In this paper, we shall deal with $\mu$-pseudo almost automorphic solutions to a semi-linear fractional differential equation by new concept of $\mu$-pseudo almost automorphic functions presented recently. We first establish some new properties of $\mu$-pseudo almost automorphic functions, and then we apply the results obtained to prove some existence theorems combined with the Leray-Schauder alternative theorem.
Publié le : 2015-05-26
Classification:
fractional differential equation, $\mu$-pseudo almost automorphic function, composition theorems, Leray-Schauder alternative theorem,
34B15; 43A60; 34G20; 47A55
@article{mc670,
author = {Chang, Yong-Kui and Luo, Xiao-Xia},
title = {Pseudo almost automorphic behavior of solutions to a semi-linear fractional differential equation},
journal = {Mathematical Communications},
volume = {20},
number = {1},
year = {2015},
pages = { 53-68},
language = {eng},
url = {http://dml.mathdoc.fr/item/mc670}
}
Chang, Yong-Kui; Luo, Xiao-Xia. Pseudo almost automorphic behavior of solutions to a semi-linear fractional differential equation. Mathematical Communications, Tome 20 (2015) no. 1, pp. 53-68. http://gdmltest.u-ga.fr/item/mc670/