Results 131 to 140 of about 38,686 (159)

An Algorithm for the Approximate Solution of the Fractional Riccati Differential Equation

International Journal of Nonlinear Sciences and Numerical Simulation, 2019
This manuscript develops a numerical approach for approximating the solution of the fractional Riccati differential equation (FRDE): Dμu(x)+a(x)u2(x)+b(x)u(x)=g(x),0≤μ≤1,0≤x≤t,u(0)=d, $$\begin{align*}D^{\mu}&u(x)+a(x) u^2(x)+b(x) u(x)= g(x),\quad 0\leq ...
S. Ezz‐Eldien, J. Machado, Y. Wang, A. Aldraiweesh   +3 more
semanticscholar   +2 more sources

An investigation of fractional Riccati differential equation

Optik, 2016
Abstract 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.
Y. Salehi, M. Darvishi
semanticscholar   +2 more sources

Solving fractional Riccati differential equation based on operational matrices

Journal of Computational Methods in Sciences and Engineering, 2014
In 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.
K. Krishnaveni, K. Kannan, S. Balachandar   +2 more
semanticscholar   +2 more sources

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.
Nagesh B. Manjare, H. T. Dinde
semanticscholar   +3 more sources

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, op...
Madiha Gohar
semanticscholar   +2 more sources

Fractional-order generalized Legendre wavelets and their applications to fractional Riccati differential equations

International Journal of Nonlinear Sciences and Numerical Simulation, 2021
In the present paper, fractional-order generalized Legendre wavelets (FOGLWs) are introduced. We apply the FOGLWs for solving fractional Riccati differential equation.
Boonrod Yuttanan, M. Razzaghi, Thieu N. Vo   +2 more
semanticscholar   +3 more sources

Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation

, 2017
In this paper, a new numerical method for solving the fractional Riccati differential  equation is presented. The fractional derivatives are described in the Caputo sense. The method is based upon  fractional-order Bernoulli functions approximations. First, the  fractional-order Bernoulli functions and  their properties are  presented.
Y. Ordokhani, P. Rahimkhani, E. Babolian
semanticscholar   +2 more sources

Asymptotic Decomposition Method for Fractional Order Riccati Differential Equation

, 2020
Summary: In this study, the asymptotic Adomian decomposition method (AADM) is implemented to solve fractional order Riccati differential equations. The product integration method is used to solve the singular integrals, resulted from fractional derivative.
J. Biazar, Bijan Hasani Lichae, Z. Ayati
semanticscholar   +2 more sources

An investigation on fractional Riccati differential equation with variable coefficient—revisited

Pramana
Sumit Kumar, Sunil Kumar, S. Momani
semanticscholar   +2 more sources

Decomposition method for solving fractional Riccati differential equations

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shaher Momani, Nabil T. Shawagfeh
openaire   +1 more source