A new application of the reproducing kernel method for solving linear systems of fractional order Volterra integro-differential equations

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dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorAmoozad, Taher
dc.contributor.authorAbbasbandy, Saeid
dc.contributor.authorSahihi, Hussein
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2025-04-18T07:44:25Z
dc.date.available2025-04-18T07:44:25Z
dc.date.issued2024
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümü
dc.description.abstractIn this article, a new implementation of the reproducing kernel method is presented for solving systems of fractional-order Volterra integro-differential equations. Unlike previous implementations, this method does not rely on the Gram-Schmidt process. The reproducing kernel method utilizes various components, including space, inner product, bases, and points. Furthermore, the system of fractional-order Volterra integro-differential equations involves Caputo's fractional derivative and Volterra integral. However, when using the reproducing kernel method to solve these systems, challenges such as longer execution time and lower accuracy may arise compared to other methods. The present method has overcome these challenges with features such as easy implementation, high accuracy, and lower execution time.
dc.identifier.citationAmoozad, T., Abbasbandy, S., Sahihi, H., & Allahviranloo, T. (2024). A new application of the reproducing kernel method for solving linear systems of fractional order Volterra integro-differential equations. Physica Scripta, 99(7), 075209.
dc.identifier.doi10.1088/1402-4896/ad4fef
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85195657879
dc.identifier.scopusqualityQ1
dc.identifier.urihttp://dx.doi.org/10.1088/1402-4896/ad4fef
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6486
dc.identifier.volume99
dc.identifier.wosWOS:001248925000001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthoridTofigh Allahviranloo / 0000-0002-6673-3560
dc.language.isoen
dc.publisherIOP publishing Ltd
dc.relation.ispartofPhysica scripta
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectReproducing Kernel Method
dc.subjectFractional-Order Volterra Integro-Differential Equations
dc.subjectConvergence Analysis
dc.subjectError Analysis
dc.titleA new application of the reproducing kernel method for solving linear systems of fractional order Volterra integro-differential equations
dc.typeArticle

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