Abstract

LetAbe the class of functionsf(z)in the open unit diskUwithf(0)=0andf′(0)=1. Also, letw(ζ)be a Möbius transformation inUfor somez∈U. Applying the Möbius transformations, we consider some properties of fractional calculus (fractional derivatives and fractional integrals) off(z)∈A. Also, some interesting examples for fractional calculus are given.

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