Existence of solutions for a mixed fractional boundary value problem
In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional derivatives. For this, we convert the posed problem to a sum of two integral operators, then we apply Krasnoselskii’s fixed point theorem to conclude...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/61809/ http://psasir.upm.edu.my/id/eprint/61809/1/Existence%20of%20solutions%20for%20a%20mixed.pdf |
| _version_ | 1848854493512335360 |
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| author | Lakoud, Assia Guezane Khaldi, Rabah Kilicman, Adem |
| author_facet | Lakoud, Assia Guezane Khaldi, Rabah Kilicman, Adem |
| author_sort | Lakoud, Assia Guezane |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional derivatives. For this, we convert the posed problem to a sum of two integral operators, then we apply Krasnoselskii’s fixed point theorem to conclude the existence of nontrivial solutions. |
| first_indexed | 2025-11-15T11:10:45Z |
| format | Article |
| id | upm-61809 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:10:45Z |
| publishDate | 2017 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-618092019-01-29T06:11:05Z http://psasir.upm.edu.my/id/eprint/61809/ Existence of solutions for a mixed fractional boundary value problem Lakoud, Assia Guezane Khaldi, Rabah Kilicman, Adem In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional derivatives. For this, we convert the posed problem to a sum of two integral operators, then we apply Krasnoselskii’s fixed point theorem to conclude the existence of nontrivial solutions. SpringerOpen 2017-12 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/61809/1/Existence%20of%20solutions%20for%20a%20mixed.pdf Lakoud, Assia Guezane and Khaldi, Rabah and Kilicman, Adem (2017) Existence of solutions for a mixed fractional boundary value problem. Advances in Difference Equations, 164. pp. 1-9. ISSN 1687-1839; ESSN: 1687-1847 https://link.springer.com/article/10.1186/s13662-017-1226-y 10.1186/s13662-017-1226-y |
| spellingShingle | Lakoud, Assia Guezane Khaldi, Rabah Kilicman, Adem Existence of solutions for a mixed fractional boundary value problem |
| title | Existence of solutions for a mixed fractional boundary value problem |
| title_full | Existence of solutions for a mixed fractional boundary value problem |
| title_fullStr | Existence of solutions for a mixed fractional boundary value problem |
| title_full_unstemmed | Existence of solutions for a mixed fractional boundary value problem |
| title_short | Existence of solutions for a mixed fractional boundary value problem |
| title_sort | existence of solutions for a mixed fractional boundary value problem |
| url | http://psasir.upm.edu.my/id/eprint/61809/ http://psasir.upm.edu.my/id/eprint/61809/ http://psasir.upm.edu.my/id/eprint/61809/ http://psasir.upm.edu.my/id/eprint/61809/1/Existence%20of%20solutions%20for%20a%20mixed.pdf |