Hossein Jafari
University of Mazandaran, Mathematics, Faculty Member
The Fourier law of one-dimensional heat conduction equation in fractal media is investigated in this paper. An approximate solution to one-dimensional local fractional Volterra integral equation of the second kind, which is derived from... more
The Fourier law of one-dimensional heat conduction equation in fractal media is investigated in this paper. An approximate solution to one-dimensional local fractional Volterra integral equation of the second kind, which is derived from the transformation of Fourier flux equation in discontinuous media, is considered. The Picard successive approximation method is applied to solve the temperature field based on the given Mittag-Leffler-type Fourier flux distribution in fractal media. The nondifferential approximate solutions are given to show the efficiency of the present method.
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The one-dimensional heat equations with the heat generation arising in fractal transient conduction associated with local fractional derivative operators are investigated. Analytical solutions are obtained by using the local fractional... more
The one-dimensional heat equations with the heat generation arising in fractal transient conduction associated with local fractional derivative operators are investigated. Analytical solutions are obtained by using the local fractional Adomian decomposition method via local fractional calculus theory. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.
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In this paper, the two-dimensional heat conduction equations with local fractional derivative operators are investigated. Analytical solutions are obtained by using the local fractional Adomian decomposition method (LFADM). The results... more
In this paper, the two-dimensional heat conduction equations with local fractional derivative operators are investigated. Analytical solutions are obtained by using the local fractional Adomian decomposition method (LFADM). The results obtained show that the numerical method based on the proposed technique gives us the exact solution Illustrative examples are included to demonstrate the validity and applicability of the new technique.
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Abstract A number of problems in science and engineering are modeled in terms of a system of ordinary differential equations. In this paper, an algorithm for solving a system of linear ordinary differential equations (ODE) has been... more
Abstract A number of problems in science and engineering are modeled in terms of a system of ordinary differential equations. In this paper, an algorithm for solving a system of linear ordinary differential equations (ODE) has been presented, which converts a system of ...
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In this paper, the local fractional Laplace decomposition method is implemented to obtain approximate analytical solution of the telegraph and Laplace equations on Cantor sets. This method is a combination of the Yang-Laplace transformand... more
In this paper, the local fractional Laplace decomposition method is implemented to obtain approximate analytical
solution of the telegraph and Laplace equations on Cantor sets. This method is a combination of the Yang-Laplace transformand the Adomian decomposition method. Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives.
solution of the telegraph and Laplace equations on Cantor sets. This method is a combination of the Yang-Laplace transformand the Adomian decomposition method. Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives.
Research Interests:
Research Interests:
ABSTRACT The local fractional Laplace variational iteration method was applied to solve the linear local fractional partial differential equations. The local fractional Laplace variational iteration method is coupled by the local... more
ABSTRACT The local fractional Laplace variational iteration method was applied to solve the linear local fractional partial differential equations. The local fractional Laplace variational iteration method is coupled by the local fractional variational iteration method and Laplace transform. The nondifferentiable approximate solutions are obtained and their graphs are also shown.