Positive solutions of nabla fractional Sturm--Liouville problems
The Bulletin of Irkutsk State University. Series Mathematics, Tome 51 (2025), pp. 50-65
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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, cone
Mots-clés : Sturm–Liouville problem, existence, positive solution.
Mots-clés : Sturm–Liouville problem, existence, positive solution.
@article{IIGUM_2025_51_a3,
author = {J. M. Jonnalagadda and J. E. N\'apoles Vald\'es},
title = {Positive solutions of nabla fractional {Sturm--Liouville} problems},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {50--65},
publisher = {mathdoc},
volume = {51},
year = {2025},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2025_51_a3/}
}
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%0 Journal Article %A J. M. Jonnalagadda %A J. E. Nápoles Valdés %T Positive solutions of nabla fractional Sturm--Liouville problems %J The Bulletin of Irkutsk State University. Series Mathematics %D 2025 %P 50-65 %V 51 %I mathdoc %U http://geodesic.mathdoc.fr/item/IIGUM_2025_51_a3/ %G en %F IIGUM_2025_51_a3
J. M. Jonnalagadda; J. E. Nápoles Valdés. Positive solutions of nabla fractional Sturm--Liouville problems. The Bulletin of Irkutsk State University. Series Mathematics, Tome 51 (2025), pp. 50-65. http://geodesic.mathdoc.fr/item/IIGUM_2025_51_a3/