Departmental Bulletin Paper 不動点定理とα階常微分方程式の解の存在と一意性
Fixed point theorems and existence and uniqueness of solutions for α-th order ordinary differential equations

豊田, 昌史

2016 ( 51 )  , pp.61 - 65 , 2016-03-31
ISSN:0371-5981
NCID:AN00139868
Description
In this paper, initial value problems of fractional differential equations are discussed. We obtain the existence and uniqueness of solutions for the problems. Two proofs are given. In the _rst proof, we don't use any _xed point theorems. In the second proof, we use the _xed point theorem for contraction mappings.
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