Name
Title | ||
|---|---|---|
Lyapunov Functions And Lipschitz Stability For Riemann-Liouville Non-Instantaneous Impulsive Fractional Differential Equations |
Abstract | ||
|---|---|---|
In this paper a system of nonlinear Riemann-Liouville fractional differential equations with non-instantaneous impulses is studied. We consider a Riemann-Liouville fractional derivative with a changeable lower limit at each stop point of the action of the impulses. In this case the solution has a singularity at the initial time and any stop time point of the impulses. This leads to an appropriate definition of both the initial condition and the non-instantaneous impulsive conditions. A generalization of the classical Lipschitz stability is defined and studied for the given system. Two types of derivatives of the applied Lyapunov functions among the Riemann-Liouville fractional differential equations with non-instantaneous impulses are applied. Several sufficient conditions for the defined stability are obtained. Some comparison results are obtained. Several examples illustrate the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.3390/sym13040730 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
Riemann–, Liouville fractional derivative, differential equations, non-instantaneous impulses, Lipschitz stability in time, Lyapunov functions | Journal | 13 |
Issue | Citations | PageRank |
4 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ravi P. Agarwal | 1 | 522 | 114.94 |
| Snezhana G. Hristova | 2 | 0 | 1.01 |
| Donal O'Regan | 3 | 163 | 46.52 |