{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:47:17Z","timestamp":1772293637082,"version":"3.50.1"},"reference-count":21,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2017,5,2]],"date-time":"2017-05-02T00:00:00Z","timestamp":1493683200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research at King Saud University","award":["PRG-1437-35"],"award-info":[{"award-number":["PRG-1437-35"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In the present paper, we use analytical techniques to solve fractional nonlinear differential equations systems that arise in Bergman\u2019s minimal model, used to describe blood glucose and insulin metabolism, after intravenous tolerance testing. We also discuss the stability and uniqueness of the solution.<\/jats:p>","DOI":"10.3390\/e19050114","type":"journal-article","created":{"date-parts":[[2017,5,2]],"date-time":"2017-05-02T11:37:20Z","timestamp":1493725040000},"page":"114","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["The Solution of Modified Fractional Bergman\u2019s Minimal Blood Glucose-Insulin Model"],"prefix":"10.3390","volume":"19","author":[{"given":"Badr","family":"Alkahtani","sequence":"first","affiliation":[{"name":"Mathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Obaid","family":"Algahtani","sequence":"additional","affiliation":[{"name":"Mathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ravi","family":"Dubey","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yagyavalkya Institute of Technology, Jaipur 302035, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1205-1975","authenticated-orcid":false,"given":"Pranay","family":"Goswami","sequence":"additional","affiliation":[{"name":"School of Liberal Studies, Ambedkar University Delhi, Delhi 110006, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,5,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/S0006-3495(91)82030-6","article-title":"Model of platelet transport in flowing blood with drift and diffusion terms, extended platelet transport equation","volume":"60","author":"Eckstein","year":"1991","journal-title":"Biophys. 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