Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/21364
Title: | On a Fractional Oscillator Equation with Natural Boundary Conditions |
Author: | Guezane-Lakoud, Assia Khaldi, Rabah Torres, Delfim F. M. |
Keywords: | Boundary value problems Fractional derivatives Upper and lower solutions method Existence of solutions Integral equations |
Issue Date: | 2017 |
Publisher: | Natural Science Publishing |
Abstract: | We prove existence of solutions for a nonlinear fractional oscillator equation with both left Riemann–Liouville and right Caputo fractional derivatives subject to natural boundary conditions. The proof is based on a transformation of the problem into an equivalent lower order fractional boundary value problem followed by the use of an upper and lower solutions method. To succeed with such approach, we first prove a result on the monotonicity of the right Caputo derivative. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/21364 |
DOI: | 10.18576/pfda/030302 |
ISSN: | 2356-9336 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[361]Guezane_Khaldi_Torres.pdf | 179.35 kB | Adobe PDF | View/Open |
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