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

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Keywords:

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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Published

2021-12-14

How to Cite

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 https://eudoxuspress.com/index.php/pub/article/view/214

Issue

Vol. 29 No. 6 (2021): JOCAAA

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Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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