On generalized boundary value problems for a class of fractional differential inclusions-Reference-Cited by-同舟云学术

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

Published:2017-12-01 Issue:6 Volume:20 Page:1424-1446
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Benedetti Irene¹,Obukhovskii Valeri²³,Taddei Valentina⁴

Affiliation:

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

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

3. The RUDN University , 117198 Moscow , Russia

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

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0075/pdf

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