Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems
In this paper, we use the fixed-point index to establish positive solutions for a system of Riemann–Liouville type fractional-order integral boundary value problems. Some appropriate concave and convex functions are used to characterize coupling behaviors of our nonlinearities.
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-08-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/9/480 |
| _version_ | 1797488269540196352 |
|---|---|
| author | Keyu Zhang Fehaid Salem Alshammari Jiafa Xu Donal O’Regan |
| author_facet | Keyu Zhang Fehaid Salem Alshammari Jiafa Xu Donal O’Regan |
| author_sort | Keyu Zhang |
| collection | DOAJ |
| description | In this paper, we use the fixed-point index to establish positive solutions for a system of Riemann–Liouville type fractional-order integral boundary value problems. Some appropriate concave and convex functions are used to characterize coupling behaviors of our nonlinearities. |
| first_indexed | 2024-03-09T23:59:40Z |
| format | Article |
| id | doaj.art-c2b981414ea04630851706496f2ca9a1 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T23:59:40Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-c2b981414ea04630851706496f2ca9a12023-11-23T16:19:20ZengMDPI AGFractal and Fractional2504-31102022-08-016948010.3390/fractalfract6090480Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value ProblemsKeyu Zhang0Fehaid Salem Alshammari1Jiafa Xu2Donal O’Regan3School of Mathematics, Qilu Normal University, Jinan 250013, ChinaDepartment of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh 11432, Saudi ArabiaSchool of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, ChinaSchool of Mathematical and Statistical Sciences, National University of Ireland, H91 TK33 Galway, IrelandIn this paper, we use the fixed-point index to establish positive solutions for a system of Riemann–Liouville type fractional-order integral boundary value problems. Some appropriate concave and convex functions are used to characterize coupling behaviors of our nonlinearities.https://www.mdpi.com/2504-3110/6/9/480Riemann–Liouville type fractional-order differential equationsintegral boundary value problemspositive solutionsfixed-point index |
| spellingShingle | Keyu Zhang Fehaid Salem Alshammari Jiafa Xu Donal O’Regan Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems Fractal and Fractional Riemann–Liouville type fractional-order differential equations integral boundary value problems positive solutions fixed-point index |
| title | Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems |
| title_full | Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems |
| title_fullStr | Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems |
| title_full_unstemmed | Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems |
| title_short | Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems |
| title_sort | positive solutions for a system of riemann liouville type fractional order integral boundary value problems |
| topic | Riemann–Liouville type fractional-order differential equations integral boundary value problems positive solutions fixed-point index |
| url | https://www.mdpi.com/2504-3110/6/9/480 |
| work_keys_str_mv | AT keyuzhang positivesolutionsforasystemofriemannliouvilletypefractionalorderintegralboundaryvalueproblems AT fehaidsalemalshammari positivesolutionsforasystemofriemannliouvilletypefractionalorderintegralboundaryvalueproblems AT jiafaxu positivesolutionsforasystemofriemannliouvilletypefractionalorderintegralboundaryvalueproblems AT donaloregan positivesolutionsforasystemofriemannliouvilletypefractionalorderintegralboundaryvalueproblems |