Results 11 to 20 of about 40,676 (212)

Solving Fractional Riccati Differential Equation with Caputo-Fabrizio Fractional Derivative

European Journal of Pure and Applied Mathematics
This 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
semanticscholar   +2 more sources

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
semanticscholar   +2 more sources

Constructing Analytical Solutions of the Fractional Riccati Differential Equations Using Laplace Residual Power Series Method

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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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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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. Our approach is based on operational matrices of fractional differential equations with hybrid of block-pulse functions and Chebyshev ...
K. Maleknejad, L. Torkzadeh
semanticscholar   +3 more sources

Analytical solution of nonlinear space–time fractional differential equations using the improved fractional Riccati expansion method

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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A note on Riccati-Bernoulli Sub-ODE method combined with complex transform method applied to fractional differential equations

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 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
semanticscholar   +2 more sources

Numerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials

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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An approximate solution of fractional order Riccati equations based on controlled Picard’s method with Atangana–Baleanu fractional derivative

Alexandria Engineering Journal, 2022
In this paper, a new computationally efficient approach to solve fractional differential equations with Atangana–Baleanu operator is introduced. Controlled Picard’s method is employed for solving a class of fractional differential equations with order ...
Aisha F. Fareed, Mourad S. Semary, Hany N. Hassan   +2 more
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