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math.AP2025
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 }(…
math.AP2025
Boundary observation and control for fractional heat and wave equations
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
We establish boundary null controllability of the heat equation driven by the integral fractional Laplacian on a bounded smooth domain for every and every fractional…