Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term

We are concerned with oscillation of solutions of a class of nonlinear fractional differential equations with damping term. Based on a generalized Riccati function and inequality technique, we establish some new oscillation criteria for it. Some applications are also presented for the established re...

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Main Authors: Bin Zheng, Qinghua Feng
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/912072
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author Bin Zheng
Qinghua Feng
author_facet Bin Zheng
Qinghua Feng
author_sort Bin Zheng
collection DOAJ
description We are concerned with oscillation of solutions of a class of nonlinear fractional differential equations with damping term. Based on a generalized Riccati function and inequality technique, we establish some new oscillation criteria for it. Some applications are also presented for the established results.
format Article
id doaj-art-a29bc8b08f5146339a419d4963987594
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-a29bc8b08f5146339a419d49639875942025-02-03T05:47:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/912072912072Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping TermBin Zheng0Qinghua Feng1School of Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaSchool of Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaWe are concerned with oscillation of solutions of a class of nonlinear fractional differential equations with damping term. Based on a generalized Riccati function and inequality technique, we establish some new oscillation criteria for it. Some applications are also presented for the established results.http://dx.doi.org/10.1155/2013/912072
spellingShingle Bin Zheng
Qinghua Feng
Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term
Journal of Applied Mathematics
title Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term
title_full Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term
title_fullStr Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term
title_full_unstemmed Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term
title_short Some New Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Damping Term
title_sort some new oscillation criteria for a class of nonlinear fractional differential equations with damping term
url http://dx.doi.org/10.1155/2013/912072
work_keys_str_mv AT binzheng somenewoscillationcriteriaforaclassofnonlinearfractionaldifferentialequationswithdampingterm
AT qinghuafeng somenewoscillationcriteriaforaclassofnonlinearfractionaldifferentialequationswithdampingterm