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- W958238625 abstract "We study a regular fractional Sturm-Liouville problem formulated using left and right Riemann-Liouville derivatives of order in the range (1,2). We prove a theorem describing the eigenvalues and eigenfunctions of such a problem considered on the space of functions continuously differentiable in a finite interval and obeying vanishing Dirichlet and fractional Neumann boundary conditions. It appears that the spectrum of eigenvalues is discrete and that the eigenfunctions form a basis in the space of square-integrable functions. We also show applications of the derived eigenfunctions in the theory of partial fractional differential equations." @default.
- W958238625 created "2016-06-24" @default.
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- W958238625 date "2015-01-01" @default.
- W958238625 modified "2023-09-29" @default.
- W958238625 title "Regular Sturm-Liouville Problem with Riemann-Liouville Derivatives of Order in (1,2): Discrete Spectrum, Solutions and Applications" @default.
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- W958238625 doi "https://doi.org/10.1007/978-3-319-09900-2_3" @default.
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