Fractal Sumudu Transform and Economic Models

TL;DR

This paper introduces a novel fractal derivative with a nonsingular kernel and demonstrates its application in economic models, comparing it with the Caputo fractal derivative to showcase its effectiveness.

Contribution

The paper proposes a new fractal derivative with a nonsingular kernel and applies it to economic models, expanding the tools available for modeling complex systems.

Findings

The new fractal derivative has desirable mathematical properties.

Application to economic models shows improved modeling capabilities.

Comparison with Caputo derivative highlights advantages of the new operator.

Abstract

In this paper, we present a new fractal derivative with a nonsingular kernel and analyze its fundamental properties. The effectiveness of the proposed operator is illustrated through the study of economic models using both the Caputo fractal derivative and the new fractal derivative.