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|title: ||Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems|
|authors: ||Almeida, Ricardo|
Malinowska, Agnieszka B.
Morgado, M. Luísa
|keywords: ||Fractional Sturm–Liouville problem|
Fractional calculus of variations
Discrete fractional calculus
Continuous fractional calculus
|issue date: ||2017|
|publisher: ||Mathematical Sciences Publishers|
|abstract: ||The fractional Sturm–Liouville eigenvalue problem appears in many situations, e.g.,
while solving anomalous diffusion equations coming from physical and engineering applications.
Therefore to obtain solutions or approximation of solutions to this problem is of great importance.
Here, we describe how the fractional Sturm–Liouville eigenvalue problem can be
formulated as a constrained fractional variational principle and show how such formulation can
be used in order to approximate the solutions. Numerical examples are given, to illustrate the
|publisher version/DOI: ||http://dx.doi.org/10.2140/jomms.2017.12-1|
|source: ||Journal of Mechanics of Materials and Structures|
|appears in collections||CIDMA - Artigos|
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