Author(s)

Toshiharu Kawasaki, Masashi Toyoda

Faculty of Engineering, Tamagawa University, Tokyo, Japan.

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.

Fixed Point Theorem, Ordinary Differential Equation, Delay Differential Equation, Fractional Differential Equation, Fractional Chaos Neuron Model

Kawasaki, T. and Toyoda, M. (2015) Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models. Applied Mathematics, 6, 2192-2198. doi: 10.4236/am.2015.613192.