Fractional Order Heat Equation in Higher Space-Time Dimensions

TL;DR

This paper explores fractional order heat equations in higher dimensions, providing solutions and analyzing their implications for physical systems, highlighting the role of fractional heat flows across different dimensions.

Contribution

It introduces fractional solutions to heat equations in higher space-time dimensions and examines their implications, which is a novel extension of classical heat flow models.

Findings

Fractional heat solutions are derived for higher-dimensional systems.

Implications of fractional heat flows are analyzed in various limiting cases.

Potential applications in physical systems are discussed.

Abstract

In this paper, we study fractional order heat equation in higher space-time dimensions and offer specific role of heat flows in various fractional dimensions. We offer fractional solutions of the heat equations thus obtained, and examine the associated implications in various limiting cases. We anticipate perspective applications of fractional heat flow solutions in physical systems.