Solving the fractional nonlinear Klein-Gordon equation by means of the homotopy analysis method
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Publication:1690874
DOI10.1186/1687-1847-2012-187zbMath1377.35270OpenAlexW2025001386WikidataQ59292512 ScholiaQ59292512MaRDI QIDQ1690874
Publication date: 12 January 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2012-187
Mittag-Leffler functions and generalizations (33E12) Nonlinear higher-order PDEs (35G20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)
Related Items (18)
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Uses Software
Cites Work
- Analysis of a time fractional wave-like equation with the homotopy analysis method
- Solving the fractional BBM-Burgers equation using the homotopy analysis method
- Series solutions of non-linear Riccati differential equations with fractional order
- Differential transform method for solving the linear and nonlinear Klein-Gordon equation
- On nonlinear fractional Klein-Gordon equation
- Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations
- Application of homotopy analysis method to fractional KdV-Burgers-Kuramoto equation
- Homotopy analysis method for fractional IVPs
- Notes on the homotopy analysis method: some definitions and theorems
- Analysis of nonlinear fractional partial differential equations with the homotopy analysis method
- Solving a system of nonlinear fractional partial differential equations using homotopy analysis method
- Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
- Series solutions of time-fractional PDEs by homotopy analysis method
- Series solutions of systems of nonlinear fractional differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
- An approximate solution technique not depending on small parameters: A special example
- Explicit solution to the exact Riemann problem and application in nonlinear shallow‐water equations
- Beyond Perturbation
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