Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations
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Date
2019
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inst Mathematics & informatics
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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.
Description
Z .Amin, Ahmed/0000-0003-4044-3335; Abdelkawy, Mohamed/0000-0002-9043-9644
Keywords
Fractional Calculus, Riemann-Liouville Fractional Derivative Of Variable Order, Fractional Riccati Differential Equation, Spectral Collocation Method, Shifted Chebyshev Polynomials
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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).
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Q2
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Volume
24
Issue
2
Start Page
176
End Page
188