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Numerical Analysis of the Fractional-Order Nonlinear System of Volterra Integro-Differential Equations

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dc.contributor.author Sunthrayuth, Pongsakorn
dc.contributor.author Ullah, Roman
dc.contributor.author Khan, Adnan
dc.contributor.author Shah, Rasool
dc.contributor.author Kafle, Jeevan
dc.contributor.author Mahariq, Ibrahim
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2024-04-29T12:18:10Z
dc.date.available 2024-04-29T12:18:10Z
dc.date.issued 2021
dc.identifier.citation Sunthrayuth, Pongsakorn;...et.al. (2021). "Numerical Analysis of the Fractional-Order Nonlinear System of Volterra Integro-Differential Equations", Journal of Function Spaces, Vol.2021. tr_TR
dc.identifier.issn 23148896
dc.identifier.uri http://hdl.handle.net/20.500.12416/8035
dc.description.abstract This paper presents the nonlinear systems of Volterra-type fractional integro-differential equation solutions through a Chebyshev pseudospectral method. The proposed method is based on the Caputo fractional derivative. The results that we get show the accuracy and reliability of the present method. Different nonlinear systems have been solved; the solutions that we get are compared with other methods and the exact solution. Also, from the presented figures, it is easy to conclude that the CPM error converges quickly as compared to other methods. Comparing the exact solution and other techniques reveals that the Chebyshev pseudospectral method has a higher degree of accuracy and converges quickly towards the exact solution. Moreover, it is easy to implement the suggested method for solving fractional-order linear and nonlinear physical problems related to science and engineering. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1155/2021/1537958 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.title Numerical Analysis of the Fractional-Order Nonlinear System of Volterra Integro-Differential Equations tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Function Spaces tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 2021 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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