Certain inequalities for s-convex functions via Caputo fractional derivative and Caputo-Fabrizio integral operator

Gültekin Tınaztepe, Ilknur Yeşilce Işık, SERAP KEMALİ, Gabil Adilov

Abstract


In this paper, several integral inequalities for the functions whose derivatives are s-convex functions in the8 fourth sense are obtained by means of Caputo fractional derivative and Caputo-Fabrizio integral operator. Also the9 Hermite-Hadamard type inequalities for s-convex functions and their products are stated via Caputo-Fabrizio integral10 operator.

Keywords


Convex functions, s-convexity, Hermite-Hadamard type inequality, Caputo fractional derivatives, Caputo, Fabrizio integral operator.

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