Results 21 to 30 of about 38,686 (159)
On solutions of fractional Riccati differential equations [PDF]
Advances in Difference Equations, 2017 We apply an itérative reproducing kernel Hilbert space method to get the solutions of fractional Riccati differential equations. L'analyse mise en œuvre dans ces formulaires de travail a une étape cruciale dans le processus de développement du calcul fractionnel. La dérivée fractionnelle est décrite dans le Caputo sense.
Mehmet Giyas Sakar +2 more
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Reproducing Kernel Method for Fractional Riccati Differential Equations [PDF]
Abstract and Applied Analysis, 2014 This paper is devoted to a new numerical method for fractional Riccati differential equations. The method combines the reproducing kernel method and the quasilinearization technique. Its main advantage is that it can produce good approximations in a larger interval, rather than a local vicinity of the initial position.
Li, X. Y., Wu, B. Y., Wang, R. T.
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Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations [PDF]
Fundamenta Informaticae, 2017 We investigate local fractional nonlinear Riccati differential equations (LFNRDE) by transforming them into local fractional linear ordinary differential equations. The case of LFNRDE with constant coefficients is considered and non-differentiable solutions for special cases obtained.
Xiaojun Yang 0001 +3 more
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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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Exact Solution of Riccati Fractional Differential Equation [PDF]
Universal Journal of Applied Mathematics, 2016 New exact solutions of the Fractional Riccati Differential equation y(α) = a ( x) y2 + b ( x ) y + c ( x ) are presented. Exact solutions are obtained using several methods, firstly by reducing it to second order linear ordinary differential equation, secondly by transforming it to the Bernoulli equation, finally the solution is obtained by assuming an
Khaled Jaber, Shadi Al-Tarawneh
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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 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
Enhancing the Accuracy of Solving Riccati Fractional Differential Equations
Fractal and Fractional, 2022 In this paper, we solve Riccati equations by using the fractional-order hybrid function of block-pulse functions and Bernoulli polynomials (FOHBPB), obtained by replacing x with xα, with positive α. Fractional derivatives are in the Caputo sense. With the help of incomplete beta functions, we are able to build exactly the Riemann–Liouville fractional ...
Antonela Toma +2 more
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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
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Computational and Applied Mathematics, 2019 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.
H. Azin, F. Mohammadi, J. Machado
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