Applications of local fractional calculus to engineering in fractal time-space: Local fractional differential equations with local fractional derivative

TL;DR

This paper introduces a novel approach using local fractional calculus to model engineering problems in fractal-time space, demonstrating how to establish governing equations with local fractional derivatives through illustrative examples.

Contribution

It presents a new method for modeling engineering problems in fractal-time space using local fractional calculus and derivatives.

Findings

Established governing equations with local fractional derivatives.

Provided illustrative examples demonstrating the approach.

Enhanced modeling techniques for fractal-time engineering problems.

Abstract

This paper presents a better approach to model an engineering problem in fractal-time space based on local fractional calculus. Some examples are given to elucidate to establish governing equations with local fractional derivative.