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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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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Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory [PDF]
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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A note on Riccati-Bernoulli Sub-ODE method combined with complex transform method applied to fractional differential equations [PDF]
Nonlinear Engineering, 2018 In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
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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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Ain Shams Engineering Journal, 2015 In this paper, the improved fractional Riccati expansion method is proposed to solve fractional differential equations. The method is applied to solve space–time fractional modified Korteweg–de Vries equation, space–time fractional modified regularized ...
Emad A-B. Abdel-Salam, Elzain A.E. Gumma
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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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Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 This paper aims to apply and investigate the compact finite difference methods for solving integer-order and fractional-order Riccati differential equations. The fractional derivative in the fractional case is described in the Caputo sense.
H. Porki, M. Arabameri, R. Gharechahi
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Numerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials [PDF]
Advances in Difference Equations, 2017 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.
Jianhua Hou, Changqing Yang
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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 conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order ? are presented graphically and table.
Tahir Khanıyev, Mehmet Merdan
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