Abstract
Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equations x (a) (t)=f (t,x (t))+∫ t0tk (t,s,x (s))ds, 0<a ≤1, with the initial condition x (a-1) (t0)=x0, have been investigated. Our methods are applications of Gronwall's lemma and Schwartz inequality.
| Original language | English |
|---|---|
| Pages (from-to) | 2503-2507 |
| Number of pages | 5 |
| Journal | International Journal of Mathematics and Mathematical Sciences |
| Volume | 2004 |
| Issue number | 47 |
| DOIs | |
| State | Published - 2004 |
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