Some new applications for heat and fluid flows via fractional derivatives without singular kernel

TL;DR

This paper explores new mathematical models for heat conduction and fluid flow using fractional derivatives without singular kernels, aiming to improve the understanding and simulation of these physical processes.

Contribution

It introduces novel fractional derivative models without singular kernels for heat and fluid flow equations, expanding the mathematical tools available for these phenomena.

Findings

New fractional derivative models developed

Potential for more accurate simulations of heat and fluid flows

Foundation for further research in fractional calculus applications

Abstract

This paper addresses the mathematical models for the heat-conduction equations and the Navier-Stokes equations via fractional derivatives without singular kernel.