Results 1 to 10 of about 311,754 (293)
Dynamics of Fractional Delayed Reaction-Diffusion Equations [PDF]
Entropy, 2023 The long-term behavior of the weak solution of a fractional delayed reaction–diffusion equation with a generalized Caputo derivative is investigated.
Linfang Liu, Juan J. Nieto
doaj +2 more sources
Learning Interactions in Reaction Diffusion Equations by Neural Networks [PDF]
Entropy, 2023 Partial differential equations are common models in biology for predicting and explaining complex behaviors. Nevertheless, deriving the equations and estimating the corresponding parameters remains challenging from data.
Sichen Chen +3 more
doaj +2 more sources
Blowup and MLUH stability of time-space fractional reaction-diffusion equations
Electronic Research Archive, 2022 In this paper, we consider a class of nonlinear time-space fractional reaction-diffusion equations by transforming the time-space fractional reaction-diffusion equations into an abstract evolution equations in a fractional Sobolev space.
Peng Gao, Pengyu Chen
doaj +1 more source
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
doaj +1 more source
Structural stability for scalar reaction-diffusion equations
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we prove the structural stability for a family of scalar reaction-diffusion equations. Our arguments consist of using invariant manifold theorem to reduce the problem to a finite dimension and then, we use the structural stability of Morse–
Jihoon Lee, Leonardo Pires
doaj +1 more source
Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay
Mathematics, 2023 This study is devoted to reaction–diffusion equations with spatially anisotropic time delay. Reaction–diffusion PDEs with either constant or variable transfer coefficients are considered.
Andrei D. Polyanin, Vsevolod G. Sorokin
doaj +1 more source
Exact solutions of nonlinear delay reaction–diffusion equations with variable coefficients
Partial Differential Equations in Applied Mathematics, 2021 A modified method of functional constraints is used to construct the exact solutions of nonlinear equations of reaction–diffusion type with delay and which are associated with variable coefficients.
M.O. Aibinu, S.C. Thakur, S. Moyo
doaj +1 more source
Study of ODE limit problems for reaction-diffusion equations [PDF]
Opuscula Mathematica, 2018 In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters.
Jacson Simsen +2 more
doaj +1 more source
Numerical Solutions of Space-Fractional Advection–Diffusion–Reaction Equations
Fractal and Fractional, 2021 Background: solute transport in highly heterogeneous media and even neutron diffusion in nuclear environments are among the numerous applications of fractional differential equations (FDEs), being demonstrated by field experiments that solute ...
Valentina Anna Lia Salomoni +1 more
doaj +1 more source
Approximation of Neural Network Dynamics by ReactionâDiffusion Equations [PDF]
Mathematical Methods in the Applied Sciences, 1996 Summary: The equations of the Hopfield network, without the constraint of symmetry, can have complex behaviours. \textit{G. H. Cottet} [see C. R. Acad. Sci., Paris, Sér. I 312, No. 2, 217-221 (1991; Zbl 0714.92003)] borrowed techniques from particle methods to show that a class of such networks with symmetric, translation-invariant connection matrices ...
openaire +2 more sources