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

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Bamach space valued functions, vector generalized fractional derivative, Caputo fractional derivative, generalized vector fractional integral inequalities, Bochner integral, fractional vector representation formula

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

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2021-12-14

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George A. Anastassiou. (2021). Generalized gñFractional vector Representation Formula and integral Inequalities for Banach space valued functions. Journal of Computational Analysis and Applications (JoCAAA), 29(6), 1063–1081. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/214

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