Departmental Bulletin Paper 有界連続写像全体からなる空間における不動点定理とそのニューロンモデルに関係する微分方程式への適用例
Fixed point theorem in the space of all bounded continuous mappings and its applied example to differential equations related with a neuron model

川崎, 敏治  ,  佐々木, 寛  ,  豊田, 昌史

玉川大学工学部紀要
2015 ( 50 )  , pp.79 - 86 , 2015-03-31
ISSN:0371-5981
NCID:AN00139868
Description
In this paper, we show a fixed point theorem in the space of all bounded continuous mappings. Moreover we consider the existence of a unique solution for fractional differential equations with multiple delays. Using the existence theorem, we discuss a fractional chaos neuron model.
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