FRACTIONAL CALCULUS BETWEEN BANACH SPACES ALONG WITH OSTROWSKI AND GR¨USS TYPE INEQUALITIES

  • George A. . Anastassiou Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.
DOI: https://doi.org/10.56827/JRSMMS.2022.1001.2
Keywords: Abstract fractional calculus, abstract fractional derivative, Ostrowski inequality, Gr¨uss inequality.

Abstract

Here we present a fractional calculus Caputo type for functions between Banach spaces. Left and right fractional derivatives are defined on a segment of a Banach space, then we expand. We apply the above to new Ostrowski and Gr¨uss type inequalities at very abstract level.
Published
2022-12-30
Issue
Vol 10 No 01 (2022): J. of Ramanujan Society of Mathematics and Mathematical Sciences
Section
Research Article

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