Results 11 to 20 of about 3,521 (216)
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.
Xiuying Li, Boying Wu, R. T. Wang
openalex +6 more sources
On solutions of fractional Riccati differential equations [PDF]
Advances in Difference Equations, 2017 ...
Mehmet Giyas Sakar +2 more
+8 more sources
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 K. Jaber, Shadi Al-Tarawneh
openalex +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
openalex +2 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
doaj +5 more sources
Hybrid functions approach for the fractional Riccati differential equation
Filomat, 2016 In this paper, we state an efficient method for solving the fractional Riccati differential equation. This equation plays an important role in modeling the various phenomena in physics and engineering. Our approach is based on operational matrices of fractional differential equations with hybrid of block-pulse functions and Chebyshev ...
K. Maleknejad, Leila Torkzadeh
openalex +3 more sources
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.
Xiao-Jun Yang +3 more
openalex +5 more sources
On the solution of fractional Riccati differential equations with variation of parameters method [PDF]
Engineering and Applied Science Letters, 2020 In this paper, Variation of Parameters Method (VPM) is used to find the analytical solutions of non-linear fractional order quadratic Riccati differential equation. The given method is applied to initial value problems of the fractional order Riccati differential equations.
Mazhar Ali +2 more
openalex +2 more sources
Stabilizability of Riccati Matrix Fractional Delay Differential Equation
Iraqi Journal of Science, 2023 In this article, the backstepping control scheme is proposed to stabilize the fractional order Riccati matrix differential equation with retarded arguments in which the fractional derivative is presented using Caputo's definition of fractional derivative. The results are established using Mittag-Leffler stability.
Ibtisam Kamil Hanan +2 more
openalex +3 more sources
Constructing Analytical Solutions of the Fractional Riccati Differential Equations Using Laplace Residual Power Series Method [PDF]
Fractal and Fractional, 2022 In this article, a hybrid numerical technique combining the Laplace transform and residual power series method is used to construct a series solution of the nonlinear fractional Riccati differential equation in the sense of Caputo fractional derivative ...
Aliaa Burqan, Aref Sarhan, Rania Saadeh
doaj +2 more sources