FRACTIONAL CALCULUS BETWEEN BANACH SPACES ALONG WITH OSTROWSKI AND GR¨USS TYPE INEQUALITIES
Keywords: Abstract fractional calculus, abstract fractional derivative, Ostrowski inequality, Gr¨uss inequality.
AbstractHere 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.
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