Models, mathematical or stochastic, which move from one functional form to another through pathway parameters, so that in between stages can be captured, are examined in this article. Models which move from generalized type-1 beta family to type-2 beta family, to generalized gamma family to generalized Mittag-Leffler family to Lévy distributions are examined here. It is known that one can likel...

The objective of this research is to obtain some fractional integral formulas concerning products the generalized Mittag–Leffler function and two H-functions. resulting are described in terms H-function several variables. Moreover, we give illustrative examples for efficiency general approach our results.

Several fractional integral inequalities of the Hermite–Hadamard type are presented for class (h,g;m)-convex functions. Applied operators contain extended generalized Mittag-Leffler functions as their kernel, thus enabling new that extend and generalize known results. As an application, upper bounds given.

Let C be a category with strong monomorphic strong coimages, that is, every morphism ƒ of C factors as ƒ = u ° g so that g is a strong epimorphism and u is a strong monomorphism and this factorization is universal. We define the notion of strong Mittag-Leffler property in pro-C. We show that if ƒ : X → Y is a level morphism in pro-C such that ( ) p Y ! " is a strong epimorphism for all β > α, t...

This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements many inequalities. By setting values monotone functions, it is possible reproduce results classical convexities. The Hadamard-type several classes related convex functions are identifie...