Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative

In this paper, we investigate the existence of solutions for a class of fractional boundary value problems with anti-periodic boundary value conditions with ψ-Caupto fractional derivative. By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fr...

Full description

Saved in:
Bibliographic Details
Published in:Discrete dynamics in nature and society 2019, Vol.2019 (2019), p.1-8
Main Authors: Yang, Dandan, Bai, Chuanzhi
Format: Article
Language:English
Subjects:
Boundary value problems
Existence theorems
Fixed points (mathematics)
Inclusions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c388t-fcf53bbff1159e0769e6817f641593caeb6a7a47e41b3530a2053edbbd665a613
cites cdi_FETCH-LOGICAL-c388t-fcf53bbff1159e0769e6817f641593caeb6a7a47e41b3530a2053edbbd665a613
container_end_page 8
container_issue 2019
container_start_page 1
container_title Discrete dynamics in nature and society
container_volume 2019
creator Yang, Dandan
Bai, Chuanzhi
description In this paper, we investigate the existence of solutions for a class of fractional boundary value problems with anti-periodic boundary value conditions with ψ-Caupto fractional derivative. By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fractional differential inclusions with ψ-Caputo derivatives are presented. Our result generalizes the known special case if ψ x =x and single known results to the multi-valued ones.
doi_str_mv 10.1155/2019/9824623
format article
fullrecord <record><control><sourceid>proquest_doaj_</sourceid><recordid>TN_cdi_doaj_primary_oai_doaj_org_article_532b0cd0ab9648368dfed93587d9aa3d</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_532b0cd0ab9648368dfed93587d9aa3d</doaj_id><sourcerecordid>2331231453</sourcerecordid><originalsourceid>FETCH-LOGICAL-c388t-fcf53bbff1159e0769e6817f641593caeb6a7a47e41b3530a2053edbbd665a613</originalsourceid><addsrcrecordid>eNqFkU1rFTEUhgdRsFZ3rmXApU6bj0kmWZZrqxcKCiq4C2eSE5vLOLkmmVb_gf_Ov2Rup1hcuTpfz3kPh7dpnlNyQqkQp4xQfaoV6yXjD5ojKsnQKTV8eVhzwmRHGJOPmyc57whhRGl21OzPf4RccLbYRt9-jNNSQpxz62Nqz-YSug-YQnTBthcJ7GEGU_smeI8J67gW29lOS75dugnlqv39q9vAsi_xn42qcg0lXOPT5pGHKeOzu3jcfL44_7R5112-f7vdnF12litVOm-94OPofX1MIxmkRqno4GVfa24BRwkD9AP2dOSCE2BEcHTj6KQUICk_brarrouwM_sUvkH6aSIEc9uI6auBVIKd0AjORmIdgVHLXnGpnEenuVCD0wDcVa2Xq9Y-xe8L5mJ2cUn1r2wY55Rx2gteqdcrZVPMOaH_e5USc_DHHPwxd_5U_NWKX4XZwU34H_1ipbEy6OGepr0ciOZ_AByJmwE</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2331231453</pqid></control><display><type>article</type><title>Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative</title><source>Wiley Online Library Open Access</source><source>Publicly Available Content Database</source><creator>Yang, Dandan ; Bai, Chuanzhi</creator><contributor>Peterson, Allan C. ; Allan C Peterson</contributor><creatorcontrib>Yang, Dandan ; Bai, Chuanzhi ; Peterson, Allan C. ; Allan C Peterson</creatorcontrib><description>In this paper, we investigate the existence of solutions for a class of fractional boundary value problems with anti-periodic boundary value conditions with ψ-Caupto fractional derivative. By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fractional differential inclusions with ψ-Caputo derivatives are presented. Our result generalizes the known special case if ψ x =x and single known results to the multi-valued ones.</description><identifier>ISSN: 1026-0226</identifier><identifier>EISSN: 1607-887X</identifier><identifier>DOI: 10.1155/2019/9824623</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Boundary value problems ; Existence theorems ; Fixed points (mathematics) ; Inclusions</subject><ispartof>Discrete dynamics in nature and society, 2019, Vol.2019 (2019), p.1-8</ispartof><rights>Copyright © 2019 Dandan Yang and Chuanzhi Bai.</rights><rights>Copyright © 2019 Dandan Yang and Chuanzhi Bai. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c388t-fcf53bbff1159e0769e6817f641593caeb6a7a47e41b3530a2053edbbd665a613</citedby><cites>FETCH-LOGICAL-c388t-fcf53bbff1159e0769e6817f641593caeb6a7a47e41b3530a2053edbbd665a613</cites><orcidid>0000-0002-8056-6973 ; 0000-0002-4831-3511</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2331231453/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2331231453?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,4009,25732,27902,27903,27904,36991,44569,74872</link.rule.ids></links><search><contributor>Peterson, Allan C.</contributor><contributor>Allan C Peterson</contributor><creatorcontrib>Yang, Dandan</creatorcontrib><creatorcontrib>Bai, Chuanzhi</creatorcontrib><title>Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative</title><title>Discrete dynamics in nature and society</title><description>In this paper, we investigate the existence of solutions for a class of fractional boundary value problems with anti-periodic boundary value conditions with ψ-Caupto fractional derivative. By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fractional differential inclusions with ψ-Caputo derivatives are presented. Our result generalizes the known special case if ψ x =x and single known results to the multi-valued ones.</description><subject>Boundary value problems</subject><subject>Existence theorems</subject><subject>Fixed points (mathematics)</subject><subject>Inclusions</subject><issn>1026-0226</issn><issn>1607-887X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNqFkU1rFTEUhgdRsFZ3rmXApU6bj0kmWZZrqxcKCiq4C2eSE5vLOLkmmVb_gf_Ov2Rup1hcuTpfz3kPh7dpnlNyQqkQp4xQfaoV6yXjD5ojKsnQKTV8eVhzwmRHGJOPmyc57whhRGl21OzPf4RccLbYRt9-jNNSQpxz62Nqz-YSug-YQnTBthcJ7GEGU_smeI8J67gW29lOS75dugnlqv39q9vAsi_xn42qcg0lXOPT5pGHKeOzu3jcfL44_7R5112-f7vdnF12litVOm-94OPofX1MIxmkRqno4GVfa24BRwkD9AP2dOSCE2BEcHTj6KQUICk_brarrouwM_sUvkH6aSIEc9uI6auBVIKd0AjORmIdgVHLXnGpnEenuVCD0wDcVa2Xq9Y-xe8L5mJ2cUn1r2wY55Rx2gteqdcrZVPMOaH_e5USc_DHHPwxd_5U_NWKX4XZwU34H_1ipbEy6OGepr0ciOZ_AByJmwE</recordid><startdate>2019</startdate><enddate>2019</enddate><creator>Yang, Dandan</creator><creator>Bai, Chuanzhi</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0002-8056-6973</orcidid><orcidid>https://orcid.org/0000-0002-4831-3511</orcidid></search><sort><creationdate>2019</creationdate><title>Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative</title><author>Yang, Dandan ; Bai, Chuanzhi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c388t-fcf53bbff1159e0769e6817f641593caeb6a7a47e41b3530a2053edbbd665a613</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Boundary value problems</topic><topic>Existence theorems</topic><topic>Fixed points (mathematics)</topic><topic>Inclusions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yang, Dandan</creatorcontrib><creatorcontrib>Bai, Chuanzhi</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access Journals</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies &amp; Aerospace Database‎ (1962 - current)</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East &amp; Africa Database</collection><collection>ProQuest Central</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>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; 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>DOAJ Directory of Open Access Journals</collection><jtitle>Discrete dynamics in nature and society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yang, Dandan</au><au>Bai, Chuanzhi</au><au>Peterson, Allan C.</au><au>Allan C Peterson</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative</atitle><jtitle>Discrete dynamics in nature and society</jtitle><date>2019</date><risdate>2019</risdate><volume>2019</volume><issue>2019</issue><spage>1</spage><epage>8</epage><pages>1-8</pages><issn>1026-0226</issn><eissn>1607-887X</eissn><abstract>In this paper, we investigate the existence of solutions for a class of fractional boundary value problems with anti-periodic boundary value conditions with ψ-Caupto fractional derivative. By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fractional differential inclusions with ψ-Caputo derivatives are presented. Our result generalizes the known special case if ψ x =x and single known results to the multi-valued ones.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><doi>10.1155/2019/9824623</doi><tpages>8</tpages><orcidid>https://orcid.org/0000-0002-8056-6973</orcidid><orcidid>https://orcid.org/0000-0002-4831-3511</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1026-0226
ispartof Discrete dynamics in nature and society, 2019, Vol.2019 (2019), p.1-8
issn 1026-0226
1607-887X
language eng
recordid cdi_doaj_primary_oai_doaj_org_article_532b0cd0ab9648368dfed93587d9aa3d
source Wiley Online Library Open Access; Publicly Available Content Database
subjects Boundary value problems
Existence theorems
Fixed points (mathematics)
Inclusions
title Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-23T12%3A23%3A21IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_doaj_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Existence%20of%20Solutions%20for%20Anti-Periodic%20Fractional%20Differential%20Inclusions%20with%20%CF%88-Caupto%20Fractional%20Derivative&rft.jtitle=Discrete%20dynamics%20in%20nature%20and%20society&rft.au=Yang,%20Dandan&rft.date=2019&rft.volume=2019&rft.issue=2019&rft.spage=1&rft.epage=8&rft.pages=1-8&rft.issn=1026-0226&rft.eissn=1607-887X&rft_id=info:doi/10.1155/2019/9824623&rft_dat=%3Cproquest_doaj_%3E2331231453%3C/proquest_doaj_%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c388t-fcf53bbff1159e0769e6817f641593caeb6a7a47e41b3530a2053edbbd665a613%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2331231453&rft_id=info:pmid/&rfr_iscdi=true