Galerkin Type Methods for Semilinear Time-Fractional Diffusion Problems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-020-01230-z
Abstract: We derive optimal $$L^2$$ L 2 -error estimates for semilinear time-fractional subdiffusion problems involving Caputo derivatives in time of order $$\alpha \in (0,1)$$ α ∈ ( 0 , 1 ) , for cases with smooth… read more here.
Keywords: time; methods semilinear; galerkin type; time fractional ... See more keywords
Trajectory planning for semilinear time-fractional reaction-diffusion systems under Robin boundary conditions
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DOI: 10.1016/j.ifacol.2020.12.1520
Abstract: Abstract This paper describes how to design flatness-based distributed feedforward controllers for the solution of the trajectory planning problem of semilinear time-fractional reaction-diffusion systems (TFRDSs), where the first-order time derivative of conventional reaction-diffusion system is… read more here.
Keywords: semilinear time; trajectory planning; time; reaction diffusion ... See more keywords
Estimation via Mobile Sensors for Semilinear Time-Fractional Diffusion Processes
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DOI: 10.1109/lcsys.2021.3137721
Abstract: The purpose of this letter is to solve an extended observer design problem for state estimation of the anomalous sub-diffusion processes modeled by the 1D semilinear time-fractional diffusion systems. Toward this aim we introduce the… read more here.
Keywords: fractional diffusion; diffusion; semilinear time; time fractional ... See more keywords