# A new fractional derivative involving the normalized sinc function without singular kernel

## TL;DR

This paper introduces a novel fractional derivative based on the normalized sinc function without singular kernel, and applies it to analyze anomalous heat-diffusion problems, providing analytical solutions and comparing with classical models.

## Contribution

The paper proposes a new fractional derivative involving the normalized sinc function without singular kernel and demonstrates its application to anomalous heat transfer analysis.

## Key findings

- Analytical solutions for anomalous heat-diffusion problems using the new derivative.
- Comparison shows differences between classical and fractional models.
- Results are significant for one-dimensional heat transfer analysis.

## Abstract

In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems.