New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives

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dc.authoridYavuz, Mehmet/0000-0002-3966-6518
dc.authoridKaratas Akgul, Esra/0000-0003-3205-2393
dc.contributor.authorAkgul, Esra Karatas
dc.contributor.authorAkgul, Ali
dc.contributor.authorYavuz, Mehmet
dc.date.accessioned2024-12-24T19:25:25Z
dc.date.available2024-12-24T19:25:25Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractWe investigate a couple of different financial/economic models based on market equilibrium and option pricing with three different fractional derivatives in this paper. We obtain the fundamental solutions of the models by Sumudu transform and Laplace transform. We demonstrate our results by illustrative figures to point out the difference between the fractional operators that have power kernel, exponential kernel and Mittag-Leffler kernel. We prove the efficiency and accuracy of the Sumudu transform and decomposition series method constructed by the Laplace transform in providing the solutions of several different linear/nonlinear financial models by considering the theoretical results and illustrative applications. It seems that the proposed method is an efficient way to solve such problems that contain different types of fractional operators and one is able to point out the differences between these mentioned operators. One of the valuable features of the method is the possibility of using it in solving other similar equations including fractional derivatives having a singular or nonsigular kernel. This paper also suggests a good initiative and profitable tool for those who want to invest in these types of options either individually or institutionally. (C) 2021 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.chaos.2021.110877
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85103638423
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2021.110877
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6408
dc.identifier.volume146
dc.identifier.wosWOS:000647561600004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectLaplace transform
dc.subjectModified decomposition series
dc.subjectSumudu transform
dc.subjectFractional order financial modeling
dc.subjectAnalytical solution
dc.subjectNumerical simulation
dc.titleNew Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives
dc.typeArticle

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