We develop a fresh family of functions, called as multiplicatively (P, m)-convex functions. In
this direction, we study the properties of such type functions, and establish integer-order …

In this present paper, we introduce and study a dynamical systems involving fractional
derivative operator and nonlocal condition, which is constituted of a fractional evolution …

Local fractional calculus theory and parameterized method have greatly assisted in the
advancement of the field of inequalities. To continue its enrichment, this study investigates …

The fractal (m, h)-preinvex mappings are put forward and their properties are investigated
firstly. Meanwhile, some fractal Hermite–Hadamard-type (HH) and Fejér–Hermite …

In this paper, we prove some inequalities for Riemann–Lebesgue integrable functions when
the considered integration is obtained via a non-additive measure, including the reverse …

We present a general integral identity involving 2α-local fractional derivative. Based on the
integral identity and the fact that the 2α-local fractional derivative in absolute value is …

In this research article, we establish several general local fractional integral inequalities via
generalized (h1, h2) preinvex mapping on fractal sets. By considering different parameter …