Positive Solutions of Nabla Fractional Sturm-Liouville Problems

被引：0

作者：

Jonnalagadda, Jagan Mohan ^{[1
]}

Valdes, Juan E. Napoles ^{[2
,3
]}

机构：

[1] Birla Inst Technol & Sci Pilani, Hyderabad 500078, Telangana, India

[2] Natl Univ Northeast, RA-3400 Corrientes, Argentina

[3] Natl Technol Univ, RA-3500 Resistencia, Argentina

来源：

BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS | 2025年 / 51卷

关键词：

Riemann-Liouville fractional difference; Sturm-Liouville problem; cone; existence; positive solution;

D O I：

10.26516/1997-7670.2025.51.50

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：50 / 65

页数：16

共 12 条

[1]

Ahrendt K., 2012, COMMUNICATIONS APPL, V16, P317

[2]

Atıcı FM, 2019, Computational and Mathematical Biophysics, V7, P10, DOI [10.1515/cmb-2019-0002, 10.1515/cmb-2019-0002]

[3] Discrete fractional cobweb models [J].

Bohner, Martin ;

Jonnalagadda, Jagan Mohan .

CHAOS SOLITONS & FRACTALS, 2022, 162

[4]

Eralp B., 2020, Adv. Dyn. Syst. Appl., V15, P79

[5]

Ferreira R.A.C., 2022, SpringerBriefs in Mathematics

[6]

Goodrich C., 2015, DISCRETE FRACTIONAL

[7]

Guo D.J., 1988, Notes and Reports in Mathematics in Science and Engineering, V5

[8] Lyapunov inequalities for nabla Caputo boundary value problems [J].

Ikram, Areeba .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019, 25 (06) :757-775

[9]

Jonnalagadda J.M., 2018, Adv. Dyn. Syst. Appl, V13, P141

[10]

Jonnalagadda JM, 2023, Foundations, V3, P181, DOI [10.3390/foundations3020016, DOI 10.3390/FOUNDATIONS3020016]

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