

english, 2004

31

Hamilton–Jacobi Treatment of Lagrangians with Linear Velocities

Rabei, Eqab M., Nawafleh, Khaled I., Abdelrahman, Yacoub S., Omari, H. Y. Rashed

Journal:

Modern Physics Letters A

Year:

2003

Language:

english

File:

PDF, 106 KB

english, 2003

32

PATH INTEGRAL QUANTIZATION OF BROWNIAN MOTION AS MECHANICAL SYSTEMS WITH FRACTIONAL DERIVATIVES

Muslih, Sami I., Rabei, Eqab M., Baleanu, Dumitru

Journal:

IFAC Proceedings Volumes

Year:

2006

Language:

english

File:

PDF, 296 KB

english, 2006

33

Quantization of Holonomic Systems Using WKB Approximation

M. Serhan, M. Abusini, Eqab M. Rabei

Journal:

International Journal of Theoretical Physics

Year:

2009

Language:

english

File:

PDF, 235 KB

english, 2009

34

HAMILTON–JACOBI TREATMENT OF CONSTRAINED SYSTEMS

NAWAFLEH, KHALED I., RABEI, EQAB M., GHASSIB, HUMAM B.

Journal:

International Journal of Modern Physics A

Year:

2004

Language:

english

File:

PDF, 127 KB

english, 2004

35

Hamilton–Jacobi and fractional like action with time scaling

Mohamed A. E. Herzallah, Sami I. Muslih, Dumitru Baleanu, Eqab M. Rabei

Journal:

Nonlinear Dynamics

Year:

2011

Language:

english

File:

PDF, 279 KB

english, 2011

36

Fractional WKB approximation

Eqab M. Rabei, Ibrahim M. A. Altarazi, Sami I. Muslih, Dumitru Baleanu

Journal:

Nonlinear Dynamics

Year:

2009

Language:

english

File:

PDF, 233 KB

english, 2009

37

Response to “Comment on ‘Quantization of the damped harmonic oscillator’” [J. Math. Phys. 60, 094101 (2019)]

Serhan, M., Abusini, M., Al-Jamel, Ahmed, El-Nasser, H., Rabei, Eqab M.

Journal:

Journal of Mathematical Physics

Year:

2019

File:

PDF, 1.15 MB

2019

38

Hamilton Jacobi Partial Differential Equations of Singular Systems

Journal:

Journal of the Physical Society of Japan

Year:

1997

File:

PDF, 417 KB

1997

39

Response to “Comment on ‘Quantization of the damped harmonic oscillator’” [J. Math. Phys. 60, 094101 (2019)]

Serhan, M., Abusini, M., Al-Jamel, Ahmed, El-Nasser, H., Rabei, Eqab M.

Journal:

Journal of Mathematical Physics

Year:

2019

Language:

english

File:

PDF, 1.15 MB

english, 2019

40

Hamiltonian formulation of classical fields within Riemann–Liouville fractional derivatives

Muslih, Sami I, Baleanu, Dumitru, Rabei, Eqab

Journal:

Physica Scripta

Year:

2006

Language:

english

File:

PDF, 600 KB

english, 2006

41

Quantization of fractional systems using WKB approximation

Eqab M. Rabei, Sami I. Muslih, Dumitru Baleanu

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2010

Language:

english

File:

PDF, 165 KB

english, 2010

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