Journal
SYMMETRY-BASEL
Volume 13, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/sym13040566
Keywords
controllability problem; fractional differential inclusions; non-instantaneous impulsive; mild solutions
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Funding
- Scientific Research Deanship at University of Ha'il-Kingdom of Saudi Arabia [BA-2012]
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This study investigated the controllability of a semilinear multi-valued differential equation with non-instantaneous impulses of order alpha, where the linear part is a strongly continuous cosine family without compactness. Unlike previous literature, no compactness conditions were assumed on the semi-group, the multi-valued function, or the inverse of the controllability operator.
Herein, we investigated the controllability of a semilinear multi-valued differential equation with non-instantaneous impulses of order alpha is an element of(1,2), where the linear part is a strongly continuous cosine family without compactness. We did not assume any compactness conditions on either the semi-group, the multi-valued function, or the inverse of the controllability operator, which is different from the previous literature.
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