WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS OF A CLASS OF SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

We study the existence and uniqueness of a weighted pseudoalmost periodic (mild) solution to the semilinear fractional equation @® t u = Au+@®¡1 t f(:; u); 1 < ®2, where A is a linear operator of sectorial negative type. This article also deals with the existence of these types of solutions to abstract partial evolution equations