Optimal error bound and modified kernel method for a space-fractional backward diffusion problem
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1728-2
Abstract: In this paper, we consider a backward problem for a space-fractional diffusion equation. This problem is ill-posed, i.e., the solution does not depend continuously on the data. The optimal error bound for the problem under… read more here.
Keywords: backward; space fractional; modified kernel; optimal error ... See more keywords
Optimal Error Quantification and Robust Tracking under Unknown Upper Bounds on Uncertainties and Biased External Disturbance
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DOI: 10.3390/math12020197
Abstract: This paper addresses a problem of optimal error quantification in the framework of robust control theory in the 𝓁1 setup. The upper bounds of biased external disturbance and the gains of coprime factor perturbations in… read more here.
Keywords: external disturbance; upper bounds; disturbance; optimal error ... See more keywords