In this article, we propose a new factorization technique for nonlinear ODEs involving local
fractional derivatives for the first time. By making use of the traveling-wave transformation …

Fractal analysis is one of interesting research areas of computer science and engineering,
which depicts a precise description of phenomena in modeling. Visual beauty and self …

First, we introduce a generalized m-convexity concept defined on the real linear fractal set ℝ
α (0< α≤ 1) and discuss the relation between generalized m-convexity and m-convexity …

The present article addresses the concept of p-convex functions on fractal sets. We are able
to prove a novel auxiliary result. In the application aspect, the fidelity of the local fractional is …

Inequalities play important roles not only in mathematics but also in other fields, such as
economics and engineering. Even though many results are published as Hermite …

In this article, we define a new class of convexity called generalized (h− m)-convexity, which
generalizes h-convexity and m-convexity on fractal set R α (0< α≤ 1). Some properties of …

Integral inequality is an interesting mathematical model due to its wide and significant
applications in mathematical analysis and fractional calculus. In the present research article …

First, we construct a reformative version of the power-mean integral inequality in the sense
of fractal space. Second, we define what we named as the generalized (s, P)-convex …

This article aims to investigate certain inequalities for generalized h-convexity on fractal sets
R α, which are related to the famous Fejér–Hermite–Hadamard inequality. For this purpose …

In this paper, we will present the new generalized F-convexity and related integral
inequalities on fractal sets R ς (0< ς≤ 1). These developments allow us to develop new …