Integro-differential equations and functional analysis

Positive solutions of nabla fractional Sturm–Liouville problems

J. M. Jonnalagadda^a, J. E. Nápoles Valdés<sup>bc

a</sup> Birla Institute of Technology and Science, Pilani, Hyderabad, Telangana, India
^b National University of the Northeast, Corrientes, Argentina
^c National Technological University, Resistencia, Argentina

Abstract: This article discusses the existence of positive solutions to Sturm–Liouville boundary value problems for Riemann–Liouville nabla fractional difference equations. The results obtained here shall generalize the existing ones. We provide a few examples to illustrate the applicability of established results.

Keywords: Riemann–Liouville fractional difference, Sturm–Liouville problem, cone, existence, positive solution.

UDC: 517.9

MSC: 34A08, 39A12, 39A27

Received: 03.07.2024
Revised: 25.08.2024
Accepted: 28.09.2024

Language: English

DOI: 10.26516/1997-7670.2025.51.50