Results 41 to 50 of about 38,686 (159)

The Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method

Scientific African
In this paper, the Modified Homogeneous Balance Method, which is embedded with a fractional Riccati equation, is used to find exact solutions to the fractional Burger’s equation.
Francis Tuffour, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj   +1 more source

Oscillation for a Class of Fractional Differential Equation

Discrete Dynamics in Nature and Society, 2013
We consider the oscillation for a class of fractional differential equation [r(t)g(D-αy)(t)]'-p(t)f∫t∞‍(s-t)-αy(s)ds=0, for t>0, where ...
Zhenlai Han, Yige Zhao, Ying Sun, Chao Zhang   +3 more
doaj   +1 more source

Fractional-order Riccati differential equation: Analytical approximation and numerical results [PDF]

Advances in Difference Equations, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khan, Najeeb, Ara, Asmat, Alam Khan, Nadeem   +2 more
openaire   +2 more sources

A New Approach for Solving Fractional Partial Differential Equations

Journal of Applied Mathematics, 2013
We propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and ...
Fanwei Meng
doaj   +1 more source

Oscillation of a time fractional partial differential equation

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, S. Harikrishnan, Juan Nieto, Jeong Hoon Kim   +3 more
doaj   +1 more source

Solution of Moving Boundary Space-Time Fractional Burger’s Equation

Journal of Applied Mathematics, 2014
The fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger’s equation is studied.
E. A.-B. Abdel-Salam, E. A. Yousif, Y. A. S. Arko, E. A. E. Gumma   +3 more
doaj   +1 more source

Distinct solutions of nonlinear space–time fractional evolution equations appearing in mathematical physics via a new technique

Partial Differential Equations in Applied Mathematics, 2021
In this paper, we furnished novel and different traveling wave solutions to the nonlinear space–time fractional Klein–Gordon (KG) equation and the nonlinear space–time fractional symmetric regularized long wave (SRLW) equation.
Md. Tarikul Islam, Mst. Armina Akter
doaj   +1 more source

Bäcklund Transformation of Fractional Riccati Equation and Infinite Sequence Solutions of Nonlinear Fractional PDEs

Abstract and Applied Analysis, 2014
The Bäcklund transformation of fractional Riccati equation with nonlinear superposition principle of solutions is employed to establish the infinite sequence solutions of nonlinear fractional partial differential equations in the sense of modified ...
Bin Lu
doaj   +1 more source

Some Aspects of Numerical Analysis for a Model Nonlinear Fractional Variable Order Equation

Mathematical and Computational Applications, 2021
The article proposes a nonlocal explicit finite-difference scheme for the numerical solution of a nonlinear, ordinary differential equation with a derivative of a fractional variable order of the Gerasimov–Caputo type.
Roman Parovik, Dmitriy Tverdyi
doaj   +1 more source

The Existence and Uniqueness of Riccati Fractional Differential Equation Solution and Its Approximation Applied to an Economic Growth Model

Mathematics, 2022
This work proposes and investigates the existence and uniqueness of solutions of Riccati Fractional Differential Equation (RFDE) with constant coefficients using Banach’s fixed point theorem.
M. D. Johansyah, Asep K. Supriatna, E. Rusyaman, Jumadil Saputra   +3 more
semanticscholar   +1 more source