A Study on Existence and Controllability of Conformable Impulsive Equations

Autor: Nazim I. Mahmudov, Gülbahar Akgün
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Axioms, Vol 12, Iss 8, p 787 (2023)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms12080787
Popis: We study the existence/uniqueness of conformable fractional type impulsive nonlinear systems as well as the controllability of linear/semilinear conformable fractional type impulsive controlled systems. Using the conformable fractional derivative approach, we introduce the conformable controllability operator and the conformable controllability Gramian matrix in order to obtain the necessary and sufficient conditions for the complete controllability of linear impulsive conformable systems. We present a set of sufficient conditions for the controllability of the conformable semilinear impulsive systems.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje