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Oscillation of fractional order functional differential equations with nonlinear damping

Authors :
Bayram Mustafa
Adiguzel Hakan
Ogrekci Suleyman
Source :
Open Physics, Vol 13, Iss 1 (2015)
Publication Year :
2015
Publisher :
De Gruyter, 2015.

Abstract

In this paper, we are concerned with the oscillatory behavior of a class of fractional differential equations with functional terms. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. Based on a certain variable transformation, by using a generalized Riccati transformation, generalized Philos type kernels, and averaging techniques we establish new interval oscillation criteria. Illustrative examples are also given.

Details

Language :
English
ISSN :
23915471 and 46848959
Volume :
13
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Open Physics
Publication Type :
Academic Journal
Accession number :
edsdoj.0875feeca3fe468489597068d52deb24
Document Type :
article
Full Text :
https://doi.org/10.1515/phys-2015-0053