[PDF] Top 20 On a Fractional Master Equation and a Fractional Diffusion Equation
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On a Fractional Master Equation and a Fractional Diffusion Equation
... Fractional Master equations are studied in order to explain certain physical phenomena arising in science and ...engineering. Fractional Master equation and fractional random ... See full document
5
Solutions to Time Fractional Diffusion Wave Equation in Cylindrical Coordinates
... 28 R. Gorenflo and F. Mainardi, “Fractional calculus: integral and differential equations of fractional order,” in Fractals and Fractional Calculus in Continuum Mechanics (Udine, 1996), A. Carpinteri ... See full document
14
Modified implicit fractional difference scheme for 2D modified anomalous fractional sub diffusion equation
... sub-diffusion equation with nonlinear source ...Riemann-Liouville fractional derivative and constructed two kinds of novel numer- ical schemes and discussed stability, convergence and solvability by the ... See full document
14
Research on generalized space time fractional convection diffusion equation
... [1]Chen Bingsan, Huang Yijian. Journal of Huaqiao University (Natural Science), 2009, 5 (30), 487-491. [2] Hu Yizheng, Liu Fawang. Journal of Xiam enUniversity ( Natural Science), 2005, 3 (44), 313-317. [3]F.Mainardi, ... See full document
5
Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method
... heat diffusion models involving fractional order derivative in time have been ...The fractional orders considered include the Ca- puto’s and the new fractional conformable ...Caputo’s ... See full document
10
Online Full Text
... space fractional order diffusion ...of fractional order and source term involved in space fractional order diffusion ...space fractional order diffusion ... See full document
12
Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations
... decade, fractional calculus has found applications in numerous seemingly diverse fields of science and ...engineering. Fractional differential equations are increasingly used to model problems in fluid ... See full document
14
The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation
... the fractional time derivative and obtained a fractional boundary value problem along every time ...the fractional boundary value problem is ximated by a truncated shifted ... See full document
7
Normalized Bernstein polynomials in solving space time fractional diffusion equation
... Bernstein polynomials play an important role in many branches of mathematics, such as probability, approximation theory and computer-aided geometric design []. Also, in recent decades, the authors discovered some new ... See full document
25
Sturm Liouville problem and numerical method of fractional diffusion equation on fractals
... for fractional differential equations has been devoted to FPDE’s applications, for instance, the Fourier-Laplace transform [], the Mellin transform [, ], the homotopy perturba- tion method (HPM) [, ], the ... See full document
17
An exponential B spline collocation method for the fractional sub diffusion equation
... In this article, we propose an exponential B-spline approach to obtain approximate solutions for the fractional sub-diffusion equation of Caputo type. The presented method is established via a uniform nodal ... See full document
17
Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... The outline of the present paper is given as follows. Some basic concepts for fractional calculus are mentioned in Section 2. Section 3 comprises of some definitions and properties of Genocchi polynomials and ... See full document
12
Fractional Difference Approximations for Time Fractional Telegraph Equation
... telegraph equation has another name of the transmission line equa- ...such equation can describe the ordinary diffusion phenomena ...abnormal diffusion phenomena during the finite long ... See full document
9
Turing pattern formation with fractional diffusion and fractional reactions
... consider fractional reaction diffusion models for the concentration of species undergoing sub-diffusion and ...standard diffusion with reactions the two effects can be combined additively in a ... See full document
24
Pseudo Spectral Method for Space Fractional Diffusion Equation
... 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 approximated ... See full document
8
Fractional diffusion: biological models and nonlinear problems driven by the s-power of the Laplacian.
... In order to introduce the transport equation we can for instance describe cell movements. In general, this motion is consists in two different phases: speed and rest. After every resting state, the cell enters in ... See full document
98
From Newton's Equation to Fractional Diffusion and Wave Equations
... 2 One of the possible experimental contexts to apply together with the concepts of fractals and fractional calculus is related to the propagation of waves 50–52. In the 19th Century, James Clerk Maxwell and Lord ... See full document
13
Solution of a modified fractional diffusion equation
... and fractional diffusion equations [14]. The fractional diffusion equation is characterised by the presence of either a fractional tem- poral derivative or fractional ... See full document
13
On Approximate Solutions for Time-Fractional Diffusion Equation
... good alternative to solve this type of equations and many other numerical problems. Numerical results strongly suggest that the efficiency of the proposed preconditioning methods. The convergence analysis of the present ... See full document
6
New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
... Fokker-Planck equation into a system of ordinary differential equations suggested in( [15], [16]) ...space fractional diffusion equations are solved numerically ...space fractional ... See full document
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