New solutions of fractional 4D chaotic financial model with optimal control via He-Laplace algorithm

Basit Öğe Kaydı
dc.authoridSaeed, Dr. Syed Tauseef/0000-0002-0971-8364
dc.authoridSaeed, Syed Tauseef/0009-0001-4221-052X
dc.authoridQayyum, Mubashir/0000-0002-6701-5640
dc.contributor.authorQayyum, Mubashir
dc.contributor.authorAhmad, Efaza
dc.contributor.authorSaeed, Syed Tauseef
dc.contributor.authorAkgul, Ali
dc.contributor.authorDin, Sayed M. El
dc.date.accessioned2024-12-24T19:25:20Z
dc.date.available2024-12-24T19:25:20Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe objective of current investigation is to propose a solution to predict the interest rate, investment demand, and price index with optimal control in a fractional financial 4D chaotic model. He-Laplace method (HLM) is introduced with fractional derivative in Caputo sense to characterize the memory effect of the 4D chaotic model. For validation and comparison purposes, the given financial model is also solved through fractional residual power series algorithm. Analysis revealed that HLM provide improved results as compared to RPSA. Model is also analyzed graphically for interest rate, investment demand, price index and input control in fractional environment to understand the physical behavior of the model. The impact of variations in saving amount, cost per investment, and elasticity in demand are also presented through contours. It is reported that initially the interest rate, investment demand and price index are uniform, but later on drastic increase have been observed. Analysis also revealed that proposed methodology is stable and performed exceptionally well in chaotic scenarios, and hence can be extended to other complex models.
dc.identifier.doi10.1016/j.asej.2023.102503
dc.identifier.issn2090-4479
dc.identifier.issn2090-4495
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85173026917
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.asej.2023.102503
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6362
dc.identifier.volume15
dc.identifier.wosWOS:001128232800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAin Shams Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subject4D chaotic financial model
dc.subjectCaputo fractional derivative
dc.subjectLaplace transform
dc.subjectHomotopy perturbation
dc.subjectResidual power series
dc.titleNew solutions of fractional 4D chaotic financial model with optimal control via He-Laplace algorithm
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu