A q-fractional approach to the regular Sturm-Liouville problems
Date
2017-03-28
Authors
AL-Towailb, Maryam A.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study the regular q-fractional Sturm-Liouville problems that include the right-sided Caputo q-fractional derivative and the left-sided Riemann-Liouville q-fractional derivative of the same order, α ∈ (0, 1). We prove properties of the eigenvalues and the eigenfunctions in a certain Hilbert space. We use a fixed point theorem for proving the existence and uniqueness of the eigenfunctions. We also present an example involving little q-Legendre polynomials.
Description
Keywords
Boundary value problems, Eigenvalues and eigenfunctions, Left and right sided Riemann-Liouville, Caputo q-fractional derivatives
Citation
AL-Towailb, M. A. (2017). A q-fractional approach to the regular Sturm-Liouville problems. Electronic Journal of Differential Equations, 2017(88), pp. 1-13.
Rights
Attribution 4.0 International