A new fractional subequation method and its applications for space-time fractional partial differential equations

DOI10.1155/2013/481729zbMath1271.35068OpenAlexW1979268390WikidataQ59006188 ScholiaQ59006188MaRDI QIDQ364397

Qinghua Feng, Fan Wei Meng

Publication date: 9 September 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/481729

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08) Fractional partial differential equations (35R11)

Related Items

Exact solutions with variable coefficient function forms for conformable fractional partial differential equations by an auxiliary equation method, Observer design for a class of nonlinear fractional-order systems with unknown input, An Anylatical approach for space–time fractal order nonlinear dynamics of microtubules, A new approach for seeking coefficient function solutions of conformable fractional partial differential equations based on the Jacobi elliptic equation, The asymptotic behavior of solutions for a class of nonlinear fractional difference equations with damping term, The existence results of solutions for system of fractional differential equations with integral boundary conditions, A Gohberg-Semencul type formula for the inverse of conjugate-Toeplitz matrix and applications, On the solutions of the space and time fractional Benjamin-Bona-Mahony equation, The modified Kudryashov method for solving some fractional-order nonlinear equations

Cites Work

• A numeric-analytic method for time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative
• Fractional variational iteration method and its application
• Numerical simulation of generalized Hirota-Satsuma coupled KdV equation by RDTM and comparison with DTM
• The fractional variational iteration method using He's polynomials
• Fractional sub-equation method and its applications to nonlinear fractional PDEs
• The homotopy perturbation method applied to the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equations
• A fractional variational iteration method for solving fractional nonlinear differential equations
• The fractional variational iteration method improved with the Adomian series
• Compact finite difference method for the fractional diffusion equation
• A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends
• The Adomian decomposition method for solving partial differential equations of fractal order in finite domains
• Adomian's decomposition method for solving an intermediate fractional advection-dispersion equation
• The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics
• Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics