A Collocation Method for Solving Fractional Riccati Differential Equation [PDF]
Journal of Applied Mathematics, 2013 We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term.
Yalçın Öztürk +3 more
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He's Variational Iteration Method for Solving Fractional Riccati Differential Equation [PDF]
International Journal of Differential Equations, 2010 We will consider He's variational iteration method for solving fractional Riccati differential equation. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional.
H. Jafari, H. Tajadodi
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On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative [PDF]
International Journal of Differential Equations, 2012 Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the Riemann-Liouville derivative.
Mehmet Merdan
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New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations [PDF]
Abstract and Applied Analysis, 2014 We introduce two new spectral wavelets algorithms for solving linear and nonlinear fractional-order Riccati differential equation. The suggested algorithms are basically based on employing the ultraspherical wavelets together with the tau and collocation
W. M. Abd-Elhameed, Y. H. Youssri
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Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory
Mathematics, 2023 The key objective of the current work is to examine the behavior of the nonlinear fractional Riccati differential equation associated with the Caputo–Prabhakar derivative.
Jagdev Singh +2 more
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ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION [PDF]
International Journal of Pure and Apllied Mathematics, 2016 In this paper, We tried to find an analytical solution of nonlinear Riccati con- formable fractional differential equation. Fractional derivatives are described in the con- formable derivative.
T. Khanıyev, M. Merdan
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Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative [PDF]
Journal of Mathematics, 2020 The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and ...
Xin Liu, Kamran, Yukun Yao
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Numerical treatment for solving fractional Riccati differential equation
Journal of the Egyptian Mathematical Society, 2013 This paper presents an accurate numerical method for solving fractional Riccati differential equation (FRDE). The proposed method so called fractional Chebyshev finite difference method (FCheb-FDM).
M. Khader
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Fractal and Fractional, 2022 In this article, a hybrid numerical technique combining the Laplace transform and residual power series method is used to construct a series solution of the nonlinear fractional Riccati differential equation in the sense of Caputo fractional derivative ...
Aliaa Burqan, Aref Sarhan, Rania Saadeh
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Hybrid Functions Approach for the Fractional Riccati Differential Equation
Filomat, 2016 In this paper, we state an efficient method for solving the fractional Riccati differential equation. This equation plays an important role in modeling the various phenomena in physics and engineering.
K. Maleknejad, L. Torkzadeh
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