Browsing by Author "Golmankhaneh, Ali Khalili"

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Citation Count: Ashrafi, Saleh; Golmankhaneh, Ali Khalili; Baleanu, Dumitru (2017). "Generalized master equation, bohr’s model, and multipoles on fractals", Romanian Reports in Physic, Vol. 69, No. 4.
Generalized master equation, bohr’s model, and multipoles on fractals
(2017) Ashrafi, Saleh; Golmankhaneh, Ali Khalili; Baleanu, Dumitru; 56389
In this manuscript, we extend the Fα-calculus by suggesting theorems analogous to the Green’s and the Stokes’ ones. Utilizing the Fα-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. © 2017, Editura Academiei Romane. All Rights Reserved.
Citation Count: Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru, "HOMOTOPY PERTURBATION METHOD FOR SOLVING A SYSTEM OF SCHRODINGER-KORTEWEG-DE VRIES EQUATIONS", Romanian Reports In Physics, Vol. 63, No. 3, pp. 609-623, (2011).
Homotopy Perturbation Method for Solving A System of Schrodinger-Korteweg-De Vries Equations
(Editura Academiei Romane, 2011) Golmankhaneh, Alireza K.; Golmankhaneh, Ali Khalili; Baleanu, Dumitru; 56389
Numerical methods used to find exact solution for the nonlinear differential equations. During the past decades Iterative methods has attracted attention of researcher for solving fractional differential equations. In the present paper, the homotopy perturbation method has been successively used to obtain approximate analytical solutions of the fractional coupled Schrodinger-Korteweg-de Vries and coupled system of diffusion-reaction equation equations. We consider fractional derivative in the Caputo sense. We have illustrated by examples the ability of proposed algorithm for solving fractional system of nonlinear equation.