滨州学院学报
濱州學院學報
빈주학원학보
JOURNAL OF BINZHOU UNIVERSITY
2015年
2期
11-17
,共7页
μ 伪概自守函数%分数阶微分方程%不动点定理
μ 偽概自守函數%分數階微分方程%不動點定理
μ 위개자수함수%분수계미분방정%불동점정리
μ pseudo almost automorphic functions%fractional differential equation%fixed point the-orems
根据α预解算子族和μ伪概自守函数的相关性质，利用其函数空间的完备性以及相应的组合定理，研究在 Banach 空间上一类半线性分数阶微分方程μ伪概自守解的存在性。
根據α預解算子族和μ偽概自守函數的相關性質，利用其函數空間的完備性以及相應的組閤定理，研究在 Banach 空間上一類半線性分數階微分方程μ偽概自守解的存在性。
근거α예해산자족화μ위개자수함수적상관성질，이용기함수공간적완비성이급상응적조합정리，연구재 Banach 공간상일류반선성분수계미분방정μ위개자수해적존재성。
In this paper,the existence ofμ pseudo almost automorphic solutions to a semilinear frac-tional differential equation is primarily studied in Banach space.The main results are based upon the properties of α resolvent families and the theory of μ pseudo almost automorphic functions in combi-nation with fixed point theorem and contraction mapping theorem.
