On convergence of homotopy analysis method and its modification for fractional modified KdV equations
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Publication:980414
DOI10.1007/s12190-009-0274-1zbMath1193.35178OpenAlexW1991069545MaRDI QIDQ980414
O. Abdulaziz, A. Sami Bataineh, Ishak Hashim
Publication date: 29 June 2010
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-009-0274-1
Caputo's fractional derivativehomotopy analysis methodfractional modified Korteweg-de Vries equations
KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic expansions of solutions to PDEs (35C20) Fractional partial differential equations (35R11)
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AN OPTIMAL HOMOTOPY ANALYSIS METHOD BASED ON PARTICLE SWARM OPTIMIZATION: APPLICATION TO FRACTIONAL-ORDER DIFFERENTIAL EQUATION, Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation, Solution of the one-phase inverse Stefan problem by using the homotopy analysis method, Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind
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