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.
On noncompact fractional order differential inclusions with generalized boundary condition and impulses in a Banach space / Benedetti, Irene; Obukovskii, Valeri; Taddei, Valentina. - In: JOURNAL OF FUNCTION SPACES. - ISSN 2314-8896. - STAMPA. - 2015:(2015), pp. 1-10. [10.1155/2015/651359]
On noncompact fractional order differential inclusions with generalized boundary condition and impulses in a Banach space
TADDEI, Valentina
2015
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.
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