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

Baleanu, Dumitru

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