Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models

• 作者: Masashi Toyoda Toshiharu Kawasaki
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Fixed Point Theorem Ordinary DIFFERENTIAL EQUATION Delay DIFFERENTIAL EQUATION FRACTIONAL DIFFERENTIAL EQUATION FRACTIONAL CHAOS NEURON Model
• 年，卷（期）: 2015,（13）
• 页码范围: 2192-2198
• 页数: 7页
• 分类号: O1

摘要

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.