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.
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     author = {J. M. Jonnalagadda and J. E. N\'apoles Vald\'es},
     title = {Positive solutions of nabla fractional {Sturm--Liouville} problems},
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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/