A Gronwall inequality and the Cauchy-type problem by means of -Hilfer operator

J Sousa, EC de Oliveira - arXiv preprint arXiv:1709.03634, 2017 - arxiv.org
In this paper, we propose a generalized Gronwall inequality through the fractional integral
with respect to another function. The Cauchy-type problem for a nonlinear differential …

Finite-time stability of fractional-order fuzzy cellular neural networks with time delays

F Du, JG Lu - Fuzzy Sets and Systems, 2022 - Elsevier
The finite-time stability of fractional-order fuzzy cellular neural networks with time delays is
investigated. One of the difficulties in stability analysis of fractional-order delayed systems …

Finite-time stability of neutral fractional order time delay systems with Lipschitz nonlinearities

F Du, JG Lu - Applied Mathematics and Computation, 2020 - Elsevier
This paper is concerned with finite-time stability of neutral fractional order time delay
systems with Lipschitz nonlinearities. By use of the method of steps and the generalized …

New criteria on finite-time stability of fractional-order Hopfield neural networks with time delays

F Du, JG Lu - IEEE Transactions on Neural Networks and …, 2020 - ieeexplore.ieee.org
In this article, the finite-time stability (FTS) of fractional-order Hopfield neural networks with
time delays (FHNNTDs) is studied. A widely used inequality in investigating the stability of …

Suboptimal control of fractional-order dynamic systems with delay argument

A Jajarmi, D Baleanu - Journal of Vibration and Control, 2018 - journals.sagepub.com
In this paper, an efficient linear programming formulation is proposed for a class of fractional-
order optimal control problems with delay argument. By means of the Lagrange multiplier in …

[HTML][HTML] On the uniqueness of solutions for a class of fractional differential equations

Y Zou, G He - Applied Mathematics Letters, 2017 - Elsevier
We are concerned with the uniqueness of solutions for the following nonlinear fractional
boundary value problem: D px (t)+ f (t, x (t))= 0, 2< p≤ 3, t∈(0, 1), x (0)= x′(0)= 0, x (1)= 0 …

Observer-based bipartite containment control of fractional multi-agent systems with mixed delays

R Yang, S Liu, X Li - Information Sciences, 2023 - Elsevier
This paper is concerned with observer-based bipartite containment control of nonlinear
fractional multi-agent systems (FMASs) with distributed and input delays. First, a follower …

[HTML][HTML] New criteria for finite-time stability of nonlinear fractional-order delay systems: A Gronwall inequality approach

VN Phat, NT Thanh - Applied Mathematics Letters, 2018 - Elsevier
This paper investigates robust finite-time stability problem of fractional-order systems (FOSs)
with time-varying delay and nonlinear perturbation. Based on a generalized Gronwall …

New approach to finite-time stability for fractional-order BAM neural networks with discrete and distributed delays

F Du, JG Lu - Chaos, Solitons & Fractals, 2021 - Elsevier
The finite-time stability (FTS) for fractional-order bidirectional associative memory neural
networks (FOBAMNNs) with discrete and distributed delays is investigated in this article …

New criteria for finite-time stability of fractional order memristor-based neural networks with time delays

F Du, JG Lu - Neurocomputing, 2021 - Elsevier
In this paper, the finite-time stability (FTS) problems for a class of fractional order memristor-
based neural network (FOMNN) with time delays are investigated. Based on the method of …