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

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