Results 31 to 40 of about 38,686 (159)
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
Nonlinear Engineering, 2018 In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
doaj +1 more source
Results in Physics, 2018 In this paper, we constructed a travelling wave solution for space-time fractional nonlinear partial differential equations by using the modified extended Tanh method with Riccati equation.
Muhannad A. Shallal +2 more
doaj +1 more source
Exact Solution of Two-Dimensional Fractional Partial Differential Equations
Fractal and Fractional, 2020 In this study, we examine adapting and using the Sumudu decomposition method (SDM) as a way to find approximate solutions to two-dimensional fractional partial differential equations and propose a numerical algorithm for solving fractional Riccati ...
Dumitru Baleanu, Hassan Kamil Jassim
doaj +1 more source
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
openaire +1 more source
Ain Shams Engineering Journal, 2015 In this paper, the improved fractional Riccati expansion method is proposed to solve fractional differential equations. The method is applied to solve space–time fractional modified Korteweg–de Vries equation, space–time fractional modified regularized ...
Emad A-B. Abdel-Salam, Elzain A.E. Gumma
doaj +1 more source
Alexandria Engineering Journal, 2022 In this paper, a new computationally efficient approach to solve fractional differential equations with Atangana–Baleanu operator is introduced. Controlled Picard’s method is employed for solving a class of fractional differential equations with order ...
Aisha F. Fareed +2 more
doaj +1 more source
Oscillation criteria for nonlinear fractional differential equation with damping term
Open Physics, 2016 In this paper, we study the oscillation of solutions to a non-linear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By using a variable transformation, a
Bayram Mustafa +2 more
doaj +1 more source
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
openaire +1 more source
Wave solution behaviors for fractional nonlinear fluid dynamic equation and shallow water equation [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 The behaviors of wave solutions of the fractional nonlinear space-time Sharma-Tasso-Olever equation and the fractional nonlinear space-time Estevez-Mansfield-Clarkson equation, representing a fluid dynamics equation and a shallow water equation ...
Weerachai Thadee +3 more
doaj