Open Access Open Access  Restricted Access Subscription or Fee Access

Conformable Discontinuous Sturm-Liouville Problem with Applied Results

Ahu Ercan


In this article, we present some substantial spectral data for discontinuous fractional Sturm-Liouville equation involving conformable fractional derivative. We prove that the discontinuous fractional Sturm-Liouville operator is symmetric, the eigenvalues are real and the
eigenfunctions corresponding to different eigenvalues are orthogonal. The given spectral data like representations of the solutions under different initial conditions, the asymptotics for the eigenfunctions and eigenvalues are applied in terms of limit based local derivative. Also, visual results are demonstrated with graphics for different orders and different potentials to check the behaviours of the solutions.


discontinuous Sturm-Liouville equation, conformable derivative, asymptotic formula, spectral data.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.