A Study on Existence and Controllability of Conformable Impulsive Equations-Reference-Cited by-同舟云学术

A Study on Existence and Controllability of Conformable Impulsive Equations

Published:2023-08-14 Issue:8 Volume:12 Page:787
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Mahmudov Nazim I.¹²^ORCID,Akgün Gülbahar¹

Affiliation:

1. Department of Mathematics, Eastern Mediterranean University, North Cyprus, Famagusta 99628, Turkey

2. Research Center of Econophysics, Azerbaijan State University of Economics (UNEC), Istiqlaliyyat Str. 6, Baku 1001, Azerbaijan

Abstract

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/8/787/pdf

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