Concepedia

Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves

Sunil Kumar, Dumitru Bǎleanu

Nonlinear Dynamics · 2016 · 213 citations · 34 references

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References

34

On the homotopy analysis method for nonlinear problems

Shijun Liao · Applied Mathematics and Computation · 2003 · 1.8K citations

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Homotopy perturbation method: a new nonlinear analytical technique

Ji‐Huan He · Applied Mathematics and Computation · 2002 · 1.6K citations

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Advances in Fractional Calculus : Theoretical Developments and Applications in Physics and Engineering

Jocelyn Sabatier · HAL (Le Centre pour la Communication Scientifique Directe) · 2007 · 1.1K citations

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An optimal homotopy-analysis approach for strongly nonlinear differential equations

Shijun Liao · Communications in Nonlinear Science and Numerical Simulation · 2009 · 998 citations

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Generalized Taylor’s formula

Zaid Odibat, Nabil Shawagfeh · Applied Mathematics and Computation · 2006 · 947 citations