Regularity theory for a new class of fractional parabolic stochastic evolution equations

Kristin Kirchner, Joshua Willems

A new class of fractional-order stochastic evolution equations of the form $({\partial }_t+A{)}^{\gamma }X(t)={\dot{W}}^Q(t)$, $t\in [0,T]$, $\gamma \in (0,\infty )$, is introduced, where $-A$ genera…