An approximate solution for a fractional model of generalized Harry Dym equation

DOI10.1007/s40096-015-0137-xzbMath1405.65138OpenAlexW2093612302WikidataQ59318407 ScholiaQ59318407MaRDI QIDQ1992127

Kamel Al-Khaled, Marwan Alquran

Publication date: 2 November 2018

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-015-0137-x

zbMATH Keywords

approximate solutionfractional calculusAdomian decompositioncaputa derivativegeneralized Harry Dym equation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

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Cites Work

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• Decomposition methods: A new proof of convergence
• The generalized Harry Dym equation
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• An approximate solution for a fractional diffusion-wave equation using the decomposition method
• Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative
• Soliton solutions of the \((2+1)\)-dimensional Harry Dym equation via Darboux transformation
• Convergence of Adomian's Method
• Coupled Harry Dym equations with multi-Hamiltonian structures
• Explicit solutions for the Harry Dym equation
• Exact Solutions of the Harry—Dym Equation
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