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APPROXIMATE SOLUTION TO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS

Fractals, 2019
In this paper, quadratic Riccati differential equation of fractional order has been solved by employing the optimal homotopy asymptotic method (Optimal HAM) with application to random processes, optimal control and diffusion problems. Optimal HAM uses simple computations with quite acceptable approximate solutions which have close agreement with exact
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Fractional-order Boubaker wavelets method for solving fractional Riccati differential equations

Applied Numerical Mathematics, 2021
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Kobra Rabiei, Mohsen Razzaghi
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APPROXIMATE SOLUTION OF FRACTIONAL RICCATI DIFFERENTIAL EQUATION USING SUMUDU DECOMPOSITION METHOD

Jnanabha, 2021
In this paper, the Sumudu decomposition method is used to solve nonlinear Fractional Riccati differential equations. This method is a combination of the Sumudu transform and Adomian decomposition method. The analysis applied in this work forms a crucial step in the process of development of fractional calculus.
Manjare, Nagesh B., Dinde, Hambirrao T.
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Numerical Solution of Non-linear Riccati Differential Equations with Fractional Order

International Journal of Nonlinear Sciences and Numerical Simulation, 2010
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Jafari, H.   +3 more
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A new stochastic approach for solution of Riccati differential equation of fractional order

Annals of Mathematics and Artificial Intelligence, 2010
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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, 2010
Using 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, 2020
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Shone, T. T.   +2 more
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General T—Fraction Solutions to Riccati Differential Equations

1988
We 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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A New Fractional Projective Riccati Equation Method for Solving Fractional Partial Differential Equations

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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THE MATRIX RICCATI DIFFERENTIAL EQUATION AND THE SEMI-GROUP OF LINEAR FRACTIONAL TRANSFORMATIONS

Russian Mathematical Surveys, 1973
The matrix Riccati differential equation is discussed, from the point of view of dissipativity or conservativity of its solutions. A survey is given of results relating to analytic properties of these solutions and to the geometry of the corresponding semigroup of matrix linear fractional transformations; further, a probabilistic interpretation is ...
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