On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space

On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space

We provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term. As an example we consider a problem in population dyn...

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Main Authors: Irene Benedetti, Valeri Obukhovskii, Valentina Taddei
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/651359
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spelling doaj-9fbe5feee85942de93e247de6149eddb2020-11-24T22:43:57ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/651359651359On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach SpaceIrene Benedetti0Valeri Obukhovskii1Valentina Taddei2Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, 06123 Perugia, ItalyFaculty of Physics and Mathematics, Voronezh State Pedagogical University, Voronezh 394043, RussiaDipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, 41125 Modena, ItalyWe provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term. As an example we consider a problem in population dynamic described by an integro-partial-differential inclusion.http://dx.doi.org/10.1155/2015/651359
collection DOAJ
language English
format Article
sources DOAJ
author Irene Benedetti
Valeri Obukhovskii
Valentina Taddei
spellingShingle Irene Benedetti
Valeri Obukhovskii
Valentina Taddei
On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space
Journal of Function Spaces
author_facet Irene Benedetti
Valeri Obukhovskii
Valentina Taddei
author_sort Irene Benedetti
title On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space
title_short On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space
title_full On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space
title_fullStr On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space
title_full_unstemmed On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space
title_sort on noncompact fractional order differential inclusions with generalized boundary condition and impulses in a banach space
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2015-01-01
description We provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term. As an example we consider a problem in population dynamic described by an integro-partial-differential inclusion.
url http://dx.doi.org/10.1155/2015/651359
work_keys_str_mv AT irenebenedetti onnoncompactfractionalorderdifferentialinclusionswithgeneralizedboundaryconditionandimpulsesinabanachspace
AT valeriobukhovskii onnoncompactfractionalorderdifferentialinclusionswithgeneralizedboundaryconditionandimpulsesinabanachspace
AT valentinataddei onnoncompactfractionalorderdifferentialinclusionswithgeneralizedboundaryconditionandimpulsesinabanachspace
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