[HTML][HTML] New criterion for finite-time stability of fractional delay systems

F Du, JG Lu - Applied Mathematics Letters, 2020 - Elsevier
In this paper, a new fractional Gronwall inequality with time delay is developed. Based on
this inequality, a new criterion for finite-time stability of fractional delay systems is derived …

Finite-time stability of ABC type fractional delay difference equations

Y Chen, X Li, S Liu - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, finite-time stability of fractional delay difference equations with discrete Mittag-
Leffler kernel are studied. Firstly, we establish a new generalized Gronwall inequality in …

Finite-time stability of mild solution to time-delay fuzzy fractional differential systems under granular computing

NP Dong, NTK Son, T Allahviranloo, HTT Tam - Granular Computing, 2023 - Springer
In this work, based on the concept of the granular Caputo fractional derivative, a class of
fuzzy fractional differential systems with finite-time delay is investigated. We firstly introduce …

Finite-time stability analysis of linear differential systems with pure delay

AM Elshenhab, X Wang, O Bazighifan, J Awrejcewicz - Mathematics, 2022 - mdpi.com
Nonhomogeneous systems governed by second-order linear differential equations with pure
delay are considered. As an application, the exact solutions of these systems and their …

Finite-time stability analysis of fractional delay systems

AM Elshenhab, X Wang, C Cesarano, B Almarri… - Mathematics, 2022 - mdpi.com
Nonhomogeneous systems of fractional differential equations with pure delay are
considered. As an application, the representation of solutions of these systems and their …

Finite-time stability of multiterm fractional nonlinear systems with multistate time delay

G Arthi, N Brindha, YK Ma - Advances in Difference Equations, 2021 - Springer
This work is mainly concentrated on finite-time stability of multiterm fractional system for 0< α
2≤ 1< α 1≤ 2 0<α_2≦1<α_1≦2 with multistate time delay. Considering the Caputo …

[PDF][PDF] Existence of solutions to a class of fractional differential equations

A Sun, YH Su, JP Sun - J. Nonlinear. Model. Anal, 2022 - doc.global-sci.org
In this paper, the existence of solutions to a class of fractional differential equations Dα 0+ u
(t)= h (t) f (t, u (t), Dθ 0+ u (t)) is obtained by an efficient and simple monotone iteration …

[PDF][PDF] Finite-time stability and uniqueness theorem of solutions of nabla fractional -difference equations with non-Lipschitz and nonlinear conditions

M Wang, B Jia - AIMS Mathematics, 2024 - aimspress.com
In this paper, the discrete (q, h)-fractional Bihari inequality is generalized. On the grounds of
inequality, the finite-time stability and uniqueness theorem of solutions of (q, h)-fractional …

A Comparison of a Priori Estimates of the Solutions of a Linear Fractional System with Distributed Delays and Application to the Stability Analysis

H Kiskinov, M Veselinova, E Madamlieva, A Zahariev - Axioms, 2021 - mdpi.com
In this article, we consider a retarded linear fractional differential system with distributed
delays and Caputo type derivatives of incommensurate orders. For this system, several a …

Stability of Riemann–Hadamard Fractional Differential Nonlinear System with Delay Riemann− Katugampola

AS Sleibi, SQ Hasan - Journal of Kerbala University, 2024 - mail.journals.uokerbala.edu.iq
The purpose of this paper is to investigate the finite-time stability of a proposal problem
containing a Riemann-Hadamard fractional differential nonlinear control system with delay …