Trace Formulas for a Conformable Fractional Diffusion Operator

TL;DR

This paper derives regularized trace formulas for a diffusion operator involving conformable fractional derivatives of order between 0 and 1, extending classical results to fractional calculus.

Contribution

It introduces trace formulas specifically for diffusion operators with conformable fractional derivatives, a novel extension in fractional differential operator analysis.

Findings

Derived explicit regularized trace formulas for conformable fractional diffusion operators.

Extended classical trace formulas to fractional derivatives of order 0<α≤1.

Provides mathematical foundation for spectral analysis of fractional diffusion processes.

Abstract

In this paper, the regularized trace formulas for a diffusion operator which include conformable fractional derivatives of order {\alpha} (0<{\alpha \leq 1}) is obtained.