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- W2315743023 abstract "We investigate the eigenvalue curves, the behavior of the periodic solutions, and the orthogonality properties of the Mathieu equation with an additional fractional derivative term using the method of harmonic balance. The addition of the fractional derivative term breaks the hermiticity of the equation in such a way that its eigenvalues need not be real nor its eigenfunctions orthogonal. We show that for a certain choice of parameters the eigenvalue curves reveal the appearance of degenerate eigenvalues. We offer a detailed discussion of the matrix representation of the differential operator corresponding to the fractional Mathieu equation, as well as some numerical examples of its periodic solutions." @default.
- W2315743023 created "2016-06-24" @default.
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- W2315743023 date "2016-03-01" @default.
- W2315743023 modified "2023-10-07" @default.
- W2315743023 title "Periodic Solutions, Eigenvalue Curves, and Degeneracy of the Fractional Mathieu Equation" @default.
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- W2315743023 doi "https://doi.org/10.1088/1742-6596/698/1/012005" @default.
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