A numerical scheme for fractional order mortgage model of economics

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dc.contributor.authorHafsa Naz
dc.contributor.authorThongchai Dumrongpokaphan
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorHussam Alrabaiah
dc.contributor.authorKhursheed J. Ansari
dc.contributor.correspondenceT. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:34:44Z
dc.date.available2025-03-10T07:34:44Z
dc.date.issued2023
dc.description.abstractIn this article, the famous mortgage model of economics is investigated by developing a numerical scheme. The considered model is proposed under the Caputo power law derivative of fractional order. Further, in the considered model by utilizing the time esteem of cash rule, we build up break even with vital and interest mortgage model that gives quickest installment plan with the least interest rate. The proposed scheme is based on some operational matrices of integration and differentiation of fractional order. For the required operational matrices, we use shifted Legendre polynomials. With the help of the operational matrices, we establish a numerical algorithm to convert the considered model to a system of Lyapunov matrix equation. By using Matlab, we then solve the resultant algebraic equation to get the required solution in numerical form. Further, we plot the approximate solution for various fractional order graphically. © 2023
dc.identifier.citationResults in Applied Mathematics
dc.identifier.doi10.1016/j.rinam.2023.100367
dc.identifier.issn25900374
dc.identifier.scopus2-s2.0-85151290007
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4537
dc.languageEnglish
dc.publisherElsevier B.V.
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectFractional-order differential equations
dc.subjectMortgage model
dc.subjectOperational matrices
dc.subjectShifted Legendre polynomials
dc.titleA numerical scheme for fractional order mortgage model of economics
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85151290007&doi=10.1016%2fj.rinam.2023.100367&partnerID=40&md5=bace91f23fbd8ea4a93e25ed1729848c
oaire.citation.volume18
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