On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals
In this paper, the existence result of at least two positive solutions is obtained for a nonlinear Riemann-Liouville fractional differential equation subject to nonlocal boundary conditions, where fractional derivatives and Riemann-Stieltjes integrals are involved. The nonlinearity possesses singula...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/6154626 |
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| _version_ | 1832559516246343680 |
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| author | Lufeng Gu Qiuyan Zhong Zhuyan Shao |
| author_facet | Lufeng Gu Qiuyan Zhong Zhuyan Shao |
| author_sort | Lufeng Gu |
| collection | DOAJ |
| description | In this paper, the existence result of at least two positive solutions is obtained for a nonlinear Riemann-Liouville fractional differential equation subject to nonlocal boundary conditions, where fractional derivatives and Riemann-Stieltjes integrals are involved. The nonlinearity possesses singularities on both its time and space variables. The discussion is based on the fixed point index theory on cones. |
| format | Article |
| id | doaj-art-d35fcd30e5d34f74893b349999965591 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d35fcd30e5d34f74893b3499999655912025-02-03T01:29:51ZengWileyJournal of Function Spaces2314-88882023-01-01202310.1155/2023/6154626On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes IntegralsLufeng Gu0Qiuyan Zhong1Zhuyan Shao2School of Medical Information EngineeringCenter for Information TechnologySchool of Medical Information EngineeringIn this paper, the existence result of at least two positive solutions is obtained for a nonlinear Riemann-Liouville fractional differential equation subject to nonlocal boundary conditions, where fractional derivatives and Riemann-Stieltjes integrals are involved. The nonlinearity possesses singularities on both its time and space variables. The discussion is based on the fixed point index theory on cones.http://dx.doi.org/10.1155/2023/6154626 |
| spellingShingle | Lufeng Gu Qiuyan Zhong Zhuyan Shao On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals Journal of Function Spaces |
| title | On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals |
| title_full | On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals |
| title_fullStr | On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals |
| title_full_unstemmed | On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals |
| title_short | On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals |
| title_sort | on multiple positive solutions for singular fractional boundary value problems with riemann stieltjes integrals |
| url | http://dx.doi.org/10.1155/2023/6154626 |
| work_keys_str_mv | AT lufenggu onmultiplepositivesolutionsforsingularfractionalboundaryvalueproblemswithriemannstieltjesintegrals AT qiuyanzhong onmultiplepositivesolutionsforsingularfractionalboundaryvalueproblemswithriemannstieltjesintegrals AT zhuyanshao onmultiplepositivesolutionsforsingularfractionalboundaryvalueproblemswithriemannstieltjesintegrals |