Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory

Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory

Abstract This paper investigates the existence of solutions for a coupled system of fractional differential equations. The existence is proved by using the topological degree theory, and an example is given to show the applicability of our main result.

Bibliographic Details
Main Authors: Jingli Xie, Lijing Duan
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:Advances in Difference Equations
Subjects:
Fractional differential equations
Boundary value problems
Topological degree theory
Coupled systems
Online Access:https://doi.org/10.1186/s13662-021-03457-y
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spelling doaj-8af4918084f148a98c64d39d424b6af22021-06-27T11:41:15ZengSpringerOpenAdvances in Difference Equations1687-18472021-06-012021111510.1186/s13662-021-03457-yExistence of solutions for a coupled system of fractional differential equations by means of topological degree theoryJingli Xie0Lijing Duan1College of Mathematics and Statistics, Jishou UniversityCollege of Mathematics and Statistics, Jishou UniversityAbstract This paper investigates the existence of solutions for a coupled system of fractional differential equations. The existence is proved by using the topological degree theory, and an example is given to show the applicability of our main result.https://doi.org/10.1186/s13662-021-03457-yFractional differential equationsBoundary value problemsTopological degree theoryCoupled systems
collection DOAJ
language English
format Article
sources DOAJ
author Jingli Xie
Lijing Duan
spellingShingle Jingli Xie
Lijing Duan
Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory
Advances in Difference Equations
Fractional differential equations
Boundary value problems
Topological degree theory
Coupled systems
author_facet Jingli Xie
Lijing Duan
author_sort Jingli Xie
title Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory
title_short Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory
title_full Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory
title_fullStr Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory
title_full_unstemmed Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory
title_sort existence of solutions for a coupled system of fractional differential equations by means of topological degree theory
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-06-01
description Abstract This paper investigates the existence of solutions for a coupled system of fractional differential equations. The existence is proved by using the topological degree theory, and an example is given to show the applicability of our main result.
topic Fractional differential equations
Boundary value problems
Topological degree theory
Coupled systems
url https://doi.org/10.1186/s13662-021-03457-y
work_keys_str_mv AT jinglixie existenceofsolutionsforacoupledsystemoffractionaldifferentialequationsbymeansoftopologicaldegreetheory
AT lijingduan existenceofsolutionsforacoupledsystemoffractionaldifferentialequationsbymeansoftopologicaldegreetheory
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