Finite-Time stability in nonhomogeneous delay differential equations of fractional Hilfer type

A Salem, R Babusail - Mathematics, 2022 - mdpi.com
In the current contribution, integral representations of the solutions of homogeneous and
nonhomogeneous delay differential equation of a fractional Hilfer derivative are established …

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 …

Hyers–Ulam Stability, Exponential Stability, and Relative Controllability of Non‐Singular Delay Difference Equations

S Moonsuwan, G Rahmat, A Ullah, MY Khan… - …, 2022 - Wiley Online Library
In this paper, we study the uniqueness and existence of the solutions of four types of non‐
singular delay difference equations by using the Banach contraction principles, fixed point …

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 …

Discrete matrix delayed exponential for two delays and its property

J Diblík, B Morávková - Advances in Difference Equations, 2013 - Springer
In recent papers, a discrete matrix delayed exponential for a single delay was defined and
its main property connected with the solution of linear discrete systems with a single delay …

Relatively exact controllability for higher-order fractional stochastic delay differential equations

J Huang, D Luo - Information Sciences, 2023 - Elsevier
In this paper, our main purpose is to study a class of higher-order fractional stochastic delay
differential equations (FSDDEs). We first define a more generalized delay Grammian matrix …

Convergence analysis for iterative learning control of impulsive linear discrete delay systems

X Jin, JR Wang, D Shen - Journal of Difference Equations and …, 2021 - Taylor & Francis
This paper addresses convergence of iterative learning control for impulsive linear discrete
delay systems with randomly varying trial lengths when coefficient matrices of systems are …

Exploring a new discrete delayed Mittag–Leffler matrix function to investigate finite‐time stability of Riemann–Liouville fractional‐order delay difference systems

F Du, JG Lu - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
In this paper, firstly, a new discrete delayed Mittag–Leffler matrix function is introduced,
which generalizes the existing discrete delayed exponential matrix function. Secondly …

A novel technique for solving Sobolev-type fractional multi-order evolution equations

NI Mahmudov, A Ahmadova, IT Huseynov - Computational and Applied …, 2022 - Springer
A strong inspiration for studying Sobolev-type fractional evolution equations comes from the
fact that have been verified to be useful tools in the modeling of many physical processes …

Representation of solutions of systems of linear differential equations with multiple delays and linear parts given by nonpermutable matrices

M Medved', M Pospíšil - Journal of Mathematical Sciences, 2018 - Springer
In recent results on representation of the solutions of systems of delayed differential
equations, the condition that the linear parts are given by pairwise permutable matrices was …