Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1186/s13662-017-1226-y |
| Publisher: | SpringerOpen |
| Keywords: | Boundary value problem; Fractional derivative; Fixed point theorem; Existence of solution; Integral equation |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 29 Jan 2019 06:11 |
| Last Modified: | 29 Jan 2019 06:11 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/s13662-017-1226-y |
| URI: | http://psasir.upm.edu.my/id/eprint/61809 |
| Statistic Details: | View Download Statistic |
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