Fractional integral inequalities and global solutions of fractional differential equations

New fractional integral inequalities are established, which generalize some famous inequalities. Then we apply these new fractional integral inequalities to study global existence results for fractional differential equations.

Bibliographic Details
Main Author: Tao Zhu
Format: Article
Language:English
Published: University of Szeged 2020-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7623
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author Tao Zhu
author_facet Tao Zhu
author_sort Tao Zhu
collection DOAJ
description New fractional integral inequalities are established, which generalize some famous inequalities. Then we apply these new fractional integral inequalities to study global existence results for fractional differential equations.
first_indexed 2024-04-09T13:37:13Z
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spelling doaj.art-58481710a85d45e3a7b6f77d1f9e49cf2023-05-09T07:53:10ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752020-01-012020511610.14232/ejqtde.2020.1.57623Fractional integral inequalities and global solutions of fractional differential equationsTao Zhu0Department of Basic Science, Nanjing Institute of Technology, Nanjing, P.R. ChinaNew fractional integral inequalities are established, which generalize some famous inequalities. Then we apply these new fractional integral inequalities to study global existence results for fractional differential equations.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7623fractional integral inequalitiesfixed point theoremfractional differential equationsglobal solutions
spellingShingle Tao Zhu
Fractional integral inequalities and global solutions of fractional differential equations
Electronic Journal of Qualitative Theory of Differential Equations
fractional integral inequalities
fixed point theorem
fractional differential equations
global solutions
title Fractional integral inequalities and global solutions of fractional differential equations
title_full Fractional integral inequalities and global solutions of fractional differential equations
title_fullStr Fractional integral inequalities and global solutions of fractional differential equations
title_full_unstemmed Fractional integral inequalities and global solutions of fractional differential equations
title_short Fractional integral inequalities and global solutions of fractional differential equations
title_sort fractional integral inequalities and global solutions of fractional differential equations
topic fractional integral inequalities
fixed point theorem
fractional differential equations
global solutions
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7623
work_keys_str_mv AT taozhu fractionalintegralinequalitiesandglobalsolutionsoffractionaldifferentialequations