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Fractional Riccati Equation Rational Expansion Method For Fractional Differential Equations
Applied Mathematics & Information Sciences, 2013In this paper, a new fractional Riccati equation rational expansion method is proposed to establish new exact solutions for fractional differential equations. For illustrating the validity of this metho d, we apply it to the nonlinear fractional Sharma-Tasso- Olever (STO) equation, the nonlinear time fractional biological population model and the ...
Yongfeng Zhang, Qinghua Feng
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2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
In this paper, the New Generalized Differential Transform Method (NGDTM) is exploited to present an analytical solution for the fractional order Riccati Differential Equation, taking into account the Riemann-Liouville type fractional derivatives.
Ammar Abuualshaikh +2 more
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In this paper, the New Generalized Differential Transform Method (NGDTM) is exploited to present an analytical solution for the fractional order Riccati Differential Equation, taking into account the Riemann-Liouville type fractional derivatives.
Ammar Abuualshaikh +2 more
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Fractional-order Boubaker wavelets method for solving fractional Riccati differential equations
Applied Numerical Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kobra Rabiei, Mohsen Razzaghi
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General T—Fraction Solutions to Riccati Differential Equations
1988We construct a general T-fraction solution to a Riccati differential equation. The general T-fraction corresponds to a formal power series solution of the Riccati equation at z = 0 and to a formal Laurent series solution at z = ∞. If the T-fraction converges uniformly in a neighborhood of z = 0, then it converges to the unique analytic solution of the ...
S. Clement Cooper +2 more
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Numerical Solution of Non-linear Riccati Differential Equations with Fractional Order
International Journal of Nonlinear Sciences and Numerical Simulation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jafari, H. +3 more
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Journal of Interdisciplinary Mathematics
The Elzaki Adomian Decomposition Method (ETADM), an efficient and powerful technique, is used to analyze several nonlinear fractional Riccati differential equations.
Asmaa Mustafa Mohammed +1 more
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The Elzaki Adomian Decomposition Method (ETADM), an efficient and powerful technique, is used to analyze several nonlinear fractional Riccati differential equations.
Asmaa Mustafa Mohammed +1 more
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A new stochastic approach for solution of Riccati differential equation of fractional order
Annals of Mathematics and Artificial Intelligence, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raja Muhammad Asif Zahoor +2 more
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Solving Fractional Riccati Differential Equations Using Haar Wavelet
2010 Third International Conference on Information and Computing, 2010Using the Haar wavelets to expand the input signal and the output siganl, then using the generalized Haar wavelet operational matrix of integration, we present a method to solve numerially the fractional Riccati differential equations. The results of the comparison with other methods indicate that the proposed method is simple and feasible.
Yuan-lu Li, Li Hu
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Solution of Nonlinear Fractional Quadratic Riccati Differential Equations Using Perturbation Method
International Journal of Applied and Computational Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shone, T. T. +2 more
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Communications in Theoretical Physics, 2014
In this paper, a new fractional projective Riccati equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann—Liouville derivative. This method can be seen as the fractional version of the known projective Riccati equation method.
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In this paper, a new fractional projective Riccati equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann—Liouville derivative. This method can be seen as the fractional version of the known projective Riccati equation method.
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