An approximate solution of nonlinear fractional reaction-diffusion equation

DOI10.1016/j.apm.2011.02.004zbMath1221.35436OpenAlexW2095377311MaRDI QIDQ639184

Praveen Kumar Gupta, P. Ghosh, Subir Das

Publication date: 18 September 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.02.004

zbMATH Keywords

fractional Brownian motiondiffusion equationreactionCaputo derivativehomotopy perturbation methodnon-linear differential equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) 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

• A note on fractional diffusion equations
• Traveling waves to A reaction-diffusion equation
• Travelling waves and finite propagation in a reaction-diffusion equation
• An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method: a new nonlinear analytical technique
• New ideas for proving convergence of decomposition methods
• Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
• Homotopy perturbation technique
• The Balance Between Strong Reaction And Slow Diffusion
• Fractional diffusion equation on fractals: one-dimensional case and asymptotic behaviour
• Travelling wave behaviour for a Porous-Fisher equation

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