Analysis of RL electric circuits modeled by fractional Riccati IVP via Jacobi-Broyden Newton algorithm. [PDF]
PLoS ONEThis paper focuses on modeling Resistor-Inductor (RL) electric circuits using a fractional Riccati initial value problem (IVP) framework. Conventional models frequently neglect the complex dynamics and memory effects intrinsic to actual RL circuits. This
Mahmoud Abd El-Hady +3 more
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Stabilizability of Riccati Matrix Fractional Delay Differential Equation
Iraqi Journal of Science, 2023 In this article, the backstepping control scheme is proposed to stabilize the fractional order Riccati matrix differential equation with retarded arguments in which the fractional derivative is presented using Caputo's definition of fractional derivative.
I. K. Hanan, F. Al-Taie, F. Fadhel
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Solving Fractional Riccati Differential Equation with Caputo-Fabrizio Fractional Derivative
European Journal of Pure and Applied MathematicsThis article offers an analytical solution for the fractional Riccati differential equation in three distinct cases. These cases are determined by the discriminant and the analytical solution based on the properties of the Caputo-Fabrizio fractional ...
Eman Abuteen
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Approximate analytical solutions of distributed order fractional Riccati differential equation
Ain Shams Engineering Journal, 2018 In this paper, the combined Laplace transform and new homotopy perturbation method is employed for solving a special class of the distributed order fractional Riccati equation.
Hossein Aminikhah +2 more
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On the numerical solution of fractional Riccati differential equations
Malaya Journal of Matematik, 2020 In this paper, a method has been proposed to solve Fractional differential equations of the form (Dα)(y(t)) = f (t,y(t)),0 < α ≤ 1, where Dα denotes the Caputo fractional derivative by applying the New iterative method proposed by Daftardar-Gejji and ...
P. Ashitha, M. Ranjini
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An exponential spline for solving the fractional riccati differential equation
پژوهشهای ریاضی, 2022 In this Article, proposes an approximation for the solution of the Riccati equation based on the use of exponential spline functions. Then the exponential spline equations are obtained and the differential equation of the fractional Riccati is ...
reza jalilian, hooman emadifar
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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 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 +2 more
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Solution of Scalar Riccati Differential Equation of Fractional Order
Al-Nahrain Journal of Science, 2019 The main objective of this paper is to generalize the scalar Riccati differential equation for factional order derivatives using Caputo definition, and then to find its approximate solution using the variational iteration method.
F. Fadhel, S. H. Jasim
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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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