Variational Methods for the Fractional Sturm--Liouville Problem

By Malgorzata Klimek, Tatiana Odzijewicz, Agnieszka B. Malinowska. 2013

106 citations recorded by the source corpus.

This article is devoted to the regular fractional Sturm--Liouville eigenvalue problem. Applying methods of fractional variational analysis we prove existence of countable set of orthogonal solutions and corresponding eigenvalues. Moreover, we formulate two results showing that the lowest eigenvalue is the minimum value for a certain variational functional.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/e206133e4a37efead29aa6786eb1c052844b029d

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In Applied Mathematics

1. Mohamed Ali Hajji
2. Q. Al‐Mdallal
3. Thabet Abdeljawad

In Modeling and Simulation

1. Mohamed Ali Hajji
2. Q. Al‐Mdallal
3. Thabet Abdeljawad
4. G. Em Karniadakis
5. Mohsen Zayernouri

Citations in the corpus

• A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems (2015, methodology): “These techniques include the Adomian’s decomposition method [33], the homotopy perturbation method [6, 3, 42], the variation iteration method [26], the variational iteration method considering Adomian’s polynomials approximation for nonlinear terms [23], the fractional differential transform method ”