Some Caputo-Fabrizio Fractional Integral Inequalities with applications

Abstract

Fractional integrals and inequalities have received a lot of attention and have been the primary focus of numerous studies. By introducing innovative~analytical approaches and applications, the results of numerous forms of inequalities have been discussed. In the present study, based on an identity established for Caputo-Fabrizio integral operators, and utilizing functions whose absolute value of the second derivative is convex, new error bounds for Hermite-Hadamard type inequalities are obtained yielding both practical and useful results. It has been observed that the obtained Hermite-Hadamard type inequalities have a relationship with previous results. Further, application to special means are discussed.