Reverse fractional integral inclusions and generic $ \eta_{\hslash} $ interval-valued convexity

This paper presents the development of reverse Minkowski and reverse Hölder's fractional integral inclusions. We propose a generic class of $ \eta_{\hslash} $ interval-valued $ (\mathrm{I}.\mathrm{V}) $ convex functions, which unifies various existing classes. Additionally, we obtain a discrete Jensen-type inclusion within this convexity setup. By leveraging this advanced convexity structure together with tempered fractional integral operators, we derive new Hermite–Hadamard ($ \mathrm{H} $-$ \mathrm{H} $)-type, Fejér-$ \mathrm{H} $-$ \mathrm{H} $-type, and other fractional inclusions. Moreover, we explore the broader significance of our results, supporting them with graphical visualizations. The applications of our results are demonstrated through average value computations.