Construction of analytic solution for time-fractional Boussinesq equation using iterative method

DOI10.1155/2015/506140zbMath1375.35617OpenAlexW2178194213WikidataQ59102494 ScholiaQ59102494MaRDI QIDQ277738

F. Blanchet-Sadri, M. Dambrine

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/506140

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Iteration theory, iterative and composite equations (39B12) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

Related Items (8)

An iterative method for time-fractional Swift-Hohenberg equation ⋮ Asymptotic solutions of time-space fractional coupled systems by residual power series method ⋮ A semi‐analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers ⋮ Homotopy series solutions to time-space fractional coupled systems ⋮ A new Mittag-Leffler function undetermined coefficient method and its applications to fractional homogeneous partial differential equations ⋮ Asymptotic expansion of the solutions to time-space fractional Kuramoto-Sivashinsky equations ⋮ Pure traveling wave solutions for three nonlinear fractional models ⋮ Construction of fractional power series solutions to fractional Boussinesq equations using residual power series method

Uses Software

• sysdfod
• DFOC

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Gravitational field of fractal distribution of particles
• An iterative method for solving nonlinear functional equations
• Modified variational iteration method for Boussinesq equation
• Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
• Solution of fractional partial differential equations using iterative method
• Time-fractional Burgers equation for dust acoustic waves in a two different temperatures dusty plasma
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
• Fractional generalization of gradient and Hamiltonian systems

This page was built for publication: Construction of analytic solution for time-fractional Boussinesq equation using iterative method