Innovative Fractional Applications Using NE Transform

Abstract

In this work, we use the NE transform to address several interesting problems. We examine market equilibrium economic models, the falling body problem, and the gross domestic product model with fractional derivatives. We use specific applications to illustrate the effectiveness of the NE transform. We investigate different kernels on the model to show the effects of different fractional derivatives. This research contributes to Industry, Innovation and Infrastructure, through advancing mathematical methods applicable to industrial innovation modelling. © 2026 NSP Natural Sciences Publishing Cor.