Approximate solutions for stochastic time‐fractional reaction–diffusion equations with multiplicative noise
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6925
Abstract: In this paper, we consider the approximate solutions of time‐fractional reaction–diffusion equations forced by multiplicative noise on a bounded domain. When the diffusion is large, one can approximate the solutions of the stochastic time‐fractional reaction–diffusion… read more here.
Keywords: time; fractional reaction; time fractional; reaction diffusion ... See more keywords
A class of efficient difference method for time fractional reaction–diffusion equation
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-018-0579-5
Abstract: The fractional reaction–diffusion equation has profound physical background and theoretical connotation, and its numerical methods are of great scientific significance and practical value. In this paper, a class of explicit–implicit (E–I) difference method and implicit–explicit… read more here.
Keywords: difference; reaction diffusion; diffusion equation; fractional reaction ... See more keywords
Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction–diffusion equations
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0845-1
Abstract: This paper proposes a new method for solving distributed order time-fractional reaction–diffusion equations (DO-TFRDEs). Extended versions of the shifted Jacobi–Gauss–Lobatto and shifted fractional order Jacobi–Gauss–Radau collocation methods are developed for reducing the DO-TFRDEs to systems… read more here.
Keywords: order; time fractional; distributed order; fractional reaction ... See more keywords
A generalized-Jacobi-function spectral method for space-time fractional reaction-diffusion equations with viscosity terms
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.11.015
Abstract: In this work, we study a new spectral Petrov-Galerkin approximation of space-time fractional reaction-diffusion equations with viscosity terms built by Riemann-Liouville fractional-order derivatives. The proposed method is reliant on generalized Jacobi functions (GJFs) for our… read more here.
Keywords: space time; fractional reaction; diffusion; viscosity terms ... See more keywords
Global Mittag-Leffler synchronization of coupled delayed fractional reaction-diffusion Cohen-Grossberg neural networks via sliding mode control.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0102787
Abstract: This paper studies the sliding mode control method for coupled delayed fractional reaction-diffusion Cohen-Grossberg neural networks on a directed non-strongly connected topology. A novel fractional integral sliding mode surface and the corresponding control law are… read more here.
Keywords: coupled delayed; sliding mode; mode control; control ... See more keywords
Observer design for time fractional reaction–diffusion systems with spatially varying coefficients and weighted spatial averages measurement
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2022.2040640
Abstract: In this paper, we consider an observer design problem of a time fractional reaction–diffusion system with space-dependent coefficients and measurement of weighted spatial averages. Different from the boundary measurement, here, the output is a weighted… read more here.
Keywords: system; time fractional; observer design; fractional reaction ... See more keywords
Global and non-global solutions of a fractional reaction-diffusion equation perturbed by a fractional noise
Sign Up to like & getrecommendations! Published in 2020 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2020.1751659
Abstract: Abstract We provide conditions implying finite-time blowup of positive weak solutions to the semilinear equation where and are constants, is the fractional power of the Laplacian, is a fractional Brownian motion with Hurst parameter H,… read more here.
Keywords: global non; solutions fractional; fractional reaction; equation ... See more keywords