Back to Search Start Over

Controllability of Impulsive ψ-Caputo Fractional Evolution Equations with Nonlocal Conditions

Authors :
Longfei Lin
Yansheng Liu
Daliang Zhao
Source :
Mathematics, Vol 9, Iss 12, p 1358 (2021)
Publication Year :
2021
Publisher :
MDPI AG, 2021.

Abstract

This paper is mainly concerned with the exact controllability for a class of impulsive ψ-Caputo fractional evolution equations with nonlocal conditions. First, by generalized Laplace transforms, a mild solution for considered problems is introduced. Next, by the Mönch fixed point theorem, the exact controllability result for the considered systems is obtained under some suitable assumptions. Finally, an example is given to support the validity of the main results.

Details

Language :
English
ISSN :
22277390
Volume :
9
Issue :
12
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.10074c714eff495ca87623cf2a30fbad
Document Type :
article
Full Text :
https://doi.org/10.3390/math9121358