Analysis and simulation of fractional-order diabetes model
| dc.contributor.author | Ahmad, Aqeel | |
| dc.contributor.author | Farman, Muhammad | |
| dc.contributor.author | Akgül, Ali | |
| dc.date.accessioned | 2024-12-24T19:10:20Z | |
| dc.date.available | 2024-12-24T19:10:20Z | |
| dc.date.issued | 2020 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | In this article, we research the diabetes model and its consequences using the Caputo and Atangana Baleanu fractional derivatives. A deterministic mathematical model is corresponding to the fractional derivative of diabetes mellitus. The Laplace transformation is used for the diagnostic structure of the diabetes model. Picard-Lindelof 's method shows the existence and uniqueness of the solution. Finally, numerical simulations are made to illustrate the effects of changing the fractional-order to obtain the theoretical results, and comparisons are made for the Caputo and Atangana Baleanu derivative. The results of the following work by controlling plasma glucose with the fractional-order model make it a suitable candidate for controlling human type 1 diabetes. © 2020, Erdal Karapinar. All rights reserved. | |
| dc.identifier.doi | 10.31197/atnaa.778506 | |
| dc.identifier.endpage | 497 | |
| dc.identifier.issn | 2587-2648 | |
| dc.identifier.issue | 4 | |
| dc.identifier.scopus | 2-s2.0-85099315838 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 483 | |
| dc.identifier.uri | https://doi.org10.31197/atnaa.778506 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/4058 | |
| dc.identifier.volume | 4 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Erdal Karapinar | |
| dc.relation.ispartof | Advances in the Theory of Nonlinear Analysis and its Applications | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | ABC derivative | |
| dc.subject | Fixed point theorem | |
| dc.subject | Fractional order glucose insulin system | |
| dc.subject | Picardas lindelof approach | |
| dc.subject | Stability | |
| dc.title | Analysis and simulation of fractional-order diabetes model | |
| dc.type | Article |
