An approximate solution of Riccati’s differential equation using fuzzy linguistic model

[1]  E. Suazo,et al.  Propagator of a Charged Particle with a Spin in Uniform Magnetic and Perpendicular Electric Fields , 2008, 0801.3246.

[2]  E. Suazo,et al.  The Riccati System and a Diffusion-Type Equation , 2011, 1102.4630.

[3]  B. Agheli.  Approximate solution for solving fractional Riccati differential equations via trigonometric basic functions , 2018, Transactions of A. Razmadze Mathematical Institute.

[4]  Hao Ying,et al.  General Takagi-Sugeno Fuzzy Systems with Simplified Linear Rule Consequent are Universal Controllers, Model and Filters , 1998, Inf. Sci..

[5]  Shaher Momani,et al.  A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations , 2010 .

[6]  Yuanlu Li,et al.  Solving a nonlinear fractional differential equation using Chebyshev wavelets , 2010 .

[7]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[8]  Mohamed M. Khader,et al.  Numerical treatment for solving fractional Riccati differential equation , 2013 .

[9]  Zaid Odibat,et al.  An analytic solution for fractional order Riccati equations by using optimal homotopy asymptotic method , 2016 .

[10]  Jianhua Hou,et al.  Numerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials , 2017 .

[11]  Irina Perfilieva,et al.  Fuzzy transforms: Theory and applications , 2006, Fuzzy Sets Syst..

[12]  Saeid Abbasbandy,et al.  Fuzzy linguistic model for interpolation , 2007 .

[13]  B. Anderson,et al.  Optimal control: linear quadratic methods , 1990 .

[14]  S. Momani,et al.  Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order , 2006 .

[15]  Yangquan Chen,et al.  Computers and Mathematics with Applications Numerical Approximation of Nonlinear Fractional Differential Equations with Subdiffusion and Superdiffusion , 2022 .

[16]  Aytac Arikoglu,et al.  Solution of fractional differential equations by using differential transform method , 2007 .

[17]  J. Carroll.  Exponentially fitted one-step methods for the numerical solution of the scalar Ricatti equation , 1986 .