Controllability results of hilfer fractional differential inclusions with non-dense domain in abstract space

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

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.

Açıklama

Anahtar Kelimeler

Controllability, Semilinear differential inclusions, Fixed point theorem, Nondense domain

Kaynak

International Conference of Mathematical Sciences (ICMS 2019)

WoS Q Değeri

Scopus Q Değeri

Cilt

Sayı

Künye

Boudjerida, A., Seba, D. ve Laoubi, K. (2019). Controllability results of hilfer fractional differential inclusions with non-dense domain in abstract space. International Conference of Mathematical Sciences (ICMS 2019). s. 178.