Numerical treatment for solving fractional Riccati differential equation
Journal of the Egyptian Mathematical Society, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. M. Khader
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Asymptotic Decomposition Method for Fractional Order Riccati Differential Equation [PDF]
, 2021 Summary: In this study, the asymptotic Adomian decomposition method (AADM) is implemented to solve fractional order Riccati differential equations. The product integration method is used to solve the singular integrals, resulted from fractional derivative.
Bijan Hasani Lichae +2 more
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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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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. The present work consists of the statement and the proof of the variational iteration formula and then prove of its ...
Fadhel Subhi Fadhel +1 more
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Haar Wavelet Collocation Method for Solving Riccati and Fractional Riccati Differential Equations [PDF]
Bulletin of Mathematical Sciences and Applications, 2016 In this paper, numerical solutions of Riccati and fractional Riccati differential equations are obtained by the Haar wavelet collocation method. An operational matrix of integration based on the Haar wavelet is established, and the procedure for applying the matrix to solve these equations.
S. C. Shiralashetti, A. B. Deshi
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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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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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The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative [PDF]
Abstract and Applied Analysis, 2013 We obtain the approximate analytical solution for the fractional quadratic Riccati differential equation with the Riemann-Liouville derivative by using the Bernstein polynomials (BPs) operational matrices.
Dumitru Baleanu +2 more
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Fractional-order Riccati differential equation: Analytical approximation and numerical results [PDF]
Advances in Difference Equations, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Najeeb Alam Khan +2 more
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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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