Generalized gñFractional vector Representation Formula and integral Inequalities for Banach space valued functions

Abstract

Here we give a very general fractional Bochner integral representation formula for Banach space valued functions. We derive generalized left and righ fractional Opial type inequalities, fractional Ostrowski type inequalities and fractional Gr¸ss type inequalities. All these inequalities are very general having in their background Bochner type integrals