Abstract
We study the Sturm–Liouville eigenvalue problem with Caputo fractional derivatives and show that fractional variational principles are useful for proving existence of eigenvalues and eigenfunctions.
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Malinowska, A.B., Odzijewicz, T., Torres, D.F.M. (2015). Application to the Sturm–Liouville Problem. In: Advanced Methods in the Fractional Calculus of Variations. SpringerBriefs in Applied Sciences and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-14756-7_6
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DOI: https://doi.org/10.1007/978-3-319-14756-7_6
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