Fractional differential equations with fractional non-separated boundary conditions

We study boundary-value problems of nonlinear fractional differential equations with fractional non-separated (integral) boundary conditions. Existence and uniqueness results are obtained by using fixed point theorems and examples are given to illustrate the results.

Bibliographic Details
Main Authors: Xiaoyou Liu, Yiliang Liu
Format: Article
Language:English
Published: Texas State University 2013-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/25/abstr.html
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author Xiaoyou Liu
Yiliang Liu
author_facet Xiaoyou Liu
Yiliang Liu
author_sort Xiaoyou Liu
collection DOAJ
description We study boundary-value problems of nonlinear fractional differential equations with fractional non-separated (integral) boundary conditions. Existence and uniqueness results are obtained by using fixed point theorems and examples are given to illustrate the results.
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issn 1072-6691
language English
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publisher Texas State University
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spelling doaj.art-d480b2333b684739b5f5757baf33e0a12022-12-22T02:47:08ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-01-01201325,113Fractional differential equations with fractional non-separated boundary conditionsXiaoyou LiuYiliang LiuWe study boundary-value problems of nonlinear fractional differential equations with fractional non-separated (integral) boundary conditions. Existence and uniqueness results are obtained by using fixed point theorems and examples are given to illustrate the results.http://ejde.math.txstate.edu/Volumes/2013/25/abstr.htmlFractional differential equationnon-separated boundary conditionintegral boundary condition, existence of solutions
spellingShingle Xiaoyou Liu
Yiliang Liu
Fractional differential equations with fractional non-separated boundary conditions
Electronic Journal of Differential Equations
Fractional differential equation
non-separated boundary condition
integral boundary condition, existence of solutions
title Fractional differential equations with fractional non-separated boundary conditions
title_full Fractional differential equations with fractional non-separated boundary conditions
title_fullStr Fractional differential equations with fractional non-separated boundary conditions
title_full_unstemmed Fractional differential equations with fractional non-separated boundary conditions
title_short Fractional differential equations with fractional non-separated boundary conditions
title_sort fractional differential equations with fractional non separated boundary conditions
topic Fractional differential equation
non-separated boundary condition
integral boundary condition, existence of solutions
url http://ejde.math.txstate.edu/Volumes/2013/25/abstr.html
work_keys_str_mv AT xiaoyouliu fractionaldifferentialequationswithfractionalnonseparatedboundaryconditions
AT yiliangliu fractionaldifferentialequationswithfractionalnonseparatedboundaryconditions