Abstract
This paper studies a class of integral boundary value problems of fractional differential equations with a disturbance parameter on an infinite interval. By applying the upper-lower solution method and fixed point index theory, the influence of the disturbance parameter on the existence of positive solutions is rigorously analyzed. We have obtained that the boundaryvalue problem admits at least twopositive solutions, one positivesolution or no solution. An example is provided to validate the results. The results of this study provide a significant complement and refinement to some existing findings.
Recommended Citation
Z. Hao et al., "Positive Solutions For Nonlinear Fractional Differential Equations With A Disturbance Parameter On An Infinite Interval," Boletim Da Sociedade Paranaense De Matematica, vol. 44, no. 7, Universidade Estadual de Maringá; Sociedade Paranaense de Matemática, Feb 2026.
The definitive version is available at https://doi.org/10.5269/bspm.82038
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
Boundary value problem; disturbance parameter; fractional differential equation; infinite interval; positive solution
International Standard Serial Number (ISSN)
2175-1188; 0037-8712
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2026 Universidade Estadual de Maringá; Sociedade Paranaense de Matemática, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
21 Feb 2026
