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Dr. Essam Mohsen Abdel Hameed Awwad :: Publications: |
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| Title: | 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: | Not Available |
| Journal: | Not Available |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Essam Mohsen Abdel Hameed Awwad_On the Fractional-Order Logistic Equation with Two Different Delays.pdf |
| 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. |
