In this paper, a delayed fractional-order SIR (susceptible, infected, and removed) epidemic
model with saturated incidence and treatment functions is presented. Firstly, the non …

In this study, by using a characterisation of functions having a fractional derivative, the
authors propose a rigorous fractional Lyapunov function candidate method to analyse the …

In this paper, from the classical short memory principle under Grünwald-Letnikov definition,
several novel short memory principles are presented and investigated. On one hand, the …

This paper focuses on the fractional difference of Lyapunov functions related to Riemann–
Liouville, Caputo and Grünwald–Letnikov definitions. A new way of building Lyapunov …

This article examines a new measure of combining the vector Lyapunov function with-matrix
for settling the asymptotic stabilization control of fractional-order memristor-based neural …

This paper investigates the robust stability of fractional-order systems described in pseudo-
state space model with incommensurate fractional orders. An existing non-conservative …

This paper presents a novel stability criterion of the time-lag fractional-order gene regulation
network system (FGRNs) for stability analysis by means of Jensen inequality, Wirtinger …

This article aims to identify the topology and system parameter of fractional-order complex
dynamical networks. The unknown topology and system parameter of the drive network are …

In this article we present a generalization of the Lyapunov direct method for distributed order
nonlinear time-varying systems. By extending recently introduced properties of the Caputo …

This study delves into the origin, evolution, and practical applications of fractional difference
inequalities based on recent literature. The review provides an overview of existing …