Fractional-like derivative of Lyapunov-type functions and applications to stability analysis of motion
| dc.contributor.author | Martynyuk, Anatoliy | |
| dc.contributor.author | Stamova, Ivanka | |
| dc.date.accessioned | 2022-01-24T19:46:15Z | |
| dc.date.available | 2022-01-24T19:46:15Z | |
| dc.date.issued | 2018-03-06 | |
| dc.description.abstract | This article discusses the application of a fractional-like derivative of Lyapunov-type functions in the stability analysis of solutions of perturbed motion equations with a fractional-like derivative of the state vector. The main theorems of the direct Lyapunov method for this class of motion equations are established. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Martynyuk, A. A., & Stamova, I. M. (2018). Fractional-like derivative of Lyapunov-type functions and applications to stability analysis of motion. <i>Electronic Journal of Differential Equations, 2018</i>(62), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15203 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fractional-like derivative | |
| dc.subject | Lyapunov method | |
| dc.subject | Stability | |
| dc.subject | Asymptotic stability | |
| dc.subject | Instability | |
| dc.title | Fractional-like derivative of Lyapunov-type functions and applications to stability analysis of motion | |
| dc.type | Article |