Pseudo almost automorphic behavior of solutions to a semi-linear fractional differential equation∗
نویسندگان
چکیده
In this paper, we shall deal with μ-pseudo almost automorphic solutions to a semi-linear fractional differential equation by a new concept of μ-pseudo almost automorphic functions presented recently. First we establish some new properties of μ-pseudo almost automorphic functions, and then apply the obtained results to prove some existence theorems combined with the Leray-Schauder alternative theorem. AMS subject classifications: 34B15, 43A60, 34G20, 47A55
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