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

Autor: Yong-Kui Chang, Tian-Wei Feng
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2018, Iss 47,, Pp 1-14 (2018)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
Databáze: Directory of Open Access Journals