[PDF] Top 20 On Approximate Solutions for Time-Fractional Diffusion Equation
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On Approximate Solutions for Time-Fractional Diffusion Equation
... 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
6
Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay
... finding solutions of fractional differential equations ...solving time fractional advection-diffusion equation with distributed order and by Dehghan et ...nonlinear time ... See full document
10
Exact traveling wave solutions of the space–time fractional complex Ginzburg–Landau equation and the space time fractional Phi 4 equation using reliable methods
... years, fractional-order differential equations (FDEs) associated with fractional derivatives such as the Riemann–Liouville derivative [12], the Caputo derivative [12], the Caputo–Fabrizio derivative [13] and ... See full document
23
Differential transform method for conformable fractional partial differential equations
... for fractional derivative in most of which integral forms have been widely ...of fractional derivative called a conformable frac- tional derivative was proposed by Khalil et ...conformable fractional ... See full document
13
Fractional Difference Approximations for Time Fractional Telegraph Equation
... numerical solutions to some kinds of time or space fractional telegraph equations, such as ...The fractional telegraph equation we consider here is different from all of which they ... See full document
9
Generalized Mittag Leffler function method for solving Lorenz system
... In this paper, The Mittag-Leffler function and its generalizations used to obtain a new method for solving system of nonlinear fractional differential equations (Lorenz system). And compared the results with the ... See full document
7
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
Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method
... In this paper, the HAM has been successfully applied to obtain approximate analytical solution of fractional cou- pled mKdV equation. It has been also seen that the HAM solution of the problem ... See full document
5
ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION
... the approximate solutions of fractional fuzzy differential equations, with fractional derivative of order 0 < β ≤ 1, are constructed, by using fuzzy Laplace ...corresponding ... See full document
6
Formulation of photon diffusion from spherical bioluminescent sources in an infinite homogeneous medium
... the diffusion approximation is sufficiently accurate to predict the imaging signal around the biological ...numerical solutions to the diffusion equation take large amounts of computational ... See full document
6
Existence results for a generalization of the time-fractional diffusion equation with variable coefficients
... Erdélyi–Kober fractional integral to express the hyper-Bessel operator and es- tablished the series solution by considering both direct and inverse source problem in a rectangular ...integral equation of ... See full document
11
Solution of a modified fractional diffusion equation
... Continuous Time Random Walks (CTRW), Monte Carlo simulations [11], Langevin equations and fractional diffusion equations ...The fractional diffusion equation is characterised by ... See full document
13
Approximate solutions of a sum type fractional integro differential equation by using Chebyshev and Legendre polynomials
... numerical solutions of the Chebyshev and Legendre methods by x ˜ and x, ...the approximate solutions obtained by Chebyshev and Legendre methods is ... See full document
18
Approximate controllability of fractional partial differential equation
... of fractional dif- ferential equations in the analytic and numerical sense ...mild solutions, controllabil- ity problems for various types of nonlinear fractional dynamical systems have also been ... See full document
10
The Dirichlet problem for the time-fractional advection-diffusion equation in a line segment
... the fractional advection diffusion equation as well as of the numerical methods used for its solving can be found in ...analytical solutions of fractional advections dif- fusion equation ... See full document
8
Normalized Bernstein polynomials in solving space time fractional diffusion equation
... a time-space fractional diffusion ...the time domain, which is a semi-infinite domain, we offer an algebraic map to make the rational normalized Bernstein ... See full document
25
Study of Solutions of a Nonlinear Fractional Partial Differential Equation
... this equation has been discussed by Buckwar and Luchko ...one-dimensional time-fractional diffusion- wave equation (with the fractional derivative in the Riemann-Liouville sense) and for ... See full document
5
On a Fractional Master Equation and a Fractional Diffusion Equation
... at time t if it was at the origin r=0 at time ...the fractional transition rate which measures the propensity for a displacemenr ...Riemann-Liouville fractional derivative of order α defined ... See full document
5
Difference numerical solutions for time-space fractional advection diffusion equation
... A time-space fractional advection diffusion equation is studied in this paper. Based on the difference method, an explicit difference scheme and an implicit difference scheme are obtained. Then we prove ... See full document
11
Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter
... with fractional derivatives have a wide range of applications as mathematical models of physical ...19]. Fractional differential equations have gained much attention since fractional order system ... See full document
8
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