Properties on measure pseudo almost automorphic functions and applications to fractional differential equations in Banach spaces

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 t...

Szczegółowa specyfikacja

Opis bibliograficzny
Główni autorzy: Yong-Kui Chang, Tian-Wei Feng
Format: Artykuł
Język:English
Wydane: Texas State University 2018-02-01
Seria:Electronic Journal of Differential Equations
Hasła przedmiotowe:
Dostęp online:http://ejde.math.txstate.edu/Volumes/2018/47/abstr.html
Opis
Streszczenie: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.
ISSN:1072-6691