Results 11 to 20 of about 644,555 (334)

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

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
core   +3 more sources

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
core   +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, Nicolas J-B. Brunel, Xin Yang, Xinping Cui   +3 more
doaj   +2 more sources

Efficient Quantum Algorithm for Nonlinear Reaction–Diffusion Equations and Energy Estimation [PDF]

Communications in Mathematical Physics, 2022
Nonlinear differential equations exhibit rich phenomena in many fields but are notoriously challenging to solve. Recently, Liu et al. (in: Proceedings of the National Academy of Sciences 118(35), 2021) demonstrated the first efficient quantum algorithm ...
Jin-Peng Liu, Dong An, Di Fang, Jiasu Wang, G. Low, S. Jordan   +5 more
semanticscholar   +1 more source

Reaction-Diffusion Equations [PDF]

, 2005
Q. Morris, N. Fonseka, P. Girg
semanticscholar   +3 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, Phang Chang, Kanwal Afshan   +2 more
doaj   +1 more source

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

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