Existence results for fractional evolution equations with superlinear growth nonlinear terms
Existence results for fractional evolution equations with superlinear growth nonlinear terms
We investigate the initial value problem to a class of fractional evolution equations with superlinear growth nonlinear functions in Banach spaces. When the linear operator generates an extendable compact $ C_0 $-semigroup of contractions and the nonlinearity $ f:[0,T]\times X\to Y $ is Carathéodory continuous, with $ X $ and …