Positive solutions for singular higher-order fractional differential equations with nonlocal conditions
In this paper, by means of the fixed point index theorem in cones, under some weak conditions concerning the first eigenvalue corresponding to the relevant linear operator, the existence and multiplicity of positive solutions for a class of singular higher-order fractional differential equations wit...
Gespeichert in:
| Veröffentlicht in: | Journal of applied mathematics & computing 2015-10, Vol.49 (1-2), p.69-89 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 89 |
|---|---|
| container_issue | 1-2 |
| container_start_page | 69 |
| container_title | Journal of applied mathematics & computing |
| container_volume | 49 |
| creator | Zhang, Xingqiu |
| description | In this paper, by means of the fixed point index theorem in cones, under some weak conditions concerning the first eigenvalue corresponding to the relevant linear operator, the existence and multiplicity of positive solutions for a class of singular higher-order fractional differential equations with integral boundary conditions are investigated. The nonlinearity permits singularities not only at
t
=
0
,
1
but also at
u
=
0
. |
| doi_str_mv | 10.1007/s12190-014-0824-z |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1753519483</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3797005811</sourcerecordid><originalsourceid>FETCH-LOGICAL-c489t-a39fb5d891bb42d9bcf07cb1aafc5d6fb2138f16b95711a31283206dde3096323</originalsourceid><addsrcrecordid>eNp1kEtLxDAUhYsoOI7-AHcFN26iuUnTJksZfIGgC12HNE1mMnSamaRVnF9val2I4Oq-vnPgniw7B3wFGFfXEQgIjDAUCHNSoP1BNgNeMkQwZ4epZ4IjlhbH2UmMa4zLSmAxy5YvPrrevZs8-nbone9ibn3Io-uWQ6tCvnLLlQnIh8aE3AalR0a1eeOsNcF0vUuD2Q1q0n64fpV3vmu9Tnvtu8Z9H06zI6vaaM5-6jx7u7t9XTygp-f7x8XNE9IFFz1SVNiaNVxAXRekEbW2uNI1KGU1a0pbE6DcQlkLVgEoCoRTgsumMRSLkhI6zy4n323wu8HEXm5c1KZtVWf8ECVUjDIQBacJvfiDrv0Q0m8jhQVlBdCRgonSwccYjJXb4DYqfErAcoxeTtHLFL0co5f7pCGTJia2W5rwy_lf0ReCDYlN</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1709354133</pqid></control><display><type>article</type><title>Positive solutions for singular higher-order fractional differential equations with nonlocal conditions</title><source>SpringerLink Journals</source><creator>Zhang, Xingqiu</creator><creatorcontrib>Zhang, Xingqiu</creatorcontrib><description>In this paper, by means of the fixed point index theorem in cones, under some weak conditions concerning the first eigenvalue corresponding to the relevant linear operator, the existence and multiplicity of positive solutions for a class of singular higher-order fractional differential equations with integral boundary conditions are investigated. The nonlinearity permits singularities not only at
t
=
0
,
1
but also at
u
=
0
.</description><identifier>ISSN: 1598-5865</identifier><identifier>EISSN: 1865-2085</identifier><identifier>DOI: 10.1007/s12190-014-0824-z</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied mathematics ; Boundary conditions ; Boundary value problems ; Computational Mathematics and Numerical Analysis ; Differential equations ; Eigenvalues ; Integrals ; Linear operators ; Mathematical analysis ; Mathematical and Computational Engineering ; Mathematical models ; Mathematics ; Mathematics and Statistics ; Mathematics of Computing ; Nonlinearity ; Original Research ; Singularities ; Studies ; Texts ; Theory of Computation</subject><ispartof>Journal of applied mathematics & computing, 2015-10, Vol.49 (1-2), p.69-89</ispartof><rights>Korean Society for Computational and Applied Mathematics 2014</rights><rights>Korean Society for Computational and Applied Mathematics 2015</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c489t-a39fb5d891bb42d9bcf07cb1aafc5d6fb2138f16b95711a31283206dde3096323</citedby><cites>FETCH-LOGICAL-c489t-a39fb5d891bb42d9bcf07cb1aafc5d6fb2138f16b95711a31283206dde3096323</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12190-014-0824-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s12190-014-0824-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Zhang, Xingqiu</creatorcontrib><title>Positive solutions for singular higher-order fractional differential equations with nonlocal conditions</title><title>Journal of applied mathematics & computing</title><addtitle>J. Appl. Math. Comput</addtitle><description>In this paper, by means of the fixed point index theorem in cones, under some weak conditions concerning the first eigenvalue corresponding to the relevant linear operator, the existence and multiplicity of positive solutions for a class of singular higher-order fractional differential equations with integral boundary conditions are investigated. The nonlinearity permits singularities not only at
t
=
0
,
1
but also at
u
=
0
.</description><subject>Applied mathematics</subject><subject>Boundary conditions</subject><subject>Boundary value problems</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Differential equations</subject><subject>Eigenvalues</subject><subject>Integrals</subject><subject>Linear operators</subject><subject>Mathematical analysis</subject><subject>Mathematical and Computational Engineering</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Mathematics of Computing</subject><subject>Nonlinearity</subject><subject>Original Research</subject><subject>Singularities</subject><subject>Studies</subject><subject>Texts</subject><subject>Theory of Computation</subject><issn>1598-5865</issn><issn>1865-2085</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kEtLxDAUhYsoOI7-AHcFN26iuUnTJksZfIGgC12HNE1mMnSamaRVnF9val2I4Oq-vnPgniw7B3wFGFfXEQgIjDAUCHNSoP1BNgNeMkQwZ4epZ4IjlhbH2UmMa4zLSmAxy5YvPrrevZs8-nbone9ibn3Io-uWQ6tCvnLLlQnIh8aE3AalR0a1eeOsNcF0vUuD2Q1q0n64fpV3vmu9Tnvtu8Z9H06zI6vaaM5-6jx7u7t9XTygp-f7x8XNE9IFFz1SVNiaNVxAXRekEbW2uNI1KGU1a0pbE6DcQlkLVgEoCoRTgsumMRSLkhI6zy4n323wu8HEXm5c1KZtVWf8ECVUjDIQBacJvfiDrv0Q0m8jhQVlBdCRgonSwccYjJXb4DYqfErAcoxeTtHLFL0co5f7pCGTJia2W5rwy_lf0ReCDYlN</recordid><startdate>20151001</startdate><enddate>20151001</enddate><creator>Zhang, Xingqiu</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7TB</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>87Z</scope><scope>88I</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>KR7</scope><scope>L.-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0C</scope><scope>M0N</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20151001</creationdate><title>Positive solutions for singular higher-order fractional differential equations with nonlocal conditions</title><author>Zhang, Xingqiu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c489t-a39fb5d891bb42d9bcf07cb1aafc5d6fb2138f16b95711a31283206dde3096323</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Applied mathematics</topic><topic>Boundary conditions</topic><topic>Boundary value problems</topic><topic>Computational Mathematics and Numerical Analysis</topic><topic>Differential equations</topic><topic>Eigenvalues</topic><topic>Integrals</topic><topic>Linear operators</topic><topic>Mathematical analysis</topic><topic>Mathematical and Computational Engineering</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Mathematics of Computing</topic><topic>Nonlinearity</topic><topic>Original Research</topic><topic>Singularities</topic><topic>Studies</topic><topic>Texts</topic><topic>Theory of Computation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Xingqiu</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ABI/INFORM Collection</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Global (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>Business Premium Collection (Alumni)</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ABI/INFORM Global</collection><collection>Computing Database</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Journal of applied mathematics & computing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Xingqiu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Positive solutions for singular higher-order fractional differential equations with nonlocal conditions</atitle><jtitle>Journal of applied mathematics & computing</jtitle><stitle>J. Appl. Math. Comput</stitle><date>2015-10-01</date><risdate>2015</risdate><volume>49</volume><issue>1-2</issue><spage>69</spage><epage>89</epage><pages>69-89</pages><issn>1598-5865</issn><eissn>1865-2085</eissn><abstract>In this paper, by means of the fixed point index theorem in cones, under some weak conditions concerning the first eigenvalue corresponding to the relevant linear operator, the existence and multiplicity of positive solutions for a class of singular higher-order fractional differential equations with integral boundary conditions are investigated. The nonlinearity permits singularities not only at
t
=
0
,
1
but also at
u
=
0
.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s12190-014-0824-z</doi><tpages>21</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1598-5865 |
| ispartof | Journal of applied mathematics & computing, 2015-10, Vol.49 (1-2), p.69-89 |
| issn | 1598-5865 1865-2085 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1753519483 |
| source | SpringerLink Journals |
| subjects | Applied mathematics Boundary conditions Boundary value problems Computational Mathematics and Numerical Analysis Differential equations Eigenvalues Integrals Linear operators Mathematical analysis Mathematical and Computational Engineering Mathematical models Mathematics Mathematics and Statistics Mathematics of Computing Nonlinearity Original Research Singularities Studies Texts Theory of Computation |
| title | Positive solutions for singular higher-order fractional differential equations with nonlocal conditions |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-25T06%3A40%3A35IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Positive%20solutions%20for%20singular%20higher-order%20fractional%20differential%20equations%20with%20nonlocal%20conditions&rft.jtitle=Journal%20of%20applied%20mathematics%20&%20computing&rft.au=Zhang,%20Xingqiu&rft.date=2015-10-01&rft.volume=49&rft.issue=1-2&rft.spage=69&rft.epage=89&rft.pages=69-89&rft.issn=1598-5865&rft.eissn=1865-2085&rft_id=info:doi/10.1007/s12190-014-0824-z&rft_dat=%3Cproquest_cross%3E3797005811%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1709354133&rft_id=info:pmid/&rfr_iscdi=true |