[PDF] Top 20 Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model
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Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model
... complete Cattaneo-Hristov diffusion equation ...with Cattaneo-Hristov model of ...the fractional diffusion equations in one and two-dimensional spaces ... See full document
17
Analytical solutions to multi term time space Caputo Riesz fractional diffusion equations on an infinite domain
... multi-term fractional diffusion equations are more flexible than single-term frac- tional diffusion equations in modeling the anomalous diffusion phenomena, they have often appeared in recent ... See full document
9
Stability and boundedness of solutions of the initial value problem for a class of time fractional diffusion equations
... years, fractional partial differential equations have been applicated in the study of viscoelasticity, biology, anomalous diffusion, such as ...for fractional partial differential ...analytical ... See full document
10
Fractional Diffusion Equations and Equivalent Circuits Applied to Ionic Solutions
... ionic solutions obtained from the salts previously ...the fractional diffusion equation and its connection with equivalent circuits with CPE ... See full document
10
Solution of One –dimensional Fractional Diffusion Equations Involving Caputo Fractional Derivatives in terms of the Mittag Leffler Functions
... the solutions of one-dimensional linear fractional diffusion equations defined by ...The solutions are obtained in a closed and elegant forms in terms of the H-function and generalized ... See full document
12
Analysis of the fractional diffusion equations with fractional derivative of non singular kernel
... the fractional diffusion equa- tions with the Caputo fractional derivative of non-singular ...about fractional deriva- tives with exponential ...Caputo fractional derivative of non-singular ... See full document
12
Fractal and Fractional Diffusion Equations of Price Changing of Commodity
... the diffusion equation modeling by fractal and fractional derivatives, it has been studied in field of visco-elasticity [3], however, no paper concerned diffu- sion equation modeling with fractal and ... See full document
5
Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives
... study fractional diffusion equations with controls by the method of an ab- stract variational ...of fractional calculus and fractional differential equations we refer to Kilba et ... See full document
14
On Approximate Solutions for Time-Fractional Diffusion Equation
... preconditioned fractional rotated finite difference method for solving 2D Time-Fractional Diffusion ...of fractional rotated five point’s approximation method will be ... See full document
6
Discrete monotone method for space fractional nonlinear reaction–diffusion equations
... the solutions of parabolic problems with time delays [10], to investigate two-dimensional simulation of submicron MOSFETs [11], to provide numerical analysis of coupled systems of nonlinear parabolic ... See full document
23
Aggregation equations with fractional diffusion : preventing concentration by mixing
... aggregation-diffusion equations with strongly singular kernels and weak (fractional) dissipation in the presence of an incompressible ...the equations are supercritical in the sense that the ... See full document
29
Fractional diffusion: biological models and nonlinear problems driven by the s-power of the Laplacian.
... This process is called ”generalized velocity jump processes with resting states” and also for this process is possibile to obtain the classical diffusion equation. Infact we can arrive to a large time effective ... See full document
98
Close Form Solutions of the Fractional Generalized Reaction Duffing Model and the Density Dependent Fractional Diffusion Reaction Equation
... evolution equations (NLEEs) in mathematical physics, applied mathematics and ...the fractional generalized reaction Duffing model and density dependent fractional diffusion reaction ... See full document
8
Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations
... involving fractional order derivative were given no- ticeable importance because they are more accurate and realistic as compared to the classical order models [22, 26, ...of fractional calcu- lus, many ... See full document
14
Difference numerical solutions for time-space fractional advection diffusion equation
... of fractional differential equations have attracted the atten- tion of many scholars in the last few ...decades. Fractional order differential equations are generalizations of classical ... See full document
11
Fractional chemotaxis diffusion equations
... macroscopic model equations of chemotaxis with anomalous sub- diffusion for modelling chemically directed transport of biological organisms in changing chemical environments with diffusion ... See full document
26
Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations
... called fractional reaction-diffusion equations ...a fractional order temporal derivative acting on the spatial Laplacian with standard classical rate equations for the reaction terms ... See full document
34
Stability and convergence of the Crank Nicolson scheme for a class of variable coefficient tempered fractional diffusion equations
... A Crank-Nicolson scheme catering to solving initial-boundary value problems of a class of variable-coefficient tempered fractional diffusion equations is proposed. It is shown through theoretical analysis that ... See full document
11
Online Full Text
... In this paper, the authors have proposed a numerical algorithm based on Legendre polynomials operational matrix to solve a class of two term time fractional convection-diffusion equations with ... See full document
5
Blow up solutions to the Cauchy problem of a fractional reaction diffusion system
... The diffusion process is one of the important processes in mathematical theories and real world problems [–]. The diffusion and/or the boundary conditions have the ten- dency to decrease or increase the solution []. ... See full document
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