| publication name | On the fractional-order logistic equation with two different delays |
|---|---|
| Authors | AMA El-Sayed, Hala AA El-Saka,Esam M El-Maghrabi (E. Awwad) |
| year | 2011 |
| keywords | |
| journal | |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
The fractional-order logistic equation with the two different delays r1, r2> 0, D α x (t)= ρx (t− r1)[1− x (t− r2)], t> 0 and ρ> 0, with the initial data x (t)= x0, t≤ 0 are considered. The existence of a unique uniformly stable solution is studied and the Adams-type predictor- corrector method is applied to obtain the numerical solution. Key words: Logistic Delay Equation; Fractional-Order Differential Equations; Stability; Existence; Uniqueness; Numerical Solution; Predictor-Corrector Method.