Series solutions of time-fractional PDEs by homotopy analysis method
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Publication:1015976
DOI10.1155/2008/686512zbMath1172.35305OpenAlexW2043909628WikidataQ58645334 ScholiaQ58645334MaRDI QIDQ1015976
Publication date: 4 May 2009
Published in: Differential Equations \& Nonlinear Mechanics (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/130719
Pseudodifferential operators as generalizations of partial differential operators (35S05) Fractional derivatives and integrals (26A33) Series solutions to PDEs (35C10) Other special methods applied to PDEs (35A25)
Related Items (13)
A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM) ⋮ Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel ⋮ Solving the fractional nonlinear Klein-Gordon equation by means of the homotopy analysis method ⋮ A new approach for the approximate analytical solution of space-time fractional differential equations by the homotopy analysis method ⋮ An improved spectral homotopy analysis method for MHD flow in a semi-porous channel ⋮ Two hybrid methods for solving two-dimensional linear time-fractional partial differential equations ⋮ High‐order compact finite difference and laplace transform method for the solution of time‐fractional heat equations with dirchlet and neumann boundary conditions ⋮ The homotopy analysis method for solving the time-fractional Fornberg-Whitham equation and comparison with Adomian's decomposition method ⋮ Optimum solutions of fractional order Zakharov-Kuznetsov equations ⋮ Approximate solutions of fractional Zakharov-Kuznetsov equations by VIM ⋮ Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent-Miodek system with energy-dependent Schrödinger potential ⋮ Analytical solutions for nonlinear fractional physical problems via natural homotopy perturbation method ⋮ Finite difference method with metaheuristic orientation for exploration of time fractional partial differential equations
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