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Positive solutions for an infinite system of fractional order boundary value problems
In this paper, we investigate the existence of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space c . Our analysis relies on the Krasnosel’skii fixed point theorem in a cone in conjunction with the criterion of relative compactness in C 1...
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| Published in: | Advances in difference equations 2019-05, Vol.2019 (1), p.1-11, Article 169 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c425t-cdd705f1156f41ac8f99142c0f1712f47f222d91e31b1cb62f471403a2ccd87e3 |
| container_end_page | 11 |
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| container_title | Advances in difference equations |
| container_volume | 2019 |
| creator | Wang, Fuli Cui, Yujun |
| description | In this paper, we investigate the existence of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space
c
. Our analysis relies on the Krasnosel’skii fixed point theorem in a cone in conjunction with the criterion of relative compactness in
C
1
(
J
,
c
)
. Finally, an example is given to illustrate our abstract results. |
| doi_str_mv | 10.1186/s13662-019-2111-7 |
| format | article |
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c
. Our analysis relies on the Krasnosel’skii fixed point theorem in a cone in conjunction with the criterion of relative compactness in
C
1
(
J
,
c
)
. Finally, an example is given to illustrate our abstract results.</description><identifier>ISSN: 1687-1847</identifier><identifier>ISSN: 1687-1839</identifier><identifier>EISSN: 1687-1847</identifier><identifier>DOI: 10.1186/s13662-019-2111-7</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Banach sequence spaces ; Boundary value problems ; Difference and Functional Equations ; Fixed points (mathematics) ; Fractional order boundary value problems ; Functional Analysis ; Infinite system ; Mathematics ; Mathematics and Statistics ; Ordinary Differential Equations ; Partial Differential Equations ; Positive solution ; Proceedings of the International Conference in Mathematics and Applications</subject><ispartof>Advances in difference equations, 2019-05, Vol.2019 (1), p.1-11, Article 169</ispartof><rights>The Author(s) 2019</rights><rights>Advances in Difference Equations is a copyright of Springer, (2019). All Rights Reserved. © 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c425t-cdd705f1156f41ac8f99142c0f1712f47f222d91e31b1cb62f471403a2ccd87e3</citedby><cites>FETCH-LOGICAL-c425t-cdd705f1156f41ac8f99142c0f1712f47f222d91e31b1cb62f471403a2ccd87e3</cites><orcidid>0000-0002-6688-4748</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2219443968/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2219443968?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,777,781,861,2096,25734,27905,27906,36993,44571,74875</link.rule.ids></links><search><creatorcontrib>Wang, Fuli</creatorcontrib><creatorcontrib>Cui, Yujun</creatorcontrib><title>Positive solutions for an infinite system of fractional order boundary value problems</title><title>Advances in difference equations</title><addtitle>Adv Differ Equ</addtitle><description>In this paper, we investigate the existence of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space
c
. Our analysis relies on the Krasnosel’skii fixed point theorem in a cone in conjunction with the criterion of relative compactness in
C
1
(
J
,
c
)
. Finally, an example is given to illustrate our abstract results.</description><subject>Analysis</subject><subject>Banach sequence spaces</subject><subject>Boundary value problems</subject><subject>Difference and Functional Equations</subject><subject>Fixed points (mathematics)</subject><subject>Fractional order boundary value problems</subject><subject>Functional Analysis</subject><subject>Infinite system</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Ordinary Differential Equations</subject><subject>Partial Differential Equations</subject><subject>Positive solution</subject><subject>Proceedings of the International Conference in Mathematics and Applications</subject><issn>1687-1847</issn><issn>1687-1839</issn><issn>1687-1847</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp1UctKBDEQHERBXf0AbwHPo-lMJo-jLD4WBD3oOWTykCyzE01mFvbvzTqiXjx1011V3UVV1QXgKwDBrjM0jJEag6wJANT8oDoBJngNgvLDP_1xdZrzGmMiqRAn1etzzGEMW4dy7KcxxCEjHxPSAwqDD0MYy2aXR7dB0SOftNljdI9isi6hLk6D1WmHtrqfHHpPsevdJp9VR1732Z1_10X1enf7snyoH5_uV8ubx9pQ0o61sZbj1gO0zFPQRngpgRKDPXAgnnJPCLESXAMdmI7tR0Bxo4kxVnDXLKrVrGujXqv3FDblFxV1UF-DmN6UTmMwvVOy1dgJZ1nbakpsJ13LqaAgteaEsK5oXc5axcTH5PKo1nFKxWpWhICktJFMFBTMKJNizsn5n6uA1T4JNSehShJqn4TihUNmTi7Y4c2lX-X_SZ-b0ouR</recordid><startdate>20190503</startdate><enddate>20190503</enddate><creator>Wang, Fuli</creator><creator>Cui, Yujun</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><general>SpringerOpen</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7TB</scope><scope>7XB</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0002-6688-4748</orcidid></search><sort><creationdate>20190503</creationdate><title>Positive solutions for an infinite system of fractional order boundary value problems</title><author>Wang, Fuli ; Cui, Yujun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c425t-cdd705f1156f41ac8f99142c0f1712f47f222d91e31b1cb62f471403a2ccd87e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Analysis</topic><topic>Banach sequence spaces</topic><topic>Boundary value problems</topic><topic>Difference and Functional Equations</topic><topic>Fixed points (mathematics)</topic><topic>Fractional order boundary value problems</topic><topic>Functional Analysis</topic><topic>Infinite system</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Ordinary Differential Equations</topic><topic>Partial Differential Equations</topic><topic>Positive solution</topic><topic>Proceedings of the International Conference in Mathematics and Applications</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Fuli</creatorcontrib><creatorcontrib>Cui, Yujun</creatorcontrib><collection>SpringerOpen</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</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>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</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>Computing Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Advances in difference equations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Fuli</au><au>Cui, Yujun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Positive solutions for an infinite system of fractional order boundary value problems</atitle><jtitle>Advances in difference equations</jtitle><stitle>Adv Differ Equ</stitle><date>2019-05-03</date><risdate>2019</risdate><volume>2019</volume><issue>1</issue><spage>1</spage><epage>11</epage><pages>1-11</pages><artnum>169</artnum><issn>1687-1847</issn><issn>1687-1839</issn><eissn>1687-1847</eissn><abstract>In this paper, we investigate the existence of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space
c
. Our analysis relies on the Krasnosel’skii fixed point theorem in a cone in conjunction with the criterion of relative compactness in
C
1
(
J
,
c
)
. Finally, an example is given to illustrate our abstract results.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1186/s13662-019-2111-7</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0002-6688-4748</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1687-1847 |
| ispartof | Advances in difference equations, 2019-05, Vol.2019 (1), p.1-11, Article 169 |
| issn | 1687-1847 1687-1839 1687-1847 |
| language | eng |
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| source | Publicly Available Content Database; DOAJ Directory of Open Access Journals |
| subjects | Analysis Banach sequence spaces Boundary value problems Difference and Functional Equations Fixed points (mathematics) Fractional order boundary value problems Functional Analysis Infinite system Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Positive solution Proceedings of the International Conference in Mathematics and Applications |
| title | Positive solutions for an infinite system of fractional order boundary value problems |
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