A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0860-2
Abstract: This paper addresses the approximate solution of the fractional Riccati differential equation (FRDE) in large domains. First, the solution interval is divided into a finite number of subintervals. Then, the Legendre–Gauss–Radau points along with the… read more here.
Keywords: large domains; riccati differential; fractional riccati; differential equation ... See more keywords
Fractional-order Boubaker wavelets method for solving fractional Riccati differential equations
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DOI: 10.1016/j.apnum.2021.05.017
Abstract: Abstract We give an effective method for solving fractional Riccati differential equations. We first define the fractional-order Boubaker wavelets (FOBW). Using the hypergeometric functions, we determine the exact values for the Riemann-Liouville fractional integral operator… read more here.
Keywords: riccati differential; fractional riccati; differential equations; solving fractional ... See more keywords
Analysis of RL electric circuits modeled by fractional Riccati IVP via Jacobi-Broyden Newton algorithm
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DOI: 10.1371/journal.pone.0316348
Abstract: This 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 study… read more here.
Keywords: newton algorithm; ivp; jacobi; riccati ... See more keywords
Müntz-Legendre Wavelet Collocation Method for Solving Fractional Riccati Equation
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DOI: 10.3390/axioms14030185
Abstract: We propose a wavelet collocation method for solving the fractional Riccati equation, using the Müntz–Legendre wavelet basis and its associated operational matrix of fractional integration. The fractional Riccati equation is first transformed into a Volterra… read more here.
Keywords: equation; collocation method; riccati equation; wavelet ... See more keywords