dc.contributor.author | Wang, JinRong | |
dc.contributor.author | Ibrahim, AG | |
dc.contributor.author | O’Regan, D | |
dc.contributor.author | Zhou, Yong | |
dc.date.accessioned | 2018-09-20T16:28:06Z | |
dc.date.available | 2018-09-20T16:28:06Z | |
dc.date.issued | 2017-09-15 | |
dc.identifier.citation | Wang, JinRong; Ibrahim, AG; O’Regan, D; Zhou, Yong (2017). A general class of noninstantaneous impulsive fractional differential inclusions in banach spaces. Advances in Difference Equations , | |
dc.identifier.issn | 1687-1847 | |
dc.identifier.uri | http://hdl.handle.net/10379/14367 | |
dc.description.abstract | In this paper we introduce the concept of a PC-mild solution to a general new class of noninstantaneous impulsive fractional differential inclusions involving the generalized Caputo derivative with the lower bound at zero in infinite dimensional Banach spaces. Using the formula of a PC-mild solution, we give two classes of sufficient conditions to guarantee the existence of PC-mild solutions via fixed point theorems for multivalued functions. Also we characterize the compactness of the solution set. We introduce the concept of generalized Ulam-Hyers stability and present a generalized Ulam-Hyers stability result using multivalued weakly Picard operator theory. Examples are given to illustrate the theoretical results. | |
dc.publisher | Springer Nature | |
dc.relation.ispartof | Advances in Difference Equations | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | noninstantaneous impulsive | |
dc.subject | fractional differential inclusions | |
dc.subject | multivalued functions | |
dc.subject | measure of noncompactness | |
dc.subject | compactness of solutions set | |
dc.subject | ulam-hyers stability | |
dc.subject | non-instantaneous impulses | |
dc.subject | evolution-equations | |
dc.subject | mild solutions | |
dc.subject | nonlocal conditions | |
dc.subject | existence | |
dc.subject | stability | |
dc.subject | systems | |
dc.subject | controllability | |
dc.subject | operators | |
dc.title | A general class of noninstantaneous impulsive fractional differential inclusions in banach spaces | |
dc.type | Article | |
dc.identifier.doi | 10.1186/s13662-017-1342-8 | |
dc.local.publishedsource | https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-017-1342-8?site=advancesindifferenceequations.springeropen.com | |
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