Open Access
2016 Compositions of pseudo almost automorphic functions via measure theory and applications
Zhenbin Fan, Qixiang Dong, Gang Li
J. Integral Equations Applications 28(2): 205-219 (2016). DOI: 10.1216/JIE-2016-28-2-205

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.

Citation

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Zhenbin Fan. Qixiang Dong. Gang Li. "Compositions of pseudo almost automorphic functions via measure theory and applications." J. Integral Equations Applications 28 (2) 205 - 219, 2016. https://doi.org/10.1216/JIE-2016-28-2-205

Information

Published: 2016
First available in Project Euclid: 1 July 2016

zbMATH: 1361.43004
MathSciNet: MR3518483
Digital Object Identifier: 10.1216/JIE-2016-28-2-205

Subjects:
Primary: 43A60 , 45N05 , 47D60

Keywords: composition , mild solution , Pseudo almost automorphic

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

Vol.28 • No. 2 • 2016
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