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Variational Approximation for Fractional Sturm–Liouville Problem by Prashant K. Pandey; Rajesh K. Pandey; Om P. Agrawal is a Mathematics article available to read on EtoBox.

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In this paper, we consider a regular Fractional Sturm-Liouville Problem (FSLP) of order μ (0 < μ < 1). We approximate the eigenvalues and eigenfunctions of the problem using a fractional variational approach. Recently, Klimek et al. [16] presented the variational approach for FSLPs defined in terms of Caputo derivatives and obtained eigenvalues, eigenfunctions for a special range of fractional order 1/2 < μ < 1. Here, we extend the variational approach for the FSLPs and approximate the eigenvalues and eigenfunctions of the FSLP for fractional-order μ (0 < μ < 1). We also prove that the FSLP has countably infinite eigenvalues and corresponding eigenfunctions.

Who reads Variational Approximation for Fractional Sturm–Liouville Problem?

Author

Prashant K. Pandey; Rajesh K. Pandey; Om P. Agrawal

Publisher

Springer Science and Business Media LLC

Published

2020

Language

EN

Field

Mathematics (Physical Sciences)