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…