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…