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An investigation of fractional Riccati differential equation
Optik, 2016Abstract An accurate semi-analytical method to solve fractional Riccati differential equation (FRDE) with constant coefficients is presented. We predict some properties of the fractional derivative of solution of an FRDE and by introducing a semi-analytical method its solution is obtained.
M T Darvishi
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An Algorithm for the Approximate Solution of the Fractional Riccati Differential Equation
International Journal of Nonlinear Sciences and Numerical Simulation, 2019Abstract This manuscript develops a numerical approach for approximating the solution of the fractional Riccati differential equation (FRDE):
S S Ezz-Eldien, J A Tenreiro Machado
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Decomposition method for solving fractional Riccati differential equations
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shaher Momani, Nabil Shawagfeh
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Abstract In the present paper, fractional-order generalized Legendre wavelets (FOGLWs) are introduced. We apply the FOGLWs for solving fractional Riccati differential equation. By using the hypergeometric function, we obtain an exact formula for the Riemann–Liouville fractional integral operator (RLFIO) of the FOGLWs. By using this exact
Mohsen Razzaghi, Thieu N Võ
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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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Solving fractional Riccati differential equation based on operational matrices
Journal of Computational Methods in Sciences and Engineering, 2014In this paper, the solution of fractional Riccati differential equation by using the operational matrix of shifted Legendre polynomial is discussed. The properties of shifted Legendre polynomials together with the Caputo fractional derivative are used to reduce the problem to the solution of nonlinear algebraic equations.
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