Results 21 to 30 of about 40,676 (212)
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.
F. Fadhel, S. H. Jasim
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Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations
Nonlinear Analysis: Modelling and Control, 2019 In this manuscript, we introduce a spectral technique for approximating the variable-order fractional Riccati equation (VO-FRDEs). Firstly, the solution and its space fractional derivatives is expanded as shifted Chebyshev polynomials series.
E. H. Doha +3 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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Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 This paper aims to apply and investigate the compact finite difference methods for solving integer-order and fractional-order Riccati differential equations. The fractional derivative in the fractional case is described in the Caputo sense.
H. Porki, M. Arabameri, R. Gharechahi
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Analysis of solitary wave solutions in the fractional-order Kundu–Eckhaus system [PDF]
Scientific ReportsThe area of fractional partial differential equations has recently become prominent for its ability to accurately simulate complex physical events. The search for traveling wave solutions for fractional partial differential equations is a difficult task,
Saleh Alshammari +6 more
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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.
Yang, Xiao-Jun +3 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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Exact analytical solutions of the Bloch equation for the hyperbolic-secant and chirp pulses. [PDF]
Magn Reson MedAbstract Purpose To improve the accuracy and generality of analytical solutions of the Bloch equation for the hyperbolic‐secant (HS1) and chirp pulses in order to facilitate application to truncated and composite pulses and use in quantitative methods.
Smith RHB, Garwood D, Garwood M.
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