Search Results

Now showing 1 - 2 of 2

Citation - WoS: 8
Citation - Scopus: 11
Solution of a Fractional Transport Equation by Using the Generalized Quadratic Form
(Elsevier Science Bv, 2011) Baleanu, Dumitru; Kadem, Abdelouahab
In this manuscript the one dimensional fractional transport equation in which the prescribed source and angular flux are spatially quadratic is investigated within the generalized quadratic form method. It is reported that the angular flux satisfies Fick's law and the corresponding scalar flux satisfies the fractional generalization of the classic diffusion equation. (C) 2010 Elsevier B.V. All rights reserved.
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

Matematik Bölümü Yayın Koleksiyonu