Yong-Kui Chang, Tian-Wei Feng
In this article, we establish some new composition theorems on measure pseudo almost automorphic functions via measure theory. The obtained compositions theorems generalize those established under the well-known Lipschitz conditions or the classical uniformly continuous conditions. Then using the theories of resolvent operators and fixed point theorem, we investigate the existence and uniqueness of measure pseudo almost automorphic solutions to a fractional differential equation in Banach spaces.
Submitted January 3, 2018. Published February 15, 2018.
Math Subject Classifications: 34C27, 43A60, 34A08.
Key Words: Composition theorems; measure pseudo almost automorphic function; fractional differential equation.
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| Yong-Kui Chang |
School of Mathematics and Statistics
Xi'an 710071, China
| Tian-Wei Feng |
Department of Mathematics
Lanzhou Jiaotong University
Lanzhou 730070, China
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