Investigation of fractional order covid-19 model with q-homotopy analysis transform method

Erişim
info:eu-repo/semantics/openAccessTarih
2025Erişim
info:eu-repo/semantics/openAccessÜst veri
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Scopus EXPORT DATE: 16 July 2025 @ARTICLE{Merdan2025582, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-105002735775&doi=10.14744%2fsigma.2025.00046&partnerID=40&md5=4855c1692e63466c4802eaae145d95b2}, affiliations = {Department of Mathematical Engineering, Gümüşhane University, Gümüşhane, 29100, Turkey}, correspondence_address = {M. Merdan; Department of Mathematical Engineering, Gümüşhane University, Gümüşhane, 29100, Turkey; email: mehmetmerdan@gmail.com}, publisher = {Yildiz Technical University}, issn = {13047191}, language = {English}, abbrev_source_title = {Sigma. J. Eng. Nat. Sci.} }Özet
The primary objective of this paper is to derive approximate analytic solutions for the time fractional-order Covid-19 model by employing the q-homotopy analysis transform method (q-HATM) and the Laplace transform homotopy perturbation method (LT-HPM). The covid 19 model is a system of five-dimensional nonlinear ordinary differential equations. Moreover, this method applies even to more complex partial differential equations originating from mathematical biology, demonstrating computational efficiency and wide application. In this study, Caputo fractional derivative is used to obtain the fractional system and Laplace transformation is applied to analyze the approximate solutions of the system. Graphical results are presented and discussed quantitatively to illustrate the approximate solution. Copyright 2021, Yıldız Technical University.
Bağlantı
https://www.scopus.com/pages/publications/105002735775https://hdl.handle.net/20.500.12440/6532