[PDF] Top 20 Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application

... etc. Fractional diffusion equations have been topic of interest, studied by many researchers for developing fractional order finite difference ...the time- space fractional ... See full document

... of fractional partial differential equations (FPDE's) in finance, physics, image processing and engineering [1, ...solving fractional elliptic partial differential equations and the reveal results was very ... See full document

... approximating solution for it by provide an efficient approach based on measurable ...the fractional derivatives of measurable ...and application of minimization the total error, we transform the ... See full document

... Fokker–Planck equation (FPE), first applied to investigate Brownian motion [5] and the diffusion mode of chemical reactions [17], is now largely employed, in various generalized forms, in physics, ... See full document

... for space fractional order differential equations with inhomogeneous boundary ...the solution to the initial value/boundary value problems for fractional diffusion-wave ...solving ... See full document

... a space-time frac- tional diffusion equation with initial boundary ...unbounded time domain, we use the rational normalized Bernstein functions as basis functions to approximate the ... See full document

... evolution, fractional) differential ...the solution, some properties of the solution can be obtained using the maximum ...and its effective application in in- vestigating ... See full document

... multinomial fractional ordinary differential ...the solution and proposed three numerical solution methods to approximate the equation ...Using fractional derivative model, it ... See full document

... This paper presents a numerical scheme for space fractional diffusion equations (SFDEs) based on pseudo-spectral method. In this approach, using the Guass-Lobatto nodes, the unknown function is ... See full document

... and application of fractional differential equations have attracted the atten- tion of many scholars in the last few ...decades. Fractional order differential equations are generalizations of classical ... See full document

... Optimal control problem is one of the most essential problems in the control theory [1], [2], [3]. However, the solution of an optimal control problem for a linear system is generally based on the maximization or ... See full document

... This research will focus on the algorithm for the methods of variational iteration and Adomian decomposition method. The methods are used to solve fractional diffusion equation. The general ... See full document

... In this paper, the authors have proposed a numerical algorithm based on Legendre polynomials operational matrix to solve a class of two term time fractional convection-diffusion equations with ... See full document

... a time-fractional diffusion equation with variable coefficients in a general bounded ...regularization solution by the Landweber iterative regularization ...regularization solution and ... See full document

... of fractional master equation defined by (2.1) and fractional diffusion equation defined by ...the solution is that of Laplace and Fourier ... See full document

... symmetric space-fractional diffusion equation in which the space fractional derivatives are defined in Riesz potential ...the diffusion equation, a fully discrete ... See full document

... tive solution are ...an application, we utilize the obtained results to study the existence and uniqueness of positive solutions for nonlinear fractional differential equation boundary value ... See full document

... method is an extension of the (G /G)-expansion method. The applications of these so- lutions have been found in many physical phenomena such as optical fibers and nuclear physics. All of our results obtained by the two ... See full document

... of fractional calculus and the standard VIM, ...the application of VIM to evaluate solutions of the time and space-time fractional Burgers’ equation, ... See full document

... In this regard, our method is closer to that introduced by Malaspinas et al. (2012) that also uses a grid of discretized allele frequencies. In contrast to our method, however, their approach approximates the mean and ... See full document