Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces

JinRong Wang, Ahmed Gamal Ibrahim and Michal Fečkan

Applied Mathematics and Computation, 2015, vol. 257, issue C, 103-118

Abstract: This paper investigates existence of PC-mild solutions of impulsive fractional differential inclusions with nonlocal conditions when the linear part is a fractional sectorial operators like in Bajlekova (2001) [1] on Banach spaces. We derive two existence results of PC-mild solutions when the values of the semilinear term F is convex as well as another existence result when its values are nonconvex. Further, the compactness of the set of solutions is characterized.

Keywords: Impulsive fractional differential inclusions; Fractional sectorial operators; Nonlocal conditions; Mild solutions (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:103-118

DOI: 10.1016/j.amc.2014.04.093

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