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Yazar "Golmankhaneh, Alireza K." için Fen - Edebiyat Fakültesi listeleme

Yazar "Golmankhaneh, Alireza K." için Fen - Edebiyat Fakültesi listeleme

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  • Heat and Maxwell’s equations on cantor cubes 
    Golmankhaneh, Alireza K.; Baleanu, Dumitru (2017)
    The fractal physics is an important research domain due to its scaling properties that can be seen everywhere in the nature. In this work, the generalized Maxwell’s equations are given using fractal differential equations ...
  • Homotopy Perturbation Method for Solving A System of Schrodinger-Korteweg-De Vries Equations 
    Golmankhaneh, Alireza K.; Golmankhaneh, Ali Khalili; Baleanu, Dumitru (Editura Academiei Romane, 2011)
    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 ...
  • Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line 
    Golmankhaneh, Alireza K.; Baleanu, Dumitru (2013-11)
    A discontinuous media can be described by fractal dimensions. Fractal objects has special geometric properties, which are discrete and discontinuous structure. A fractal-time diffusion equation is a model for subdiffusive. ...
  • Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets 
    Srivastava, H. M.; Golmankhaneh, Alireza K.; Baleanu, Dumitru; Yang, Xiao-Jun (Hindawi LTD, 2014)
    Local fractional derivatives were investigated intensively during the last few years. The coupling method of Sumudu transform and local fractional calculus (called as the local fractional Sumudu transform) was suggested ...
  • Mean Square Solutions of Second-Order Random Differential Equatıons By Using Homotopy Analysis Method 
    Golmankhaneh, Alireza K.; Porghoveh, Neda A.; Baleanu, Dumitru (Editura Academiei Romane, 2013)
    In this paper, the Homotopy Analysis Method (HAM) is successfully applied for solving second-order random differential equations, homogeneous or inhomogeneous. Expectation and variance of the approximate solutions are ...
  • New derivatives on the fractal subset of real-line 
    Golmankhaneh, Alireza K.; Baleanu, Dumitru (MDPI AG, 2016-02)
    In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta functions were defined on the fractal sets. ...
  • Newtonian law with memory 
    Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Nigmatullin, Raoul R. (Springer, 2010-04)
    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 ...
  • Newtonian mechanics on fractals subset of real-line 
    Golmankhaneh, Alireza K.; Fazlollahi, Vahideh; Baleanu, Dumitru (Editura Acad Romane, 2013)
    In this paper, we have studied the calculus on the fractals, meanwhile Newtonian mechanics on fractals subset of real-line has been suggested. Further, work and energy theorem on fractals with the examples has been explained. ...
  • Non-local integrals and derivatives on fractal sets with applications 
    Golmankhaneh, Alireza K.; Baleanu, Dumitru (De Gruyter Open Ltd., 2016-01)
    In this paper, we discuss non-local derivatives on fractal Cantor sets. The scaling properties are given for both local and non-local fractal derivatives. The local and non-local fractal differential equations are solved ...
  • Numerical Solution of Linear Integral Equations System Using the Bernstein Collocation Method 
    Jafarian, Ahmad; Nia, Safa Measoomy; Golmankhaneh, Alireza K.; Baleanu, Dumitru (Springer International Publishing AG, 2013)
    Since in some application mathematical problems finding the analytical solution is too complicated, in recent years a lot of attention has been devoted by researchers to find the numerical solution of this equations. In ...
  • On a new measure on fractals 
    Golmankhaneh, Alireza K.; Baleanu, Dumitru (2013-11)
    Fractals are sets whose Hausdorff dimension strictly exceeds their topological dimension. The algorithmic Riemannian-like method, Fα-calculus, has been suggested very recently. Henstock-Kurzweil integral is the generalized ...
  • On a one-dimensional nonlinear coupled system of equations in the theory of thermo elasticity 
    Jafarian, A.; Ghaderi, P.; Golmankhaneh, Alireza K.; Baleanu, Dumitru (2013)
    The thermoelasticity deals with predicting the thermo mechanical treatment of elastic solids and it is a generalization of the classical theory of elasticity and the theory of thermal conductivity. In this manuscript, the ...
  • On artificial neural networks approach with new cost functions 
    Jafarian, Ahmad; Nia, Safa Measoomy; Golmankhaneh, Alireza K.; Baleanu, Dumitru (Elsevier Science INC, 2018-12-15)
    In this manuscript, the artificial neural networks approach involving generalized sigmoid function as a cost function, and three-layered feed-forward architecture is considered as an iterative scheme for solving linear ...
  • On Bernstein Polynomials Method to the System of Abel Integral Equations 
    Jafarian, A.; Nia, Safa Measoomy; Golmankhaneh, Alireza K.; Baleanu, Dumitru (Hindawi LTD, 2014)
    This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution ...
  • On electromagnetic field in fractional space 
    Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. (Pergamon-Elsevier Science Ltd, 2010-02)
    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 ...
  • On fractional dynamics on the extended phase space 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. (Asme-Amer Soc Mechanical Engineering, 2010-10)
    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 fractional Hamiltonian systems possessing first-class constraints within Caputo derivatives 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. (Editura Acad Romane, 2011)
    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 ...
  • On Fuzzy Fractional Laplace Transformation 
    Jafarian, Ahmad; Golmankhaneh, Alireza K.; Baleanu, Dumitru (Hindawi LTD, 2014)
    Fuzzy and fractional differential equations are used to model problems with uncertainty and memory. Using the fractional fuzzy Laplace transformation we have solved the fuzzy fractional eigenvalue differential equation. ...
  • On nonlinear fractional Klein-Gordon equation 
    Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru (Elsevier Science Bv, 2011-03)
    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 ...
  • On nonlinear fractional Klein-Gordon equation 
    Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru (Elsevier Science Bv, 2011-03)
    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 ...