Time Fractional Formalism: Classical and Quantum Phenomena

TL;DR

This paper reviews how time fractional formalism can describe classical and quantum phenomena, emphasizing its usefulness for systems with memory and delay, and aims to deepen understanding of fractional derivatives in physics.

Contribution

It provides a comprehensive overview of the application of time fractional formalism to classical and quantum systems, highlighting its interpretative significance.

Findings

Time fractional formalism effectively models systems with memory and delay.

The study offers insights into the physical interpretation of fractional derivatives.

It bridges classical and quantum phenomena through fractional calculus.

Abstract

In this review, we present some fundamental classical and quantum phenomena in view of time fractional formalism. Time fractional formalism is a very useful tool in describing systems with memory and delay. We hope that this study can provide a deeper understanding of the physical interpretations of fractional derivative.