Almost Automorphic Solutions to Abstract Fractional Differential Equations
نویسندگان
چکیده
Copyright q 2010 Hui-Sheng Ding et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation D α t ut Aut D α−1 t ft, ut 1 < α < 2, in complex Banach spaces, with Stepanov-like almost automorphic coefficients. Moreover, an application to a fractional relaxation-oscillation equation is given.
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