Staff Members - Benha University
On the fractional-order logistic equation with two different delays
• 2011
Publication Information
Authors
AMA El-Sayed, Hala AA El-Saka,Esam M El-Maghrabi (E. Awwad)
Keywords
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Journal
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publication.type
International
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Supplementary Materials
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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.
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.