Fractional calculus and applications have application areas in many different fields such as physics, chemistry, engineering well mathematics. The of arithmetic carried out classical analysis fractional is very important terms obtaining more realistic results the solution problems. In this study, we prove an identity involving generalized integrals by using differentiable functions. By utilizin...

This article presents some new inequalities of Simpson’s type for differentiable functions by using (α,m)-convexity. Some results concavity are also obtained. These estimates improve on the previously known ones. applications special means real numbers provided.

We devise a framework encompassing the classical theory of characteristics and the theory valid in the convex case recently obtained by R.T. Rockafellar and P. Wolenski. It relies on a notion of transform introduced by I. Ekeland. It involves a class of functions called Ekeland functions which is large enough to encompass convex functions, concave functions and linear-quadratic functions, as we...