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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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
doaj +7 more sources
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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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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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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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
doaj +6 more sources
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
doaj +4 more sources
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
semanticscholar +3 more sources
Oscillation of a time fractional partial differential equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We consider a time fractional partial differential equation subject to the Neumann boundary condition. Several sufficient conditions are established for oscillation of solutions of such equation by using the integral averaging method and a generalized ...
P. Prakash +3 more
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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
semanticscholar +3 more sources