摘要
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。
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.
出处
《滨州学院学报》
2015年第2期11-17,共7页
Journal of Binzhou University
基金
国家自然科学基金资助项目(11361032)
关键词
μ
伪概自守函数
分数阶微分方程
不动点定理
μ pseudo almost automorphic functions
fractional differential equation
fixed point the-orems
