IMPULSIVE CONTROL PROBLEM GOVERNED BY FRACTIONAL DIFFERENTIAL EQUATIONS AND APPLICATIONS

TitleIMPULSIVE CONTROL PROBLEM GOVERNED BY FRACTIONAL DIFFERENTIAL EQUATIONS AND APPLICATIONS
Publication TypeJournal Article
Year of Publication2017
AuthorsMEDHIN N., SAMBANDHAM M.
JournalDynamic Systems and Applications
Volume26
Issue1
Start Page37
Pagination27
Date Published2017
ISSN1056-2176
Abstract

We consider an impulsive control problem governed by fractional differential equations for which we establish a set of necessary conditions. The results are applied to a model of an HIV-immune system with memory. The fact that fractional differential equations possess memory enhances their usefulness in the modeling effort. The objective of the control problem is to minimize the infectious viral load and count of infected CD4+T cells while using optimal level of dosage of anti-HIV drugs and optimal therapy. Simulation results are presented and discussed.

PDFhttps://acadsol.eu/dsa/articles/26/1/3.pdf
DOI10.12732/dsa.v26i1.3
Refereed DesignationRefereed