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- Title
On the Preservation with Respect to Nonlinear Perturbations of the Stability Property for Nonautonomous Linear Neutral Fractional Systems with Distributed Delays.
- Authors
Madamlieva, Ekaterina; Kiskinov, Hristo; Petkova, Milena; Zahariev, Andrey
- Abstract
In the present paper, sufficient conditions are obtained under which the Cauchy problem for a nonlinearly perturbed nonautonomous neutral fractional system with distributed delays and Caputo type derivatives has a unique solution in the case of initial functions with first-kind discontinuities. For this system, by applying a formula for the integral presentation of the solution of the nonhomogeneous linear neutral fractional system, we found some additional natural conditions to ensure that from the global asymptotically stability of the zero solution of the linear part of the nonlinearly perturbed system, global asymptotic stability of the zero solution of the whole nonlinearly perturbed system follows.
- Subjects
GLOBAL asymptotic stability; CAUCHY problem; DELAY differential equations; INTEGRAL representations
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 15, p2642
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10152642