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math.AP2020
Approximate and mean approximate controllability properties for Hilfer time-fractional differential equations
Ernest Aragones, Valentin Keyantuo, Mahamadi Warma
We study the approximate and mean approximate controllability properties of fractional partial differential equations associated with the so-called Hilfer type time-fractional deri…
math.AP2019
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…
math.AP2018
Well-posedness results for a class of semi-linear super-diffusive equations
Edgardo Alvarez, Ciprian Gal, Valentin Keyantuo +1
In this paper we investigate the following fractional order in time Cauchy problem \begin{equation*} \begin{cases} \mathbb{D}_{t}^{α}u(t)+Au(t)=f(u(t)), & 1<α<2, u(0)=u_{0},\,\,\,u…