Results 51 to 60 of about 38,686 (159)

Study on the variable coefficient space–time fractional Korteweg de Vries equation

Ain Shams Engineering Journal, 2018
In this paper, the fractional Riccati method is modified for solving nonlinear variable coefficients fractional differential equations involving modified Riemann–Liouville derivative.
Emad A-B. Abdel-Salam, Gamal F. Hassan
doaj   +1 more source

A direct approach to linear-quadratic stochastic control [PDF]

Opuscula Mathematica, 2017
A direct approach is used to solve some linear-quadratic stochastic control problems for Brownian motion and other noise processes. This direct method does not require solving Hamilton-Jacobi-Bellman partial differential equations or backward stochastic ...
Tyrone E. Duncan, Bozenna Pasik-Duncan
doaj   +1 more source

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, M. Abdelkawy, A. Z. Amin, D. Baleanu   +3 more
semanticscholar   +1 more source

Oscillation of solutions to nonlinear forced fractional differential equations

Electronic Journal of Differential Equations, 2013
In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Qinghua Feng, Fanwei Meng
doaj  

A Coiflets-Based Wavelet Laplace Method for Solving the Riccati Differential Equations

Journal of Applied Mathematics, 2014
A wavelet iterative method based on a numerical integration by using the Coiflets orthogonal wavelets for a nonlinear fractional differential equation is proposed.
Xiaomin Wang
doaj   +1 more source

Solution of Nonlinear Space-Time Fractional Differential Equations Using the Fractional Riccati Expansion Method [PDF]

Mathematical Problems in Engineering, 2013
The fractional Riccati expansion method is proposed to solve fractional differential equations. To illustrate the effectiveness of the method, space-time fractional Korteweg-de Vries equation, regularized long-wave equation, Boussinesq equation, and Klein-Gordon equation are considered.
Abdel-Salam, Emad A.-B., Yousif, Eltayeb A.   +1 more
openaire   +1 more source

Efficient Spectral Collocation Schemes for Nonlinear ψ-Caputo Fractional Riccati Differential Equations with Variable-Order

Contemporary Mathematics
This article presents a spectral method for estimating solutions of the nonlinear Variable-Order Caputo ψ-Fractional Riccati Differential Equation (VOC-ψ-FRDE).
A. Emin, M. Abdelkawy, A. Biswas
semanticscholar   +1 more source

Oscillation Behavior for a Class of Differential Equation with Fractional-Order Derivatives

Abstract and Applied Analysis, 2014
By using a generalized Riccati transformation technique and an inequality, we establish some oscillation theorems for the fractional differential equation [atpt+qtD-αxt)γ′ − b(t)f∫t∞‍(s-t)-αx(s)ds = 0, for t⩾t0>0, where D-αx is the Liouville right-sided ...
Shouxian Xiang, Zhenlai Han, Ping Zhao, Ying Sun   +3 more
doaj   +1 more source

On the simulation of fractional Riccati equations with physics-informed neural networks

Discover Applied Sciences
The Riccati equations are a classical type of nonlinear differential equations with important applications across mathematics, physics, and engineering.
Narendra Kumawat, Alok Bhargava
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Oscillation for a Class of Right Fractional Differential Equations on the Right Half Line with Damping

Discrete Dynamics in Nature and Society, 2019
In this paper, we discuss a class of fractional differential equations of the form D-α+1y(t)·D-αy(t)-p(t)f(D-αy(t))+q(t)h∫t∞(s-t)-αy(s)ds=0.D-αy(t) is the Liouville right-sided fractional derivative of order α∈(0,1).
Hui Liu, Run Xu
doaj   +1 more source