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Asymptotic Behavior of Mild Solutions to Semilinear Fractional Differential Equations

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Abstract

This paper is mainly concerned with the asymptotically almost automorphic mild solutions to a semilinear fractional differential equation. Some asymptotic behavior of mild solutions to this equation has been established by properties and composition theorems of asymptotically almost automorphic functions and fixed point theorems.

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Acknowledgements

The second author was supported by NSF of China (10901075), NCET-10-0022, the Key Project of Chinese Ministry of Education (210226), and NSF of Gansu Province of China (1107RJZA091).

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Authors and Affiliations

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, 730070, P.R. China

    J. Q. Zhao & Y. K. Chang

  2. Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD, 21251, USA

    G. M. N’Guérékata

Authors
  1. J. Q. Zhao
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  2. Y. K. Chang
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  3. G. M. N’Guérékata
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Correspondence to Y. K. Chang.

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Zhao, J.Q., Chang, Y.K. & N’Guérékata, G.M. Asymptotic Behavior of Mild Solutions to Semilinear Fractional Differential Equations. J Optim Theory Appl 156, 106–114 (2013). https://doi.org/10.1007/s10957-012-0202-7

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  • DOI: https://doi.org/10.1007/s10957-012-0202-7

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