dc.contributor.author |
Özarslan, Mehmet Ali |
|
dc.contributor.author |
Aktuğlu, Hüseyin |
|
dc.date.accessioned |
2017-10-23T08:21:36Z |
|
dc.date.available |
2017-10-23T08:21:36Z |
|
dc.date.issued |
2013 |
|
dc.identifier.issn |
1687-1847, 1687-1839(print) |
|
dc.identifier.uri |
http://dx.doi.org/10.1186/1687-1847-2013-358 |
|
dc.identifier.uri |
http://hdl.handle.net/11129/3459 |
|
dc.description |
The file in this item is the publisher version (published version) of the article |
en_US |
dc.description.abstract |
In this paper, we study the existence of solutions for non-linear fractional differential
equations of order 2 < α ≤ 3 involving the p-Laplacian operator with various
boundary value conditions including an anti-periodic case. By using the Banach
contraction mapping principle, we prove that, under certain conditions, the
suggested non-linear fractional boundary value problem involving the p-Laplacian
operator has a unique solution for both cases of 0 < p < 1 and p ≥ 2. Finally, we
illustrate our results with some examples. |
en_US |
dc.language.iso |
eng |
en_US |
dc.publisher |
Springer International Publishing AG |
en_US |
dc.relation.isversionof |
10.1186/1687-1847-2013-358 |
en_US |
dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
dc.subject |
MATHEMATICS, APPLIED, fractional derivative, MATHEMATICS |
en_US |
dc.subject |
Caputo fractional derivative, EXISTENCE, p-Laplacian operators, |
en_US |
dc.subject |
Caputo fractional boundary value problem, boundary value problem, anti-periodic boundary value problem |
en_US |
dc.subject |
Fractional integral, Boundary value problem |
en_US |
dc.title |
Solvability of differential equations of order 2 < alpha <= 3 involving the p-Laplacian operator with boundary conditions |
en_US |
dc.type |
article |
en_US |
dc.relation.journal |
Advances in Difference Equations |
en_US |
dc.contributor.department |
Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics |
en_US |
dc.identifier.volume |
1 |
en_US |
dc.identifier.startpage |
358 |
en_US |
dc.identifier.endpage |
371 |
en_US |