1 citations · 1 across the 6 of their papers we have counts for
7 papers
Superdiffusive fractional dynamics: Unveiling regularity results in systems with general positive self-adjoint operators
Edgardo Alvarez, Ciprian G. Gal, Valentin Keyantuo +1
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^{\prime }(…
Memory approximate controllability properties for higher order Hilfer time fractional evolution equations
Ernes Aragones, Valentin Keyantuo, Mahamadi Warma
In this paper we study the approximate controllability of fractional partial differential equations associated with the so-called Hilfer type time fractional derivative and a non-n…
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…
Boundary values of holomorphic semigroups and fractional integration
Omar EL-Mennaoui, Valentin Keyantuo, Ahmed Sani
The concept of boundary values of holomorphic semigroups in a general Banach space is studied. As an application, we consider the Riemann-Liouville semigroup of integration operato…
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…
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…