Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds
| dc.contributor.author | Stamov, Gani | |
| dc.contributor.author | Martynyuk, Anatoliy | |
| dc.contributor.author | Stamova, Ivanka | |
| dc.date.accessioned | 2021-04-19T15:17:07Z | |
| dc.date.available | 2021-04-19T15:17:07Z | |
| dc.date.issued | 2019-11-07 | |
| dc.date.updated | 2021-04-19T15:17:08Z | |
| dc.description.abstract | In this paper, an impulsive fractional-like system of differential equations is introduced. The notions of practical stability and boundedness with respect to h-manifolds for fractional-like differential equations are generalized to the impulsive case. For the first time in the literature, Lyapunov-like functions and their derivatives with respect to impulsive fractional-like systems are defined. As an application, an impulsive fractional-like system of Lotka–Volterra equations is considered and new criteria for practical exponential stability are proposed. In addition, the uncertain case is also investigated. | |
| dc.description.department | Mathematics | |
| dc.identifier | doi: 10.3390/fractalfract3040050 | |
| dc.identifier.citation | Fractal and Fractional 3 (4): 50 (2019) | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12588/466 | |
| dc.rights | Attribution 4.0 United States | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | fractional-like derivative | |
| dc.subject | impulses | |
| dc.subject | practical stability | |
| dc.subject | boundedness | |
| dc.subject | h-manifolds | |
| dc.title | Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds | |
| dc.type | Article |