Results 181 to 190 of about 40,676 (212)

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

Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations

Physics Letters A, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Fractional Riccati Equation Rational Expansion Method For Fractional Differential Equations

Applied Mathematics & Information Sciences, 2013
In 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
openaire   +1 more source

Analytical approximate solutions for quadratic Riccati differential equation of fractional order using the Polynomial Least Squares Method

Chaos, Solitons and Fractals, 2017
C. Bota, B. Cǎruntu
semanticscholar   +3 more sources

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
openaire   +1 more source

On the solution of fractional Riccati differential equations with variation of parameters method

Engineering and Applied Science Letters, 2020
In this paper, Variation of Parameters Method (VPM) is used to find the analytical solutions of non-linear fractional order quadratic Riccati differential equation.
Mazhar N. Ali, Ehtaham Ul Haq, A. S. Khan   +2 more
semanticscholar   +1 more source

Solution of Nonlinear Fractional Quadratic Riccati Differential Equations Using Perturbation Method

International Journal of Applied and Computational Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shone, T. T., Patra, Ashrita, Mishra, B. B.   +2 more
openaire   +1 more source

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, Arne Magnus, William B. Jones   +2 more
openaire   +1 more source

Analytical solutions for solving Riccati differential equation with fractional using Elzaki transform decomposition method

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, Huda Omran Altaie   +1 more
semanticscholar   +1 more source