Existence of solutions for fractional differential inclusions with boundary conditions

This article concerns the existence of solutions for fractional-order differential inclusions with boundary-value conditions. The main tools are based on fixed point theorems due to Bohnerblust-Karlin and Leray-Schauder together with a continuous selection theorem for upper semi-continuous mult...

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Main Author: Dandan Yang
Format: Article
Language:English
Published: Texas State University 2010-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/92/abstr.html
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author Dandan Yang
author_facet Dandan Yang
author_sort Dandan Yang
collection DOAJ
description This article concerns the existence of solutions for fractional-order differential inclusions with boundary-value conditions. The main tools are based on fixed point theorems due to Bohnerblust-Karlin and Leray-Schauder together with a continuous selection theorem for upper semi-continuous multi-valued maps.
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spelling doaj.art-4aa15b2a49f44265a0cdd91a3e94c7482022-12-22T00:25:02ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-07-01201092,110Existence of solutions for fractional differential inclusions with boundary conditionsDandan YangThis article concerns the existence of solutions for fractional-order differential inclusions with boundary-value conditions. The main tools are based on fixed point theorems due to Bohnerblust-Karlin and Leray-Schauder together with a continuous selection theorem for upper semi-continuous multi-valued maps.http://ejde.math.txstate.edu/Volumes/2010/92/abstr.htmlFractional differential inclusionsboundary value conditionsfixed point theoremmulti-valued maps
spellingShingle Dandan Yang
Existence of solutions for fractional differential inclusions with boundary conditions
Electronic Journal of Differential Equations
Fractional differential inclusions
boundary value conditions
fixed point theorem
multi-valued maps
title Existence of solutions for fractional differential inclusions with boundary conditions
title_full Existence of solutions for fractional differential inclusions with boundary conditions
title_fullStr Existence of solutions for fractional differential inclusions with boundary conditions
title_full_unstemmed Existence of solutions for fractional differential inclusions with boundary conditions
title_short Existence of solutions for fractional differential inclusions with boundary conditions
title_sort existence of solutions for fractional differential inclusions with boundary conditions
topic Fractional differential inclusions
boundary value conditions
fixed point theorem
multi-valued maps
url http://ejde.math.txstate.edu/Volumes/2010/92/abstr.html
work_keys_str_mv AT dandanyang existenceofsolutionsforfractionaldifferentialinclusionswithboundaryconditions