Title of article :
Certain Inequalities for s-Convex Functions via Caputo Fractional Derivative and Caputo-Fabrizio Integral Operator
Author/Authors :
Tınaztepe, Gültekin Akdeniz University , Işık, Ilknur Yeşilce Akdeniz University , Kemali, Serap Akdeniz University , Adilov, Gabil Akdeniz University
Abstract :
In this paper, several integral inequalities for the functions
whose derivatives are s-convex functions in the fourth sense are obtained
by means of Caputo fractional derivative and Caputo-Fabrizio integral
operator. Also the Hermite-Hadamard type inequalities for s-convex
functions and their products are stated via Caputo-Fabrizio integral
operator.
Keywords :
Caputo - Fabrizio integral operator , Convex functions , s - convexity , Hermite Hadamard type inequality , Caputo fractional derivatives
Journal title :
Journal of Mathematical Extension(IJME)
