Results 21 to 30 of about 85,723 (275)
Fractal and Fractional, 2023 In the last few years, reaction–diffusion models associated with discrete fractional calculus have risen in prominence in scientific fields, not just due to the requirement for numerical simulation but also due to the described biological phenomena. This
Tareq Hamadneh +5 more
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Linear Stability of Fractional Reaction - Diffusion Systems [PDF]
Mathematical Modelling of Natural Phenomena, 2007 Summary: Theoretical framework for linear stability of an anomalous sub-diffusive activator-inhibitor system is set. Generalized Turing instability conditions are found to depend on anomaly exponents of various species. In addition to monotonous instability, known from normal diffusion, in an anomalous system oscillatory modes emerge. For equal anomaly
Nec, Y., Nepomnyashchy, A. A.
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Complex-order fractional diffusion in reaction-diffusion systems
Communications in Nonlinear Science and Numerical Simulation, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alfonso Bueno-Orovio, Kevin Burrage
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Time Fractional Fisher–KPP and Fitzhugh–Nagumo Equations
Entropy, 2020 A standard reaction–diffusion equation consists of two additive terms, a diffusion term and a reaction rate term. The latter term is obtained directly from a reaction rate equation which is itself derived from known reaction kinetics, together with ...
Christopher N. Angstmann, Bruce I. Henry
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Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation
Advances in Mathematical Physics, 2023 The time-fractional diffusion equation coupled with a first-order irreversible reaction is investigated by employing integral transforms. We derive Green’s functions for short and long times via approximations of the Mittag-Leffler function.
Alexey Zhokh, Peter Strizhak
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GROUND STATES FOR A FRACTIONAL REACTION-DIFFUSION SYSTEM
Journal of Applied Analysis & Computation, 2021 Summary: In this paper, we prove the existence of the ground state of a strongly indefinite fractional reaction-diffusion system based on the Non-Nehari method established by Tang-Chen-Lin-Yu [\textit{X. Tang} et al., J. Differ. Equations 268, No. 8, 4663--4690 (2020; Zbl 1437.35224)].
Chen, Peng +3 more
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Analytical approximation solution of a mathematical modeling of reaction-diffusion brusselator system by reduced differential transform method [PDF]
Journal of Hyperstructures, 2014 In this paper an approximate analytical solution of a mathematical modeling of reaction-diffusion Brusselator system with fractional time derivative will be obtained with the help of the reduced differential transform method. Fractional reactiondiffusion
A. Taghavi, A. Babaei, A. Mohammadpour
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Splitting spectral element method for fractional reaction-diffusion equations
Journal of Algorithms & Computational Technology, 2020 In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
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Partial Differential Equations in Applied Mathematics, 2023 A Numerical solution of the Caputo-time and Riesz-space fractional reaction–diffusion model is considered in this paper. Based on finite difference schemes, we formulate both second-order and fourth-order numerical methods for the approximation of the ...
Kolade M. Owolabi
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On Fractional-Order Discrete-Time Reaction Diffusion Systems
Mathematics, 2023 Reaction–diffusion systems have a broad variety of applications, particularly in biology, and it is well known that fractional calculus has been successfully used with this type of system.
Othman Abdullah Almatroud +3 more
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