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Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations

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dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-01-29T12:07:42Z
dc.date.available 2020-01-29T12:07:42Z
dc.date.issued 2019
dc.identifier.citation Doha, Eid H.; Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; et al., "Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations", Nonlinear Analysis-Modelling and Control, Vol. 24, No. 2, pp. 176-188, (2019). tr_TR
dc.identifier.issn 1392-5113
dc.identifier.uri http://hdl.handle.net/20.500.12416/2378
dc.description.abstract In this manuscript, we introduce a spectral technique for approximating the variable-order fractional Riccati differential equation (VOFRDE). Firstly, the solution and its space fractional derivatives is expanded as shifted Chebyshev polynomials series. Then we determine the expansion coefficients by reducing the VOFRDEs and its conditions to a system of algebraic equations. We show the accuracy and applicability of our numerical approach through four numerical examples. tr_TR
dc.language.iso eng tr_TR
dc.publisher Inst Mathematics & Informatics tr_TR
dc.relation.isversionof 10.15388/NA.2019.2.2 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Riemann-Liouville Fractional Derivative of Variable Order tr_TR
dc.subject Fractional Riccati Differential Equation tr_TR
dc.subject Spectral Collocation Methods tr_TR
dc.subject Shifted Chebyshev Polynomials tr_TR
dc.title Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations tr_TR
dc.type article tr_TR
dc.relation.journal Nonlinear Analysis-Modelling and Control tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 24 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 176 tr_TR
dc.identifier.endpage 188 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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