[PDF] Top 20 On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation
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On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation
... particular cases of the fundamental solution G α,β,n in terms of the Wright type functions. Discussion 325[r] ... See full document
15
From Newton's Equation to Fractional Diffusion and Wave Equations
... and fractional calculus is related to the propagation of waves ...specific properties of scattering, and so forth. In this context, the fundamental issue of special technological impact is the ... See full document
13
Normalized Bernstein polynomials in solving space time fractional diffusion equation
... discovered some new analytic properties and some applica- tions for these ...of fractional-order differential equations with estimation error by using fractional Bernstein ... See full document
25
Maximum principle and its application to multi-index Hadamard fractional diffusion equation
... evolution, fractional) differential ...the solution, some properties of the solution can be obtained using the maximum ...vestigating fractional differential equations have ... See full document
8
Exact traveling wave solutions of the space–time fractional complex Ginzburg–Landau equation and the space time fractional Phi 4 equation using reliable methods
... conformable space-time fractional order partial differential ...the fractional (2 + 1)-dimensional cubic–quintic Ginzburg–Landau equation which will be solved using the modified ... See full document
23
Solutions to Time Fractional Diffusion Wave Equation in Cylindrical Coordinates
... The two-dimensional Dirac delta function δx δy after passing to the polar coordinates takes the form 1/2πrδ r , but for the sake of simplicity, we have omitted the multiplier 2π in the solution 2.5 as well ... See full document
14
Difference numerical solutions for time-space fractional advection diffusion equation
... The fractional order convection diffusion equations are the generalization of the in- tegral order convection diffusion ...of some anomalous diffusion. For general fractional advection diffusion ... See full document
11
Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... same time. In short, this paper comprises the use of two-dimensional Genocchi polynomials along with the Ritz–Galerkin method and a satisfier function to provide the approximate solutions of FKGE and ...our ... See full document
12
Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application
... scenario fractional calculus plays an important role in the various fields of scientific and engineering ...problems. Fractional calculus is a field of mathematical study that grows out of the traditional ... See full document
6
Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method
... either time or space variables or ...a time to solve many models including both the analytical and numerical methods such that the novel series method for heat equation with non-integer order ... See full document
10
Some New Exact Traveling Wave Solutions for the Generalized Benney Luke (GBL) Equation with Any Order
... solutions. These solutions may be useful for describing certain nonlinear physical phenomena of Equation (1.1). The method which we have propose in this paper is standard, direct and computerized method ,which ... See full document
6
Blow up solutions to the Cauchy problem of a fractional reaction diffusion system
... the solution []. This means that, for some reaction- diffusion equations, the blow-up of solutions may occur, though the corresponding or- dinary differential equation (ODE) possesses a global ... See full document
18
A new approach to solve the time dependent three dimensional advection diffusion equation applied to model air pollution dispersion in the planetary boundary layer
... the solution of GILTT(x,z), briefly speaking, comprehends the steps: expansion of the concentration in series of eigenfunctions attained from an auxiliary problem, replacing this equation in the ... See full document
9
High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation
... To show the effectiveness of the proposed methods, we solved the two-dimensional time fractional cable equations with the help of PC with Core i7 Duo 3.40 GHz, 4GB of RAM with Window 7 operating ... See full document
8
Abstract Fractional sine transform and Laplace transform are used for solving the Stokes` first problem with
... presented some results about Stokes` first problem. Exact solution of this equation is obtained by using the Fourier sine integral transform and integral Laplace ...Caputo fractional ... See full document
6
The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation
... for Space-Time fractional diffusion equation is considered, the direct way will be used for approximating Time fractional and the expiation of shifted first kind of ... See full document
7
Alternating direction implicit finite difference methods for a new two dimensional two sided space fractional diffusion equation
... In this paper, we use the backward Euler scheme for the first-order time derivative. We use the shifted left Grünwald formulae and the standard right Grünwald formulae to ap- proximate the left and right ... See full document
17
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
... been successfully applied to find the solution of space fractional diffusion equation. All cases show that the results of the ADM method are very good and the ob- tained solutions are ... See full document
6
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
... with fractional orders 1 < 2 and 1 < 2 , where the diffusion coefficients d x y , 0 and e x y , 0 ...this fractional diffusion equation has a unique and ... See full document
5
SOLUTION OF SPACE -TIME FRACTIONAL FOKKER PLANCK EQUATION BY HOMOTOPY ANALYSIS METHOD
... nonlinear space-time fractional Fokker–Planck equations ...the fractional derivatives are described in the Caputo sense. Solution of some particular linear and nonlinear ... See full document
12
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