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A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs
Harbir Antil, Ciprian G. Gal, Mahamadi Warma
We consider optimal control of fractional in time (subdiffusive, i.e., for ) semilinear parabolic PDEs associated with various notions of diffusion operators in an unifyin…
Optimal Control, Numerics, and Applications of Fractional PDEs
Harbir Antil, Thomas S. Brown, Ratna Khatri +3
This article provides a brief review of recent developments on two nonlocal operators: fractional Laplacian and fractional time derivative. We start by accounting for several appli…
Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation
Harbir Antil, Umberto Biccari, Rodrigo Ponce +2
We study the controllability to trajectories, under positivity constraints on the control or the state, of a one-dimensional heat equation involving the fractional Laplace operator…