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Numerical solutions for fractional reaction–diffusion equations
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baeumer, Boris +2 more
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Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation [PDF]
, 2009 In view of the role of reaction equations in physical problems, the authors derive the explicit solution of a fractional reaction equation of general character, that unifies and extends earlier results.
Haubold, H. J. +2 more
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Mathematical modeling of time fractional reaction–diffusion systems
Journal of Computational and Applied Mathematics, 2008 The authors study a fractional-order reaction-diffusion system with two types of variables: activator and inhibitor. The existence of periodic solutions is stablished. A computer simulation is presented.
Gafiychuk, V., Datsko, B., Meleshko, V.
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Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation
Journal of Function Spaces, 2022 The present research correlates with a fuzzy hybrid approach merged with a new iterative transform method known as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we show that this
Nehad Ali Shah +3 more
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Asymptotic stability of an epidemiological fractional reaction-diffusion model
Demonstratio Mathematica, 2023 The aim of this article is to study the known susceptible-infectious (SI) epidemic model using fractional order reaction-diffusion fractional partial differential equations [FPDEs] in order to better describe the dynamics of a reaction-diffusion SI with ...
Djebara Lamia +2 more
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Fractional Diffusion Equation under Singular and Non-Singular Kernel and Its Stability
Fractal and Fractional, 2023 The fractional reaction–diffusion equation has been used in many real-world applications in fields such as physics, biology, and chemistry. Motivated by the huge application of fractional reaction–diffusion, we propose a numerical scheme to solve the ...
Enrique C. Gabrick +8 more
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Fractional View Study of the Brusselator Reaction–Diffusion Model Occurring in Chemical Reactions
Fractal and Fractional, 2023 In this paper, we study a fractional Brusselator reaction–diffusion model with the help of the residual power series transform method. Specific reaction–diffusion chemical processes are modeled by applying the fractional Brusselator reaction–diffusion ...
Saleh Alshammari +2 more
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Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach
Open Physics, 2023 In this work, we propose the Ritz approximation approach with a satisfier function to solve fractal-fractional advection–diffusion–reaction equations. The approach reduces fractal-fractional advection–diffusion–reaction equations to a system of algebraic
Md Nasrudin Farah Suraya +2 more
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Fractal and Fractional, 2023 Because they are useful for both enabling numerical simulations and containing well-defined physical phenomena, discrete fractional reaction–diffusion models have attracted a great deal of interest from academics. Within the family of fractional reaction–
Tareq Hamadneh +6 more
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On Stability of a Fractional Discrete Reaction–Diffusion Epidemic Model
Fractal and Fractional, 2023 This paper considers the dynamical properties of a space and time discrete fractional reaction–diffusion epidemic model, introducing a novel generalized incidence rate.
Omar Alsayyed +8 more
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