Stability of scalar nonlinear fractional differential equations with linearly dominated delay
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
In this paper, we study the asymptotic behavior of solutions to a scalar fractional delay differential equations around the equilibrium points. More precise, we provide conditions on the coefficients under which a linear fractional delay equation is asymptotically stable and show that the asymptotic stability of the trivial solution is preserved under a small nonlinear Lipschitz perturbation of the fractional delay differential equation.
Details
| Original language | English |
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| Pages (from-to) | 250-267 |
| Number of pages | 18 |
| Journal | Fractional Calculus and Applied Analysis |
| Volume | 23 |
| Issue number | 1 |
| Publication status | Published - 1 Feb 2020 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0003-0967-6747/work/150327293 |
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Keywords
ASJC Scopus subject areas
Keywords
- asymptotic stability, characteristic function, scalar nonlinear fractional differential equations with delay, special functions