Article overview
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.
Keywords and Phrases
Abstract fractional calculusabstract fractional derivativeOstrowski inequalityGr\"{u}ss inequality.
AMS Subject Classification
26A33, 26D10, 26D15.
Reference information
How to Cite
George A. Anastassiou (2022). FRACTIONAL CALCULUS BETWEEN BANACH SPACES ALONG WITH OSTROWSKI AND GR\"{U}SS TYPE INEQUALITIES. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(1), 13-30.