New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model

TL;DR

This paper introduces a novel fractional derivative with nonlocal and non-singular kernel, explores its properties, and applies it to solve a heat transfer model, advancing fractional calculus methods in thermal analysis.

Contribution

It proposes a new fractional derivative with unique properties and demonstrates its application to heat transfer problems, which is a novel approach in fractional calculus.

Findings

The new derivative has useful mathematical properties.

It effectively models heat transfer phenomena.

The approach improves existing fractional modeling techniques.

Abstract

In this manuscript we proposed a new fractional derivative with non-local and no-singular kernel. We presented some useful properties of the new derivative and applied it to solve the fractional heat transfer model.