Initial boundary value problems for time-fractional evolution equations in Banach spaces

Giuseppe Floridia, Fikret Golgeleyen, Masahiro Yamamoto

We consider an initial value problem for time-fractional evolution equation in Banach space $X$: $$ \pppa (u(t)-a) = Au(t) + F(t), \quad 0<t<T. \eqno{(*)} $$ Here $u: (0,T) \rrrr X…