Solution of nonlinear oscillators with fractional nonlinearities by using the modified differential transformation method

DOI10.3390/mca16030761zbMath1246.65114OpenAlexW2183007503MaRDI QIDQ424024

Ahmet Gökdoğan, Mehmet Merdan

Publication date: 30 May 2012

Published in: Mathematical \& Computational Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/mca16030761

zbMATH Keywords

Laplace transformcomparison of methodsnumerical examplesPadé approximantsfourth-order Runge-Kutta methoddifferential transform methodCos-AT and Sine-AT methodnonlinear oscillators with fractional nonlinearites

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

Symmetry classification and exact solutions of a variable coefficient space-time fractional potential Burgers' equation ⋮ On numerical solution to fractional nonlinear oscillatory equations ⋮ Numerical simulation of fractional Fornberg-Whitham equation by differential transformation method ⋮ Solution of time‐fractional generalized Hirota‐Satsuma coupled KdV equation by generalised differential transformation method

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