New uniqueness results for fractional differential equation with dependence on the first order derivative

New uniqueness results for fractional differential equation with dependence on the first order derivative

Abstract In this paper, we study the uniqueness of solutions for a fractional differential equation with dependence on the first order derivative. By means of Banach’s contraction mapping principle and a weighted norm in product space, sufficient conditions for the uniqueness of solutions are invest...

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Bibliographic Details
Main Authors: Zhenzhen Yue, Yumei Zou
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Advances in Difference Equations
Subjects:
Fractional differential equation
Uniqueness results
Online Access:http://link.springer.com/article/10.1186/s13662-018-1923-1
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spelling doaj-aeaaa466155d45088faa94c26855be8f2020-11-25T02:40:44ZengSpringerOpenAdvances in Difference Equations1687-18472019-01-01201911910.1186/s13662-018-1923-1New uniqueness results for fractional differential equation with dependence on the first order derivativeZhenzhen Yue0Yumei Zou1Department of Statistics and Finance, Shandong University of Science and TechnologyDepartment of Statistics and Finance, Shandong University of Science and TechnologyAbstract In this paper, we study the uniqueness of solutions for a fractional differential equation with dependence on the first order derivative. By means of Banach’s contraction mapping principle and a weighted norm in product space, sufficient conditions for the uniqueness of solutions are investigated. An example is given to illustrate the main results.http://link.springer.com/article/10.1186/s13662-018-1923-1Fractional differential equationUniqueness results
collection DOAJ
language English
format Article
sources DOAJ
author Zhenzhen Yue
Yumei Zou
spellingShingle Zhenzhen Yue
Yumei Zou
New uniqueness results for fractional differential equation with dependence on the first order derivative
Advances in Difference Equations
Fractional differential equation
Uniqueness results
author_facet Zhenzhen Yue
Yumei Zou
author_sort Zhenzhen Yue
title New uniqueness results for fractional differential equation with dependence on the first order derivative
title_short New uniqueness results for fractional differential equation with dependence on the first order derivative
title_full New uniqueness results for fractional differential equation with dependence on the first order derivative
title_fullStr New uniqueness results for fractional differential equation with dependence on the first order derivative
title_full_unstemmed New uniqueness results for fractional differential equation with dependence on the first order derivative
title_sort new uniqueness results for fractional differential equation with dependence on the first order derivative
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-01-01
description Abstract In this paper, we study the uniqueness of solutions for a fractional differential equation with dependence on the first order derivative. By means of Banach’s contraction mapping principle and a weighted norm in product space, sufficient conditions for the uniqueness of solutions are investigated. An example is given to illustrate the main results.
topic Fractional differential equation
Uniqueness results
url http://link.springer.com/article/10.1186/s13662-018-1923-1
work_keys_str_mv AT zhenzhenyue newuniquenessresultsforfractionaldifferentialequationwithdependenceonthefirstorderderivative
AT yumeizou newuniquenessresultsforfractionaldifferentialequationwithdependenceonthefirstorderderivative
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