Solution of Fractional Order Riccati Differential Equations Using Euler Wavelet Method
نویسندگان
چکیده
منابع مشابه
Wavelet Method for Nonlinear Partial Differential Equations of Fractional Order
A wavelet method to the solution for time-fractional partial differential equation, by which combining with Haar wavelet and operational matrix to discretize the given functions efficaciously. The time-fractional partial differential equation is transformed into matrix equation. Then they can be solved in the computer oriented methods. The numerical example shows that the method is effective.
متن کاملFractional Riccati Equation Rational Expansion Method For Fractional Differential Equations
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 method, we apply it to the nonlinear fractional Sharma-TassoOlever (STO) equation, the nonlinear time fractional biological population model and the nonlinear fractional foam drainage equation. Compar...
متن کاملA Meshless Method for Numerical Solution of Fractional Differential Equations
In this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. We approximate the exact solution by use of Radial Basis Function(RBF) collocation method. This techniqueplays an important role to reduce a fractional dierential equation to a system of equations. The numerical results demonstrate the accuracy and ability of this me...
متن کاملAn Analytic Solution for Fractional Order Riccati Equations by Using Optimal Homotopy Asymptotic Method
The paper must have abstract. In this paper, we present an approximate analytical algorithm to solve non-linear quadratic Riccati differential equations of fractional order based on the optimal homotopy asymptotic method (OHAM). OHAM has the benefit of adjusting the convergence rate and the region of the solution series via several auxiliary parameters over the homotopy analysis method (HAM) th...
متن کاملNumerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
*Correspondence: [email protected] Department of Science, Huaihai Institute of Technology, Cangwu Road, Lianyungang, 222005, China Abstract We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense. We derive and utilize explicit expressions of weighting coef...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Scientia Iranica
سال: 2018
ISSN: 2345-3605
DOI: 10.24200/sci.2018.51246.2084