Exact solutions of fractional Burgers and Cahn-Hilliard equations using extended fractional Riccati expansion method

DOI10.1155/2014/104069zbMath1407.35214OpenAlexW2095381905WikidataQ59062850 ScholiaQ59062850MaRDI QIDQ1717667

Huizhang Yang, Wei Li, Bin He

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/104069

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

Related Items

The two variable \((\phi^\prime/\phi, 1/\phi)\)-expansion method for solving the time-fractional partial differential equations, Application of residual power series method to fractional coupled physical equations arising in fluids flow, Analytical solution of the space-time fractional nonlinear Schrödinger equation, The extended fractional \((D_\xi^\alpha G / G)\)-expansion method and its applications to a space-time fractional Fokas equation, Application of fractional sub-equation method to nonlinear evolution equations, Solution of moving boundary space-time fractional Burger's equation

Cites Work

• Unnamed Item
• Unnamed Item
• Fractional variational iteration method and its application
• The fractional variational iteration method using He's polynomials
• Fractional sub-equation method and its applications to nonlinear fractional PDEs
• The first integral method for some time fractional differential equations
• Solution of nonlinear space-time fractional differential equations using the fractional Riccati expansion method
• Parametric spline functions for the solution of the one time fractional Burgers equation
• Compact finite difference method for the fractional diffusion equation
• The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
• Fractional complex transforms for fractional differential equations
• A conservative difference scheme for the viscous Cahn--Hilliard equation with a nonconstant gradient energy coefficient
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
• The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics
• Fractional subequation method for Cahn-Hilliard and Klein-Gordon equations
• Improved \((G'/G)\)-expansion method for the space and time fractional foam drainage and KdV equations
• Fractional complex transform and exp-function methods for fractional differential equations
• A numerical method for the Cahn-Hilliard equation with a variable mobility
• Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
• A generalized fractional sub-equation method for fractional differential equations with variable coefficients
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Local Fractional Fokker-Planck Equation
• ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
• On a quasi-linear parabolic equation occurring in aerodynamics
• The random walk's guide to anomalous diffusion: A fractional dynamics approach