Some Results on the Solutions of Caputo Fractional Linear Time-Invariant Systems of any order with Internal Point Delays

TL;DR

This paper investigates the nonnegative solutions, stability, and asymptotic behavior of fractional differential systems with internal point delays, providing delay-independent results.

Contribution

It introduces new delay-independent stability and solution properties for Caputo fractional LTI systems with internal point delays.

Findings

Solutions are nonnegative under certain conditions.

Stability results do not depend on delay sizes.

Asymptotic properties are characterized independently of delays.

Abstract

This paper is devoted to the investigation of the nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic systems involving delayed dynamics with point delays. The obtained results are independent of the sizes of the delays.