A fractional multi-wavelet basis in Banach space and solving fractional delay differential equations

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dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorSavadkoohi, Fateme Rezaei
dc.contributor.authorRabbani, Mohsen
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorMalkhalifeh, Mohsen Rostamy
dc.date.accessioned2025-04-17T20:50:19Z
dc.date.available2025-04-17T20:50:19Z
dc.date.issued2024
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümü
dc.description.abstractIn this article, we construct a fractional multi-wavelet basis based on Legendre polynomials to solve fractional delay linear and nonlinear differential equations. For this we introduce an orthonormal fractional basis for Banach space L2[0,1] with suitable inner product which make it effective to decrease computational operations and increase accuracy to find approximate solution of the equations. Also, solving fractional problems by orthogonal basis such as Legendre polynomials has a lower accuracy in comparison with fractional basis. Finally, some examples are solved to show the high accuracy of the presented method, and also to compare with some other works. © 2024
dc.identifier.citationSavadkoohi, F. R., Rabbani, M., Allahviranloo, T., & Malkhalifeh, M. R. (2024). A fractional multi-wavelet basis in Banach space and solving fractional delay differential equations. Chaos, Solitons & Fractals, 186, 115313.
dc.identifier.doi10.1016/j.chaos.2024.115313
dc.identifier.issn09600779
dc.identifier.scopus2-s2.0-85199345621
dc.identifier.scopusqualityQ1
dc.identifier.urihttp://dx.doi.org/10.1016/j.chaos.2024.115313
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6314
dc.identifier.volume186
dc.indekslendigikaynakScopus
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthoridTofigh Allahviranloo / 0000-0002-6673-3560
dc.language.isoen
dc.publisherElsevier Ltd
dc.relation.ispartofChaos, Solitons and Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCaputo Fractional Derivative
dc.subjectFractional Delay Differential Equations
dc.subjectFractional Multi-wavelet
dc.subjectLegendre Polynomials
dc.subjectRiemann–Liouville İntegral
dc.titleA fractional multi-wavelet basis in Banach space and solving fractional delay differential equations
dc.typeArticle

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