Results 41 to 50 of about 85,723 (275)
Algorithms for numerical solving of 2D anomalous diffusion problems
Mathematical Modelling and Analysis, 2012 Fractional analog of the reaction diffusion equation is used to model the subdiffusion process. Diffusion equation with fractional Riemann–Liouville operator is analyzed in this paper.
Natalia Abrashina-Zhadaeva +1 more
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Fractal and Fractional, 2020 This paper proposes the analytical solution for a class of the fractional diffusion equation represented by the fractional-order derivative. We mainly use the Grunwald–Letnikov derivative in this paper.
Ndolane Sene
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Numerical Solutions of Certain New Models of the Time-Fractional Gray-Scott
Journal of Function Spaces, 2021 A reaction-diffusion system can be represented by the Gray-Scott model. In this study, we discuss a one-dimensional time-fractional Gray-Scott model with Liouville-Caputo, Caputo-Fabrizio-Caputo, and Atangana-Baleanu-Caputo fractional derivatives.
Sami Aljhani +3 more
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Fourier spectral methods for fractional-in-space reaction-diffusion equations [PDF]
, 2012 Fractional differential equations are becoming increasingly used as a powerful modelling approach for understanding the many aspects of nonlocality and spatial heterogeneity.
Bueno-Orovio, A., Burrage, K., Kay, D.
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Propagation in reaction-diffusion equations with fractional diffusion
, 2023 This thesis focuses on the long time behaviour of solutions to Fisher-KPP reaction-diffusion equations involving fractional diffusion. This type of equation arises, for example, in spatial propagation or spreading of biological species (rats, insects,...).
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Particle-tracking simulation of fractional diffusion-reaction processes
Physical Review E, 2011 Computer simulation of reactive transport in heterogeneous systems remains a challenge due to the multiscale nature of reactive dynamics and the non-Fickian behavior of transport. This study develops a fully Lagrangian approach via particle tracking to describe the reactive transport controlled by the tempered super- or subdiffusion.
Yong, Zhang, Charalambos, Papelis
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Analysis of Cauchy reaction-diffusion equations involving Atangana-Baleanu fractional operator
Partial Differential Equations in Applied MathematicsThis study investigates the Cauchy reaction-diffusion equation (CRDE) with the Atangana-Baleanu differential operator. The existence and uniqueness of solutions to fractional starting value issues are begun using the fixed-point theorem and contraction ...
Hassan Kamil Jassim, Ali Latif Arif
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Axioms, 2015 This article is in continuation of the authors research attempts to derive computational solutions of an unified reaction-diffusion equation of distributed order associated with Caputo derivatives as the time-derivative and Riesz-Feller derivative as ...
Ram K. Saxena +2 more
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Front propagation in reaction-diffusion systems with anomalous diffusion
, 2014 A numerical study of the role of anomalous diffusion in front propagation in reaction-diffusion systems is presented. Three models of anomalous diffusion are considered: fractional diffusion, tempered fractional diffusion, and a model that combines ...
del-Castillo-Negrete, D.
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A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations
, 2007 A class of Laplace transforms is examined to show that particular cases of this class are associated with production-destruction and reaction-diffusion problems in physics, study of differences of independently distributed random variables and the ...
A. M. Mathai +23 more
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