Abstract
In this paper, we define a Generalized Fractional Sturm-Liouville Operator (GFSLO) and introduce a regular Generalized Fractional Sturm-Liouville Problem. In the construction of the operator and the problem, we apply a generalized fractional derivatives built using a general kernel. We investigate the properties of the eigenfunctions and the eigenvalues of the GFSLO, and demonstrate that these properties are analogous to those for classical Sturm-Liouville Operator dependent on first-order derivatives. As an example, we study the case when the integrals and the resulting derivatives are built using the generalized Mittag-Leffler function as a kernel.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
