Approximate rational Jacobi elliptic function solutions of the fractional differential equations via the enhanced Adomian decomposition method

DOI10.1016/j.physleta.2010.05.057zbMath1238.34004OpenAlexW2068798992MaRDI QIDQ420335

Wei-Guo Wang, Lina Song

Publication date: 22 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.05.057

zbMATH Keywords

fractional differential equationapproximate rational Jacobi elliptic function solutionenhanced Adomian decomposition method

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Decomposition methods (49M27) Elliptic functions and integrals (33E05)

Related Items (5)

Numerical solution of fractional differential equations using hybrid Bernoulli polynomials and block pulse functions ⋮ A new improved Adomian decomposition method and its application to fractional differential equations ⋮ A space-time fractional derivative model for European option pricing with transaction costs in fractal market ⋮ Analytical approximate solutions for differential equations with generalized Caputo-type fractional derivatives ⋮ Analytical novel solutions to the fractional optical dynamics in a medium with polynomial law nonlinearity and higher order dispersion with a new local fractional derivative

Cites Work

• Solving the fractional BBM-Burgers equation using the homotopy analysis method
• Numerical solution of Fokker-Planck equation with space- and time-fractional derivatives
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• An explicit, totally analytic approximate solution for Blasius' viscous flow problems
• An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method
• A review of the decomposition method in applied mathematics
• Solving frontier problems of physics: the decomposition method
• On the homotopy analysis method for nonlinear problems.
• Application of variational iteration method to nonlinear differential equations of fractional order
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Analytical approximate solutions for nonlinear fractional differential equations
• Homotopy perturbation technique
• The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
• Numerical methods for nonlinear partial differential equations of fractional order
• Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method
• Numerical Solutions of Fractional Boussinesq Equation
• Application of a variational iteration method to linear and nonlinear viscoelastic models with fractional derivatives
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