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Periodic solutions of fractional differential equations with delay

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Abstract

In this paper, we give a necessary and sufficient conditions for the existence and uniqueness of periodic solutions of inhomogeneous abstract fractional differential equations with delay. The conditions are obtained in terms of R-boundedness of operator-valued Fourier multipliers determined by the abstract model.

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Authors and Affiliations

  1. Departamento de Matemática, Facultad de Ciencias, Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago, Chile

    Carlos Lizama

  2. Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425, Santiago, Chile

    Verónica Poblete

Authors
  1. Carlos Lizama
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  2. Verónica Poblete
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Corresponding author

Correspondence to Carlos Lizama.

Additional information

The first author is partially supported by FONDECYT Grant 1100485.

The second author is partially financed by FONDECYT de Iniciación 11075046.

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Lizama, C., Poblete, V. Periodic solutions of fractional differential equations with delay. J. Evol. Equ. 11, 57–70 (2011). https://doi.org/10.1007/s00028-010-0081-z

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  • DOI: https://doi.org/10.1007/s00028-010-0081-z

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