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Controllability results for nondensely defined impulsive fractional-order functional semilinear differential inclusions in abstract space
(Maltepe Üniversitesi, 2019) Boudjerida, Assia; Seba, Djamila; Laoubi, Karima
t. In this work, we prove the controllability result of integral solutions defined on a real compact interval for a class of impulsive functional differential inclusions with fractional order and nonlocal conditions, in the case when the linear part is a nondensely defined operator and satisfies the Hille-Yosida condition. The main tool is an appropriate fixed point theorem, integrated semigroup, and the known facts about fractional calculus.
Controllability results of hilfer fractional differential inclusions with non-dense domain in abstract space
(Maltepe Üniversitesi, 2019) Boudjerida, Assia; Seba, Djamila; Laoubi, Karima
The controllability is one of the basic concepts in modern mathematical control theory. In this regard, we will discuss in this paper existence and controllability results of integral solution defined on a real compact interval for fractional differential inclusions in the sense of Hilfer fractional derivative when the linear part is a non-densely defined operator and satisfies the Hille-Yosida condition. These results are investigated with the help of the known facts about fractional calculus, argument of fixed point theorem, concept of multi-valued map and integrated semigroup.