Oscillation of a Class of Fractional Differential Equations with Damping Term

We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with respect to the new variable. Then, using Riccati...

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Detalles Bibliográficos
Autores principales: Qin, Huizeng, Zheng, Bin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3763271/
https://www.ncbi.nlm.nih.gov/pubmed/24027448
http://dx.doi.org/10.1155/2013/685621
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author Qin, Huizeng
Zheng, Bin
author_facet Qin, Huizeng
Zheng, Bin
author_sort Qin, Huizeng
collection PubMed
description We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with respect to the new variable. Then, using Riccati transformation, inequality, and integration average technique, some new oscillatory criteria for the equations are established. As for applications, oscillation for two certain fractional differential equations with damping term is investigated by the use of the presented results.
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spelling pubmed-37632712013-09-11 Oscillation of a Class of Fractional Differential Equations with Damping Term Qin, Huizeng Zheng, Bin ScientificWorldJournal Research Article We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with respect to the new variable. Then, using Riccati transformation, inequality, and integration average technique, some new oscillatory criteria for the equations are established. As for applications, oscillation for two certain fractional differential equations with damping term is investigated by the use of the presented results. Hindawi Publishing Corporation 2013-08-21 /pmc/articles/PMC3763271/ /pubmed/24027448 http://dx.doi.org/10.1155/2013/685621 Text en Copyright © 2013 H. Qin and B. Zheng. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Qin, Huizeng
Zheng, Bin
Oscillation of a Class of Fractional Differential Equations with Damping Term
title Oscillation of a Class of Fractional Differential Equations with Damping Term
title_full Oscillation of a Class of Fractional Differential Equations with Damping Term
title_fullStr Oscillation of a Class of Fractional Differential Equations with Damping Term
title_full_unstemmed Oscillation of a Class of Fractional Differential Equations with Damping Term
title_short Oscillation of a Class of Fractional Differential Equations with Damping Term
title_sort oscillation of a class of fractional differential equations with damping term
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3763271/
https://www.ncbi.nlm.nih.gov/pubmed/24027448
http://dx.doi.org/10.1155/2013/685621
work_keys_str_mv AT qinhuizeng oscillationofaclassoffractionaldifferentialequationswithdampingterm
AT zhengbin oscillationofaclassoffractionaldifferentialequationswithdampingterm

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