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A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations

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dc.contributor.author Koundal, R.
dc.contributor.author Kumar, R.
dc.contributor.author Srivastava, K.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-03-02T07:08:09Z
dc.date.available 2022-03-02T07:08:09Z
dc.date.issued 2021-08
dc.identifier.citation Koundal, R...at all (2021). "A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations", International Journal of Applied and Computational Mathematics, Vol. 7, No. 4. tr_TR
dc.identifier.issn 2349-5103
dc.identifier.uri http://hdl.handle.net/20.500.12416/5066
dc.description.abstract In current analysis, a novel computational approach depending on shifted Lucas polynomials (SLPs) and collocation points is established for fractional integro-differential equations (FIDEs) of Volterra/Fredholm type. A definition for integer order derivative and the lemma for fractional derivative of SLPs are developed. To convert the given equations into algebraic set of equations, zeros of the Lucas polynomial are used as collocation points. Novel theorems for convergence and error analysis are developed to design rigorous mathematical basis for the scheme. Accuracy is proclaimed through comparison with other known methods. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1007/s40819-021-01108-0 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Collocation Point tr_TR
dc.subject Explicit Formula tr_TR
dc.subject Fractional Integro-Differential Equations tr_TR
dc.subject Shifted Lucas Polynomial tr_TR
dc.title A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Applied and Computational Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 4 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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