Periodic solutions of neutral fractional differential equations

Abstract

We characterize the existence of periodic solutions for some abstract neutral functional fractional differential equations with finite delay when the underlying space is a UMD space. K E Y W O R D SOperator-valued Fourier multipliers, -boundedness, periodic vector-valued Lebesgue spaces, neutral functional differential equations M S C ( 2 0 1 0 ) 34G10, 34K13, 35A02, 47D06