Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations
We study the existence and multiplicity of positive solutions for the fractional m-point boundary value problem D0+αu(t)+f(t,u(t))=0, 0
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| Veröffentlicht in: | Abstract and applied analysis 2011, Vol.2010 (2010), p.1-15 |
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| container_title | Abstract and applied analysis |
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| creator | Zhong, Wenyong |
| description | We study the existence and multiplicity of positive solutions for the fractional m-point boundary value problem D0+αu(t)+f(t,u(t))=0, 0 |
| format | Article |
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Here, ai⩾0 for i=1,…,m-2, 0<ξ1<ξ2<⋯<ξm-2<1, and ρ=∑i=1m-2aiξiα-2 with ρ<1. In light of some fixed point theorems, some existence and multiplicity results of positive solutions are obtained.]]></description><identifier>ISSN: 1085-3375</identifier><identifier>EISSN: 1687-0409</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Puplishing Corporation</publisher><ispartof>Abstract and applied analysis, 2011, Vol.2010 (2010), p.1-15</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784</link.rule.ids></links><search><creatorcontrib>Zhong, Wenyong</creatorcontrib><title>Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations</title><title>Abstract and applied analysis</title><description><![CDATA[We study the existence and multiplicity of positive solutions for the fractional m-point boundary value problem D0+αu(t)+f(t,u(t))=0, 0<t<1, u(0)=u'(0)=0, u'(1)=∑i=1m-2aiu'(ξi), where 2<α<3, D0+α is the standard Riemann-Liouville fractional derivative, and f:[0,1]×[0,∞)↦[0,∞) is continuous. Here, ai⩾0 for i=1,…,m-2, 0<ξ1<ξ2<⋯<ξm-2<1, and ρ=∑i=1m-2aiξiα-2 with ρ<1. In light of some fixed point theorems, some existence and multiplicity results of positive solutions are obtained.]]></description><issn>1085-3375</issn><issn>1687-0409</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFjssKwjAURIMoWB-fINwfKESa2rpVW9wIBcWdlKg3EEmbmofQvzeKe1dzhmGGGZBoucqzmDK6HgameRonSZaOycTaB6U0yRiLyKXSVjr5Qjhq5Z3UrQWhDRy8crLTsnWw0b69c9PDmSuPUBl9VdiAFlAafvtUuIKdFAINtk4GUzw9_07NyEhwZXH-0ylZlMVpu4-x4QYFrzsjA_U1y9kyXPqXvwFEmUHU</recordid><startdate>2011</startdate><enddate>2011</enddate><creator>Zhong, Wenyong</creator><general>Hindawi Puplishing Corporation</general><scope>ADJCN</scope><scope>AHFXO</scope></search><sort><creationdate>2011</creationdate><title>Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations</title><author>Zhong, Wenyong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-emarefa_primary_4841003</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhong, Wenyong</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><jtitle>Abstract and applied analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhong, Wenyong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations</atitle><jtitle>Abstract and applied analysis</jtitle><date>2011</date><risdate>2011</risdate><volume>2010</volume><issue>2010</issue><spage>1</spage><epage>15</epage><pages>1-15</pages><issn>1085-3375</issn><eissn>1687-0409</eissn><abstract><![CDATA[We study the existence and multiplicity of positive solutions for the fractional m-point boundary value problem D0+αu(t)+f(t,u(t))=0, 0<t<1, u(0)=u'(0)=0, u'(1)=∑i=1m-2aiu'(ξi), where 2<α<3, D0+α is the standard Riemann-Liouville fractional derivative, and f:[0,1]×[0,∞)↦[0,∞) is continuous. Here, ai⩾0 for i=1,…,m-2, 0<ξ1<ξ2<⋯<ξm-2<1, and ρ=∑i=1m-2aiξiα-2 with ρ<1. In light of some fixed point theorems, some existence and multiplicity results of positive solutions are obtained.]]></abstract><cop>Cairo, Egypt</cop><pub>Hindawi Puplishing Corporation</pub><tpages>15</tpages></addata></record> |
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| source | DOAJ Directory of Open Access Journals; Wiley Online Library Open Access; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| title | Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations |
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