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Mathematical Communications, Vol. 20 No. 1, 2015.

Original scientific paper

Pseudo almost automorphic behavior of solutions to a semi-linear fractional differential equation

Yong-Kui Chang ; School of Mathematics and Statistics, Xidian Univeristy, Xi'an, P. R. China
Xiao-Xia Luo ; Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, P. R. China

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Abstract

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.

Keywords

fractional differential equation; $\mu$-pseudo almost automorphic function; composition theorems; Leray-Schauder alternative theorem

Hrčak ID:

140387

URI

https://hrcak.srce.hr/140387

Publication date:

1.7.2015.

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