On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space. (30th March 2015)

• Record Type: Journal Article
• Authors: Benedetti, Irene; Obukhovskii, Valeri; Taddei, Valentina
• Other Names: Petrusel Adrian Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-03-30
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/651359
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.