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Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models
Faculty of Engineering, Tamagawa University, Tokyo, Japan
Faculty of Engineering, Tamagawa University, Tokyo, Japan
- 1 Faculty of Engineering, Tamagawa University, Tokyo, Japan
- 2 Faculty of Engineering, Tamagawa University, Tokyo, Japan
Applied Mathematics·Volume 06 (2015)·Pages 2192–2198·Published 30 November 2015·DOI10.4236/am.2015.613192
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Abstract
In this paper, we show a fixed point theorem which deduces to both of Lou’s fixed point theorem and de Pascale and de Pascale’s fixed point theorem. Moreover, our result can be applied to show the existence and uniqueness of solutions for fractional differential equations with multiple delays. Using the theorem, we discuss the fractional chaos neuron model.
KeywordsFixed Point TheoremOrdinary Differential EquationDelay Differential EquationFractional Differential EquationFractional Chaos Neuron Model
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