Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities.

In this article, we established a new version of generalized fractional Hadamard and Fejér--Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone increasing functions is utilized to obtain the new version of such fractional inequalities. Our derived results are a generalized form of several proven inequalities already existing in the literature. The proven inequalities are useful for studying the stability and control of corresponding fractional dynamic equations. [ABSTRACT FROM AUTHOR]