Space-Time Fractional Diffusion Equation
The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation
... the time fractional part, the diffusion equation will be system of space fractional ordinary differential equations formula (17), the second step is using the shifted Chebyshev ...
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Normalized Bernstein polynomials in solving space time fractional diffusion equation
... 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 exact ...
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Research on generalized space time fractional convection diffusion equation
... of fractional differential equation, the paper extends the space-time fractional convection-diffusion ...order fractional derivative instead of the space first ...
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On a Fractional Master Equation and a Fractional Diffusion Equation
... and fractional master equation by obtaining the corresponding waiting time density in terms of generalized Mittag-Leffler function ...master equation is derived by them in Fourier ...
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Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
... of time-fractional diffusion equations has drawn attention from var- ious disciplines of science and engineering, such as mechanical engineering [, ], vis- coelasticity [], Lévy motion [], electron ...
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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] ...
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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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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 ...
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Numerical Method For Variable-order Space Fractional Diffusion Equation and Applications
... Marchaud fractional integration and differentiation of the case of variable order, and then showed some properties and an inversion ...the fractional derivative as the starting point to suggest a novel ...
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A space time spectral method for the time fractional diffusion optimal control problems
... the fractional diffusion ...the space-time fractional Burger’s ...the fractional pan- tograph equation with variable coefficients on a semi-infinite ...of fractional ...
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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 ...
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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 ...general fractional advection diffusion equation, it is hard to get the accurate ...
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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 ...
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Study of Solutions of a Nonlinear Fractional Partial Differential Equation
... of fractional order of type like one-dimensional time-fractional diffusion-wave equation were successfully used for modelling relevant physical processes (see, for example, Caputo [2], Giona ...
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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 ...of fractional advections dif- fusion equation were considered ...for ...
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Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
... coordinate. Equation (2) also uses Riemann fractional derivatives of order and ...tional diffusion Equations (1) and ...of fractional differential equation has been obtained through ...
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Representing of Problem, Solution and Implementation Spaces with Interrelated Attributes for Developing Knowledge Management Base in Computational Chemistry Area
... Such fractional order models provide an improved description of observed bio electrode behaviour, but recent experimental studies of cardiac tissue suggest that additional mathematical tools may be needed to ...
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Instant Diffusion Equation of Price Changing and Time Space Exchanging Description
... heat diffusion equation, an instant diffusion equation of price changing is obtained and explained by “time-space exchange” via Newton’s second law, in which the partial ...
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Numerical algorithms for the time space tempered fractional Fokker Planck equation
... Riesz fractional derivative. At first, the Riesz fractional derivative was generally approached by the Grünwald-Letnikov derivative ap- proximation with the first order of accuracy ...lines, fractional ...
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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 ...
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