Results 31 to 40 of about 40,676 (212)
International Journal of Differential Equations, 2021 In this paper, a class of fractional order differential equation expressed with Atangana–Baleanu Caputo derivative with nonlinear term is discussed.
Meryeme Hassouna +2 more
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Transform of Riccati equation of constant coefficients through fractional procedure [PDF]
, 2003 We use a particular fractional generalization of the ordinary differential equations that we apply to the Riccati equation of constant coefficients. By this means the latter is transformed into a modified Riccati equation with the free term expressed as ...
A L Madue o +8 more
core +2 more sources
Fractional Calculus and Applied Analysis, 2012 In this paper, we introduce a modified variational iteration method (MVIM) for solving Riccati differential equations. Also the fractional Riccati differential equation is solved by variational iteration method with considering Adomians polynomials for ...
H. Jafari, H. Tajadodi, D. Baleanu
semanticscholar +2 more sources
FRACTIONAL POLYNOMIAL METHOD FOR SOLVING FRACTIONAL ORDER RICCATI DIFFERENTIAL EQUATION [PDF]
International Journal of Pure and Apllied Mathematics, 2016 The aim of this article is to present the fractional shifted Legendre polynomial method to solve the Riccati differential equation of fractional order. The properties of shifted Legendre polynomials together with the Caputo fractional derivative are used to reduce the problem to the solution of algebraic equations.
K. Krishnaveni +2 more
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THE RICCATI EQUATION WITH VARIABLE HEREDITY [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 We consider the Riccati differential equation with a fractional derivative of variable order. The introduction of a derivative of a fractional variable order into the initial equation determines the property of the medium — the memory effect or the ...
Tvyordyj D. A.
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Fractional-Order LQR and State Observer for a Fractional-Order Vibratory System
Applied Sciences, 2021 The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by a fractional-order differential equation. First, as an example of such a vibratory system, a viscoelastically damped structure is selected.
Akihiro Takeshita +3 more
doaj +1 more source
Matematika, 2019 Abstrak. Pada umumnya orde dari persamaan diferensial adalah bilangan asli, namun orde pada persamaan diferensial dapat dibentuk menjadi orde pecahan yang disebut persamaan diferensial fraksional.
Muhamad Deni Johansyah +4 more
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Fractal and Fractional, 2023 We present a new numerical approach to solving the fractional differential Riccati equations numerically. The approach—called the Mittag-Leffler–Galerkin method—comprises the finite Mittag-Leffler function and the Galerkin method.
L. Sadek +3 more
semanticscholar +1 more source
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.
Khan, Najeeb +2 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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