Results 11 to 20 of about 304,993 (285)

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
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Fractional reaction-diffusion equations [PDF]

Astrophysics and Space Science, 2007
In a series of papers, Saxena, Mathai, and Haubold (2002, 2004a, 2004b) derived solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which provide the extension of the work of Haubold and Mathai (1995 ...
A. Compte, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. M. Mathai, A. Wiman, A.A. Kilbas, A.M. Mathai, A.M. Mathai, A.P. Prudnikov, B.I. Henry, B.I. Henry, B.I. Henry, C. Tsallis, C. Tsallis, D. Del-Castillo-Negrete, D. Del-Castillo-Negrete, E.M. Wright, E.M. Wright, E.M. Wright, G. Nicolis, H. Haken, H. J. Haubold, H. Wilhelmsson, H.J. Haubold, H.J. Haubold, J.D. Murray, K.B. Oldham, K.S. Miller, L. Debnath, M. Caputo, M.G. Mittag-Leffler, M.G. Mittag-Leffler, M.M. Dzherbashyan, M.M. Dzherbashyan, R. K. Saxena, R. Metzler, R. Metzler, R.K. Saxena, R.K. Saxena, R.K. Saxena, R.M. Kulsrud, S. Jespersen, S.G. Samko, W. Hundsdorfer, Y. Kuramoto   +47 more
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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, Nicolas J-B. Brunel, Xin Yang, Xinping Cui   +3 more
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Perturbative Linearization of Reaction-Diffusion Equations [PDF]

Journal of Physics A: Mathematical and General, 2002
We develop perturbative expansions to obtain solutions for the initial-value problems of two important reaction-diffusion systems, viz., the Fisher equation and the time-dependent Ginzburg-Landau (TDGL) equation.
Ablowitz M J, Ablowitz M J, Aronson D G, Aronson D G, Bramson M, Bray A J, Burgers J, Cole J D, Dee G, Fisher R A, Fort J, Guo B-Y, Hopf E, Kay J rg Wiese, Kolmogorov A N, Kuramoto Y, Meinhardt H, Mollison D, Murray J D, Pelce P, Puri S, Puri S, Sanjay Puri, Suzuki M, van Saarloos W, van Saarloos W, van Saarloos W   +26 more
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Homogenization of reaction-diffusion equations in fractured porous media

Electronic Journal of Differential Equations, 2015
The article studies the homogenization of reaction-diffusion equations with large reaction terms in a multi-scale porous medium. We assume that the fractures and pores are equidistributed and that the coefficients of the equations are periodic.
Hermann Douanla, Jean Louis Woukeng
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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, Phang Chang, Kanwal Afshan   +2 more
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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
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Fractional reaction-diffusion equation [PDF]

The Journal of Chemical Physics, 2003
A fractional reaction-diffusion equation is derived from a continuous time random walk model when the transport is dispersive. The exit from the encounter distance, which is described by the algebraic waiting time distribution of jump motion, interferes with the reaction at the encounter distance. Therefore, the reaction term has a memory effect.
Seki, Kazuhiko, Wojcik, Mariusz, Tachiya, M.   +2 more
openaire   +2 more sources

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