Browsing by Author "Golmankhaneh, Ali K."

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Citation Count: Golmankhaneh, A.K...et al. (2015). About schrodinger equation on fractals curves imbedding in R (3). International Journal of Theoretical Physics, 54(4), 1275-1282. http://dx.doi.org/10.1007/s10773-014-2325-0
About schrodinger equation on fractals curves imbedding in R (3)
(Springer/Plenum Publishers, 2015) Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru
In this paper we introduced the quantum mechanics on fractal time-space. In a suggested formalism the time and space vary on Cantor-set and Von-Koch curve, respectively. Using Feynman path method in quantum mechanics and F (alpha) -calculus we find SchrA << dinger equation on on fractal time-space. The Hamiltonian and momentum fractal operator has been indicated. More, the continuity equation and the probability density is given in view of F (alpha) -calculus.
Citation Count: Baleanu, D...et al. (2009). Fractional Electromagnetic Equations Using Fractional Forms, 48(1), 3114-3123. http://dx.doi.org/10.1007/s10773-009-0109-8
Fractional Electromagnetic Equations Using Fractional Forms
(Springer/Plenum Publishers, 2009) Baleanu, Dumitru; Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Baleanu, Mihaela Cristina
The generalized physics laws involving fractional derivatives give new models and conceptions that can be used in complex systems having memory effects. Using the fractional differential forms, the classical electromagnetic equations involving the fractional derivatives have been worked out. The fractional conservation law for the electric charge and the wave equations were derived by using this method. In addition, the fractional vector and scalar potentials and the fractional Poynting theorem have been derived
Citation Count: Baleanu, Dumitru...et.al. (2010). "Fractional mechanics on the extended phase space", Proceedings Of Asme International Design Engineering Technical Conferences And Computers And İnformation İn Engineering Conference, Vol 4, Pts A-C, pp.1025-1030.
Fractional mechanics on the extended phase space
(Amer Soc Mechanical Engineers, 2010) Baleanu, Dumitru; Muslih, Sami I.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Rabei, Eqab M.; 56389
Fractional calculus has gained a lot of importance and potential applications in several areas of science and engineering. The fractional dynamics and the fractional variational principles started to be used intensively as an alternative tool in order to describe the physical complex phenomena. In this paper we have discussed the fractional extension of the classical dynamics. The fractional Hamiltonian is constructed and the fractional generalized Poisson's brackets on the extended phase space is established.
Citation Count: Baleanu, D...et al. (2010). Fractional Newtonian mechanics. Central European Journal Of Physics, 8(1), 120-125. http://dx.doi.org/10.2478/s11534-009-0085-x
Fractional Newtonian mechanics
(Versita, 2010) Baleanu, Dumitru; Golmankhaneh, Alireza K.; Nigmatullin, Raoul R.; Golmankhaneh, Ali K.
In the present paper, we have introduced the generalized Newtonian law and fractional Langevin equation. We have derived potentials corresponding to different kinds of forces involving both the right and the left fractional derivatives. Illustrative examples have worked out to explain the formalism
Citation Count: Golmankhaneh, A.K...et al. (2011). Fractional odd-dimensional mechanics. Advance in Difference Equations. http://dx.doi.org/10.1155/2011/526472
Fractional odd-dimensional mechanics
(Springer International Publishing, 2011) Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Baleanu, Dumitru; Baleanu, Mihaela Cristina
The classical Nambu mechanics is generalized to involve fractional derivatives using two different methods. The first method is based on the definition of fractional exterior derivative and the second one is based on extending the standard velocities to the fractional ones. Fractional Nambu mechanics may be used for nonintegrable systems with memory. Further, Lagrangian which is generate fractional Nambu equations is defined
Citation Count: Ashrafi, Saleh; Golmankhaneh, Ali Khalili; Baleanu, Dumitru, "Generalized master equation, Bohr's model, and multipoles on fractals", Romanian Reports In Physics, Vol.69, No.4, (2017).
Generalized master equation, Bohr's model, and multipoles on fractals
(Editura Academiei Romane, 2017) Ashrafi, Saleh; Golmankhaneh, Ali K.; Baleanu, Dumitru; 56389
In this manuscript, we extend the F-alpha-calculus by suggesting theorems analogous to the Green's and the Stokes' ones. Utilizing the F-alpha-calculus, the classical multipole moments are generalized to fractal distributions. In addition, the generalized model for the Bohr's energy loss involving heavy charged particles is given.
Citation Count: Golmankhaneh, A.K...et al. (2010). Hamiltonian structure of fractional first order lagrangian. International Journal of Theoretical Physics, 49(2), 365-375. http://dx.doi.org/10.1007/s10773-009-0209-5
Hamiltonian structure of fractional first order lagrangian
(Springer/Plenum Publishers, 2010) Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Baleanu, Dumitru; Baleanu, Mihaela Cristina
In this paper, we show that the fractional constraint Hamiltonian formulation, using Dirac brackets, leads to the same equations as those obtained from fractional Euler-Lagrange equations. Furthermore, the fractional Faddeev-Jackiw formalism was constructed
Citation Count: Baleanu, D...et al. (2010). Newtonian law with memory. Nonlinear Dynamics, 60(1-2), 81-86. http://dx.doi.org/10.1007/s11071-009-9581-1
Newtonian law with memory
(Springer, 2010) Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Nigmatullin, Raoul R.
In this study we analyzed the Newtonian equation with memory. One physical model possessing memory effect is analyzed in detail. The fractional generalization of this model is investigated and the exact solutions within Caputo and Riemann-Liouville fractional derivatives are reported
Citation Count: Baleanu, D., Golmankhaneh, A.k., Golmankhaneh, A.K. (2010). On electromagnetic field in fractional space. Nonlinear Analysis-Real Wold Applications, 11(1), 288-292. http://dx.doi.org/10.1016/j.nonrwa.2008.10.058
On electromagnetic field in fractional space
(Pergamon-Elsevier Science Ltd, 2010) Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.
Laplacian equation in fractional space describes complex phenomena of physics. With this view, potential of charge distribution in fractional space is derived using Gegenbauer polynomials. Multipoles and magnetic field of charges in fractional space have been obtained
Citation Count: Baleanu, D...et al. (2010). On fractional dynamics on the extended phase space. Journal of Computational and Nonlinear Dynamics, 5(4). http://dx.doi.org/10.1115/1.4002091
On fractional dynamics on the extended phase space
(Asme-Amer Soc Mechanical Engineering, 2010) Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.
Fractional calculus should be applied to various dynamical systems in order to be validated in practice. On this line of taught, the fractional extension of the classical dynamics is introduced. The fractional Hamiltonian on the extended phase space is analyzed and the corresponding generalized Poisson's brackets are constructed
Citation Count: Baleanu, D...et al. (2011). On fractional Hamiltonian systems possessing first-class constraints within Caputo derivatives. Romanian Reports in Physics, 63(1), 1-3.
On fractional Hamiltonian systems possessing first-class constraints within Caputo derivatives
(Editura Acad Romane, 2011) Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.
The fractional constrained systems possessing only first class constraints are analyzed within Caputo fractional derivatives. It was proved that the fractional Hamilton-Jacobi like equations appear naturally in the process of finding the full canonical transformations. An illustrative example is analyzed
Citation Count: Golmankhaneh, A.K., Golmankhaneh, A.K., Baleanu, D. (2011). On nonlinear fractional Klein-Gordon equation. Signal Processing, 91(3), 446-451. http://dx.doi.org/10.1016/j.sigpro.2010.04.016
On nonlinear fractional Klein-Gordon equation
(Elsevier Science Bv, 2011) Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru
Numerical methods are used to find exact solution for the nonlinear differential equations. In the last decades Iterative methods have been used for solving fractional differential equations. In this paper, the Homotopy perturbation method has been successively applied for finding approximate analytical solutions of the fractional nonlinear Klein-Cordon equation can be used as numerical algorithm. The behavior of solutions and the effects of different values of fractional order a are shown graphically. Some examples are given to show ability of the method for solving the fractional nonlinear equation
Citation Count: Golmankhaneh, A.K., Golmankhaneh, Ali K., Baleanu, D. (2011). On nonlinear fractional Klein-Gordon equation. Signal Processing, 91(3), 446-451. http://dx.doi.org/10.1016/j.sigpro.2010.04.016
On nonlinear fractional Klein-Gordon equation
(Elsevier Science Bv, 2011) Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru
Numerical methods are used to find exact solution for the nonlinear differential equations. In the last decades Iterative methods have been used for solving fractional differential equations. In this paper, the Homotopy perturbation method has been successively applied for finding approximate analytical solutions of the fractional nonlinear Klein-Cordon equation can be used as numerical algorithm. The behavior of solutions and the effects of different values of fractional order a are shown graphically. Some examples are given to show ability of the method for solving the fractional nonlinear equation
Citation Count: Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K., "Solving of the fractional non-linear and linear schrodinger equations by homotopy perturbation method", Romanian Journal Of Physics, Vol.54, No.9-10, pp.823-832, (2009).
Solving of the fractional non-linear and linear schrodinger equations by homotopy perturbation method
(Editura Academiei Romane, 2009) Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru; 56389
In this paper, the homotopy perturbation method is applied to obtain approximate analytical solutions of the fractional non-linear Schrodinger equations. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. We illustrated the ability of the method for solving fractional non linear equation by some examples.
Citation Count: Golmankhaneh, A.K...et al. (2012). Structure of magnetic field lines. Communications In Nonlinear Science And Numerical Simulation, 17(2), 713-720. http://dx.doi.org/ 10.1016/j.cnsns.2011.03.042
Structure of magnetic field lines
(Elsevier Science BV, 2012) Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Jazayeri, Seyed Masud; Baleanu, Dumitru
In this paper the Hamiltonian structure of magnetic lines is studied in many ways. First it is used vector analysis for defining the Poisson bracket and Casimir variable for this system. Second it is derived Pfaffian equations for magnetic field lines. Third, Lie derivative and derivative of Poisson bracket is used to show structure of this system. Finally, it is shown Nambu structure of the magnetic field lines
Citation Count: Baleanu, Dumitru...et al. (2009). "The dual action of fractional multi time Hamilton equations", International Journal Of Theoretical Physics, Vol.48, No.9, pp.2558-2569.
The dual action of fractional multi time Hamilton equations
(Springer/Plenum Publishers, 2009) Baleanu, Dumitru; Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; 56389
The fractional multi time Lagrangian equations has been derived for dynamical systems within Riemann-Liouville derivatives. The fractional multi time Hamiltonian is introduced as Legendre transformation of multi time Lagrangian. The corresponding fractional Euler-Lagrange and the Hamilton equations are obtained and the fractional multi time constant of motion are discussed.