Open AccessTrajectory Controllability of the Systems Governed by Hilfer Fractional Systems
Author(s) -
Vishant Shah
Publication year - 2021
Publication title -
ymer
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.103
H-Index - 5
ISSN - 0044-0477
DOI - 10.37896/ymer20.11/5
Subject(s) - controllability , mathematics , banach space , trajectory , semigroup , gronwall's inequality , nonlinear system , operator (biology) , partial differential equation , mathematical analysis , inequality , control theory (sociology) , computer science , physics , control (management) , biochemistry , chemistry , repressor , quantum mechanics , astronomy , transcription factor , gene , artificial intelligence
In this manuscript, we consider a nonlinear system governed by Hilfer fractional integro-differential equations in a Banach space. Using the concept of operator semigroup and Gronwall’s inequality, we have established the trajectory controllability of the integro-differential equation with local and non-local conditions. Finally, we have given an example to illustrate the application of the derived results