Existence for Certain Systems of Nonlinear Fractional Differential Equations

By establishing a comparison result and using the monotone iterative technique, combining with the method of upper and lower solutions, the existence of solutions for systems of nonlinear fractional differential equations is considered. An example is given to demonstrate the applicability of our res...

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Main Authors: Zhaowen Zheng, Xiujuan Zhang, Jing Shao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/376924
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author Zhaowen Zheng
Xiujuan Zhang
Jing Shao
author_facet Zhaowen Zheng
Xiujuan Zhang
Jing Shao
author_sort Zhaowen Zheng
collection DOAJ
description By establishing a comparison result and using the monotone iterative technique, combining with the method of upper and lower solutions, the existence of solutions for systems of nonlinear fractional differential equations is considered. An example is given to demonstrate the applicability of our results.
format Article
id doaj-art-79222034a47c4901a94c139e44a5906c
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-79222034a47c4901a94c139e44a5906c2025-02-03T06:42:11ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/376924376924Existence for Certain Systems of Nonlinear Fractional Differential EquationsZhaowen Zheng0Xiujuan Zhang1Jing Shao2School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaBy establishing a comparison result and using the monotone iterative technique, combining with the method of upper and lower solutions, the existence of solutions for systems of nonlinear fractional differential equations is considered. An example is given to demonstrate the applicability of our results.http://dx.doi.org/10.1155/2014/376924
spellingShingle Zhaowen Zheng
Xiujuan Zhang
Jing Shao
Existence for Certain Systems of Nonlinear Fractional Differential Equations
Journal of Applied Mathematics
title Existence for Certain Systems of Nonlinear Fractional Differential Equations
title_full Existence for Certain Systems of Nonlinear Fractional Differential Equations
title_fullStr Existence for Certain Systems of Nonlinear Fractional Differential Equations
title_full_unstemmed Existence for Certain Systems of Nonlinear Fractional Differential Equations
title_short Existence for Certain Systems of Nonlinear Fractional Differential Equations
title_sort existence for certain systems of nonlinear fractional differential equations
url http://dx.doi.org/10.1155/2014/376924
work_keys_str_mv AT zhaowenzheng existenceforcertainsystemsofnonlinearfractionaldifferentialequations
AT xiujuanzhang existenceforcertainsystemsofnonlinearfractionaldifferentialequations
AT jingshao existenceforcertainsystemsofnonlinearfractionaldifferentialequations