1 citations · 2 across the 16 of their papers we have counts for
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Convergence of solutions of discrete semi-linear space-time fractional evolution equations
Harbir Antil, Carlos Lizama, Rodrigo Ponce +1
Let be the realization of the fractional Laplace operator on the space of continuous functions , and let denote the discrete fractional Lapla…
Controllability of the one-dimensional fractional heat equation under positivity constraints
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
In this paper, we analyze the controllability properties under positivity constraints on the control or the state of a one-dimensional heat equation involving the fractional Laplac…
Fractional Gaussian estimates and holomorphy of semigroups
Valentin Keyantuo, Fabian Seoanes, Mahamadi Warma
Let be an arbitrary open set and denote by $(e^{-t(-Δ)_{\RR^N}^s})_{t\ge 0}$ (where ) the semigroup on $L^2(\RR^N)$ generated by the fractional Laplace operat…
Null-controllability properties of a fractional wave equation with a memory term
Umberto Biccari, Mahamadi Warma
We study the null-controllability properties of a one-dimensional wave equation with memory associated with the fractional Laplace operator. The goal is not only to drive the displ…