FRACTIONAL CALCULUS BETWEEN BANACH SPACES ALONG WITH OSTROWSKI AND GR\"{U}SS TYPE INEQUALITIES

Authors

  • George A. Anastassiou (Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.)

Keywords:

Abstract fractional calculus, abstract fractional derivative, Ostrowski inequality, Gr\

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\"{u}ss type inequalities at very abstract level.

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Published

2023-06-08

Issue

Vol. 10 No. 01 (2022): Journal of Ramanujan Society of Mathematics and Mathematical Sciences

Section

Articles