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Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
Journal article   Peer reviewed

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

JinRong Wang, Ahmed Gamal Ibrahim and Michal Fečkan
Applied mathematics and computation, Vol.257, pp.103-118
15/04/2015
DOI: https://doi.org/10.1016/j.amc.2014.04.093

Abstract

Fractional sectorial operators Impulsive fractional differential inclusions Mild solutions Nonlocal conditions
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.

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