Title | IMPULSIVE CONTROL PROBLEM GOVERNED BY FRACTIONAL DIFFERENTIAL EQUATIONS AND APPLICATIONS |
Publication Type | Journal Article |
Year of Publication | 2017 |
Authors | MEDHIN N., SAMBANDHAM M. |
Journal | Dynamic Systems and Applications |
Volume | 26 |
Issue | 1 |
Start Page | 37 |
Pagination | 27 |
Date Published | 2017 |
ISSN | 1056-2176 |
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. |
https://acadsol.eu/dsa/articles/26/1/3.pdf | |
DOI | 10.12732/dsa.v26i1.3 |
Refereed Designation | Refereed |