Generalized g–fractional vector representation formula and integral inequalities for Banach space valued functions

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 Grüss type inequalities. All these inequalities are very general having in their background Bochner type integrals