Fractional Diffusion Equation
On a Fractional Master Equation and a Fractional Diffusion Equation
... Abstract In this paper , we derive the solutions of fractional master equation defined by (2.1) and fractional diffusion equation defined by (3.3). The method followed in deriving the ...
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Numerical Method For Variable-order Space Fractional Diffusion Equation and Applications
... The purpose of this paper is to develop the explicit fractional order finite difference scheme for variable- order space fractional diffusion equation (VOSFDE). Furthermore, the stability and ...
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The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation
... 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 Chebyshev polynomial will be ...
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Application of Adomian’s Decomposition 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) > ...this fractional diffusion equation has a unique and suffi- ...
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Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
... Fractional diffusion equations are used to model prob- lems in Physics [1-3], Finance [4-7], and Hydrology ...[8-12]. Fractional space derivatives may be used to for- mulate anomalous dispersion ...
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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 ...
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Solution of a modified fractional diffusion equation
... tracking experiments and photo-bleaching recovery experiments have revealed sub-diffusion (0 < γ < 1) of proteins and lipids in a variety of cell membranes [2–8]. Anomalous subdiffusion has also been ...
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Solving fractional diffusion equation using variational iteration method and adomian decomposition method
... 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 ...
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Existence results for a generalization of the time-fractional diffusion equation with variable coefficients
... a contractible mapping to show the existence of solution of the semilinear problem in a suitable fractional derivative Sobolev space. The main idea is motivated in the proof of [32, 33]. The existence of solutions ...
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Finite difference scheme for multi term variable order fractional diffusion equation
... In this paper, a finite difference scheme has been proposed to solve a multi-term time- space variable-order fractional diffusion equation. The stability and convergence have been analyzed by the mathematical ...
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The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation
... decades fractional order partial differential equations began to play a key role especially in the study and modeling of anomalies and complex systems [, – ...of fractional diffu- sion models have been ...
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On a novel modification of the Legendre collocation method for solving fractional diffusion equation
... The fractional partial differential equations (FPDEs) are used in numerous prob- lems of physics, engineering, chemistry, mathematics, biology, and viscoelasticity [1, 15, 19, ...Most fractional ...
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Maximum principle and its application to multi-index Hadamard fractional diffusion equation
... Hadamard fractional diffusion ...Hadamard fractional diffusion equation possesses at most one classical solution and that the solution depends continuously on its initial boundary value ...
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Normalized Bernstein polynomials in solving space time fractional diffusion equation
... this equation u(x, t) is the unknown function, s(x, t) is called the source-term and d(x, t) and b(x, t) are the diffusion and advection coefficients, < α ≤ and < γ ≤ are the orders of space ...
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Sturm Liouville problem and numerical method of fractional diffusion equation on fractals
... the maximum error for the numerical solution is more sensitive to the spectral dimension in comparison with the anomalous diffusion exponent. The physical meaning is that the diffusion processes on fractals depend more on ...
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New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
... solve fractional differential equations have been given such as variational iteration method [7], homotopy perturbation method [8], adomian decomposition method [9], homotopy analysis method [10], and collocation ...
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Pseudo Spectral Method for Space Fractional Diffusion Equation
... for fractional differential equation ...the fractional de- rivative and integral, and studied the numerical solution of differential equations by the spectral ...
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Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay
... of fractional differential equations ...time fractional advection-diffusion equation with distributed order and by Dehghan et ...time fractional Sine-Gordon and Klein-Gordon ...
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Abstract Fractional sine transform and Laplace transform are used for solving the Stokes` first problem with
... of fractional of fractional partial differential equations of the time fractional advection dispersion equation as in[6,7], fractional diffusion equation as ...
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Online Full Text
... varying diffusion coefficient and of the source term distribution in a one-dimensional nonlinear diffusion ...a fractional order and a space-dependent diffusion coefficient of a ...
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