Pseudo almost automorphic behavior of solutions to a semi-linear fractional differential equation
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
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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)