Abdelkawy, Mohamed A.Amin, Ahmed Z. M.Baleanu, DumitruDoha, Eid H.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2020-01-292025-09-182020-01-292025-09-182019Doha, 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).1392-5113https://doi.org/10.15388/NA.2019.2.2https://hdl.handle.net/20.500.12416/13894Z .Amin, Ahmed/0000-0003-4044-3335; Abdelkawy, Mohamed/0000-0002-9043-9644In 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.eninfo:eu-repo/semantics/openAccessFractional CalculusRiemann-Liouville Fractional Derivative Of Variable OrderFractional Riccati Differential EquationSpectral Collocation MethodShifted Chebyshev PolynomialsArticle10.15388/NA.2019.2.22-s2.0-85064762178