Analytical Solution and Stability of Ψ -Prabhakar Delayed Systems: Application to Antibiotic Production
| dc.contributor.author | Aydın, Mustafa | |
| dc.date.accessioned | 2025-09-03T16:37:00Z | |
| dc.date.available | 2025-09-03T16:37:00Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.description.abstract | The analytical solution of the linear ψ -Prabhakar delay differential equations is explored using the method of variation of parameters, in which a ψ -general delayed exponential matrix function is introduced. The ψ -Prabhakar calculus is enhanced in terms of the semi-group property, inversion results, and several simplified calculations and relations. The system’s stability is analyzed within the framework of Ulam-Hyers stability. Finally, the theoretical findings are validated through an application to antibiotic production. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.55730/1300-0098.3602 | |
| dc.identifier.endpage | 490 | en_US |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 472 | en_US |
| dc.identifier.trdizinid | 1336701 | |
| dc.identifier.uri | https://doi.org/10.55730/1300-0098.3602 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/en/yayin/detay/1336701/analytical-solution-and-stability-of-ps-prabhakar-delayed-systems-application-to-antibiotic-production | |
| dc.identifier.volume | 49 | en_US |
| dc.identifier.wos | WOS:001541678600006 | |
| dc.identifier.wosquality | Q2 | |
| dc.institutionauthor | Aydın, Mustafa | |
| dc.language.iso | en | en_US |
| dc.publisher | Tubitak Scientific & Technological Research Council Turkey | en_US |
| dc.relation.ispartof | Turkish Journal of Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Psi-Prabhakar Derivative | en_US |
| dc.subject | Time-Delay | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.subject | Antibiotic Production | en_US |
| dc.title | Analytical Solution and Stability of Ψ -Prabhakar Delayed Systems: Application to Antibiotic Production | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |