Research on Solutions of Fractional-Order Generalized Logistic Equation with Delay
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Research on Solutions of Fractional-Order Generalized Logistic Equation with Delay
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 53, Issue 2, Pages: 44-48(2014)
作者机构:
6579(2014)02-0044-05
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Published:2014,
Published Online:25 March 2014,
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YUAN Liguo. Research on Solutions of Fractional-Order Generalized Logistic Equation with Delay. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(2):44-48(2014)
DOI:
YUAN Liguo. Research on Solutions of Fractional-Order Generalized Logistic Equation with Delay. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(2):44-48(2014)DOI:
Research on Solutions of Fractional-Order Generalized Logistic Equation with Delay
Based on the Banach fixed point theorem and properties of differential and integral calculus of fractionalorder
the existence and uniqueness of solutions for the fractional-order generalized Logistic equation with delay are discussed. Some sufficient conditions for uniform stability of solutions are obtained. The numerical solution is obtained by the modified Adams-Bashforth-Moulton predictor-corrector scheme.
关键词
Caputo分数阶导数分数阶时滞Logistic方程Banach不动点定理存在唯一性
Keywords
fractional-order derivative of Caputofractional-order logistic equation with delayBanach's fixed point theoremexistence and uniqueness