## Journal of Integral Equations and Applications

### Compositions of pseudo almost automorphic functions via measure theory and applications

#### Abstract

In this paper, we establish some composition theorems of $\mu$-pseudo almost automorphic functions via measure theory, then derive sufficient conditions for the existence and uniqueness of pseudo almost automorphic mild solutions to fractional differential equations with Caputo derivatives.

#### Article information

Source
J. Integral Equations Applications, Volume 28, Number 2 (2016), 205-219.

Dates
First available in Project Euclid: 1 July 2016

https://projecteuclid.org/euclid.jiea/1467399275

Digital Object Identifier
doi:10.1216/JIE-2016-28-2-205

Mathematical Reviews number (MathSciNet)
MR3518483

Zentralblatt MATH identifier
1361.43004

#### Citation

Fan, Zhenbin; Dong, Qixiang; Li, Gang. Compositions of pseudo almost automorphic functions via measure theory and applications. J. Integral Equations Applications 28 (2016), no. 2, 205--219. doi:10.1216/JIE-2016-28-2-205. https://projecteuclid.org/euclid.jiea/1467399275

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