Z You, M Fečkan, JR Wang - Journal of Computational and Applied …, 2020 - Elsevier
This paper is concerned with the relative controllability of fractional delay systems in control for finite dimensional spaces. A notion of fractional delay Grammian matrix involving two …
Fractional differential equations have been studied due to their applications in modelling, and solved using various mathematical methods. Systems of fractional differential equations …
AM Elshenhab, XT Wang - Mathematical Methods in the …, 2021 - Wiley Online Library
Nonhomogeneous systems of linear fractional equations with pure delay and multiple delays with linear parts given by permutable or nonpermutable matrices are considered …
This paper is about the conformable fractional delay equations. We offer a conformable delay perturbation of matrix exponential function to give the representation of solutions for …
In this paper, we consider a Cauchy problem for a Caputo‐type time delay linear system of fractional differential equations with permutable matrices. First, we provide a new …
NI Mahmudov - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
In this paper, we introduce a multivariate determining function and propose a multi-delayed perturbation of Mittag-Leffler type matrix function. It is an extension of the classical Mittag …
The representation of a solution to a neutral linear fractional multiple-delay differential inhomogeneous system with non-commutative coefficient matrices is studied using a …
NI Mahmudov - Applied Mathematics Letters, 2020 - Elsevier
In this article, a delayed Mittag-Leffler type function is introduced. With the help of delayed Mittag-Leffler type functions, we give an explicit solution formula to linear non-homogeneous …
Langevin differential equations with fractional orders play a significant role due to their applications in vibration theory, viscoelasticity and electrical circuits. In this paper, we mainly …