Results 31 to 40 of about 85,723 (275)
Finite-time boundary stabilization of fractional reaction-diffusion systems [PDF]
Mathematical Methods in the Applied Sciences, 2022 This paper investigates the boundary finite-time stabilization of fractional reaction-diffusion systems (FRDSs). First, a distributed controller is designed, and sufficient conditions are obtained to ensure the finite-time stability (FTS) of FRDSs under the designed controller. Then, a boundary controller is presented to achieve the FTS.
Run‐Jie Zhang +2 more
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IEEE Access, 2021 This paper addresses an adaptive fuzzy feedback controller design problem for finite-time Mittag-Leffler synchronization (FTMLS) of fractional-order quaternion-valued reaction-diffusion T-S fuzzy molecular modeling of delayed neural networks.
G. Narayanan +6 more
doaj +1 more source
Turing pattern formation with fractional diffusion and fractional reactions [PDF]
Journal of Physics: Condensed Matter, 2007 We have investigated Turing pattern formation through linear stability analysis and numerical simulations in a two-species reaction–diffusion system in which a fractional order temporal derivative operates on both species, and on both the diffusion term and the reaction term.
Langlands, T. A. M. +2 more
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Mathematics, 2022 This paper introduces a novel synchronization scheme for fractional-order neural networks with time delays and reaction-diffusion terms via pinning control.
M. Hymavathi +6 more
doaj +1 more source
A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates [PDF]
, 2003 We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster ...
Dancer E. N. +11 more
core +1 more source
Rational approximation to the fractional Laplacian operator in reaction-diffusion problems [PDF]
, 2016 This paper provides a new numerical strategy to solve fractional in space reaction-diffusion equations on bounded domains under homogeneous Dirichlet boundary conditions.
Aceto, Lidia, Novati, Paolo
core +3 more sources
A Fractional Reaction-Diffusion Description of Supply and Demand [PDF]
SSRN Electronic Journal, 2017 7 pages, 2 ...
Benzaquen, Michael +1 more
openaire +4 more sources
Regularity theory for time-fractional advection–diffusion–reaction equations [PDF]
Computers & Mathematics with Applications, 2020 22 pages, no figures.
William McLean +3 more
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Fractal and Fractional, 2019 In this paper, the approximate solutions of the fractional diffusion equations described by the fractional derivative operator were investigated. The homotopy perturbation Laplace transform method of getting the approximate solution was proposed.
Ndolane Sene, Aliou Niang Fall
doaj +1 more source
Dynamics of a Stochastic Fractional Reaction-Diffusion Equation
Taiwanese Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Linfang, Fu, Xianlong
openaire +3 more sources