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On generalized boundary value problems for a class of fractional differential inclusions

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Abstract

We prove existence of mild solutions to a class of semilinear fractional differential inclusions with non local conditions in a reflexive Banach space. We are able to avoid any kind of compactness assumptions both on the nonlinear term and on the semigroup generated by the linear part. We apply the obtained theoretical results to two diffusion models described by parabolic partial integro-differential inclusions.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, I–06123, Perugia, Italy

    Irene Benedetti

  2. Faculty of Physics and Mathematics, Voronezh State Pedagogical University, 394043, Voronezh, Russia

    Valeri Obukhovskii

  3. The RUDN University, 117198, Moscow, Russia

    Valeri Obukhovskii

  4. Dipartimento di Scienze e Metodi per l’Ingegneria, Università di Modena e Reggio Emilia, I–42122, Reggio Emilia, Italy

    Valentina Taddei

Authors
  1. Irene Benedetti
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  2. Valeri Obukhovskii
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  3. Valentina Taddei
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Correspondence to Irene Benedetti.

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Benedetti, I., Obukhovskii, V. & Taddei, V. On generalized boundary value problems for a class of fractional differential inclusions. FCAA 20, 1424–1446 (2017). https://doi.org/10.1515/fca-2017-0075

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