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Existence of solutions for a mixed fractional boundary value problem


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


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
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