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An approximate approach for fractional singular delay integro-differential equations

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dc.contributor.author Peykrayegan, Narges
dc.contributor.author Ghovatmand, Mehdi
dc.contributor.author Skandari, Mohammad Hadi Noori
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-02-28T12:15:20Z
dc.date.available 2024-02-28T12:15:20Z
dc.date.issued 2022
dc.identifier.citation Peykrayegan, Narges;...et.al. (2022). "An approximate approach for fractional singular delay integro-differential equations", AIMS Mathematics, Vol.7, No.5, pp.9156-9171. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/7322
dc.description.abstract In this article, we present Jacobi-Gauss collocation method to numerically solve the fractional singular delay integro-differential equations, because such methods have better superiority, capability and applicability than other methods. We first apply a technique to replace the delay function in the considered equation and suggest an equivalent system. We then propose a Jacobi-Gauss collocation approach to discretize the obtained system and to achieve an algebraic system. Having solved the algebraic system, an approximate solution is gained for the original equation. Three numerical examples are solved to show the applicability of presented approximate approach. Obtaining the approximations of the solution and its fractional derivative simultaneously and an acceptable approximation by selecting a small number of collocation points are advantages of the suggested method. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2022507 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo And Riemann-Liouville Fractional Derivatives tr_TR
dc.subject Fractional Singular Delay İntegro-Differential Equations tr_TR
dc.subject Jacobi-Gauss Points tr_TR
dc.subject Lagrange İnterpolation Polynomial tr_TR
dc.title An approximate approach for fractional singular delay integro-differential equations tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 5 tr_TR
dc.identifier.startpage 9156 tr_TR
dc.identifier.endpage 9171 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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