Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion

We introduce the investigation of approximate controllability for a new class of nonlocal and noninstantaneous impulsive Hilfer fractional neutral stochastic integrodifferential equations with fractional Brownian motion. An appropriate set of sufficient conditions is derived for the considered syste...

Full description

Saved in:
Bibliographic Details
Published in:Boundary value problems 2020-07, Vol.2020 (1), p.1-25, Article 120
Main Authors: Ahmed, Hamdy M., El-Borai, Mahmoud M., El Bab, A. S. Okb, Ramadan, M. Elsaid
Format: Article
Language:English
Subjects:
Analysis
Approximate controllability
Approximations and Expansions
Brownian motion
Controllability
Difference and Functional Equations
Fixed points (mathematics)
Fractional Brownian motion
Fractional calculus
Hilfer fractional neutral stochastic differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Noninstantaneous impulsive
Nonlocal conditions
Ordinary Differential Equations
Partial Differential Equations
Sadovskii fixed point theorem
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-c429t-2cbc13676f8f9ba480a8366d9a0f1cb07c6636ef9a1e056dcc0eab37bda825dc3
cites cdi_FETCH-LOGICAL-c429t-2cbc13676f8f9ba480a8366d9a0f1cb07c6636ef9a1e056dcc0eab37bda825dc3
container_end_page 25
container_issue 1
container_start_page 1
container_title Boundary value problems
container_volume 2020
creator Ahmed, Hamdy M.
El-Borai, Mahmoud M.
El Bab, A. S. Okb
Ramadan, M. Elsaid
description We introduce the investigation of approximate controllability for a new class of nonlocal and noninstantaneous impulsive Hilfer fractional neutral stochastic integrodifferential equations with fractional Brownian motion. An appropriate set of sufficient conditions is derived for the considered system to be approximately controllable. For the main results, we use fractional calculus, stochastic analysis, fractional power of operators and Sadovskii’s fixed point theorem. At the end, an example is also given to show the applicability of our obtained theory.
doi_str_mv 10.1186/s13661-020-01418-0
format article
fullrecord <record><control><sourceid>proquest_doaj_</sourceid><recordid>TN_cdi_doaj_primary_oai_doaj_org_article_00861a92d92e4e8a9f235b8eed7065d2</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_00861a92d92e4e8a9f235b8eed7065d2</doaj_id><sourcerecordid>2420334264</sourcerecordid><originalsourceid>FETCH-LOGICAL-c429t-2cbc13676f8f9ba480a8366d9a0f1cb07c6636ef9a1e056dcc0eab37bda825dc3</originalsourceid><addsrcrecordid>eNp9UcFu1DAUjBBIlJYf6MkS58CznXWcY6mgrVSJCz1bL87z1qusvbUdSj-Bv8bbIOgJyZKteTNjzZumOefwkXOtPmUuleItCGiBd1y38Ko54Ur3reh7eP3i_bZ5l_MOQA6yEyfNr4vDIcWffo-FmI2hpDjPOPrZlycWHQsx-JALhnooLpn5_WGZs_9B7NrPjhJzCW3xMeDMfCi0TXHyrg4oFF8xeljwOM7s0Zf7l-zPKT4Gj4Ht4xE5a944nDO9_3OfNndfv3y_vG5vv13dXF7ctrYTQ2mFHW0N2yun3TBipwF1zT4NCI7bEXqrlFTkBuQEGzVZC4Sj7McJtdhMVp42N6vvFHFnDqlGT08mojfPQExbg6l4O5MB0IrjIKZBUEcaByfkZtREUw9qM4nq9WH1qjt8WCgXs4tLquGyEZ0AWVesusoSK8ummHMi9_dXDuZYn1nrM7U-81yfgSqSqyhXcthS-mf9H9Vv0W2ifw</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2420334264</pqid></control><display><type>article</type><title>Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion</title><source>Springer Nature - SpringerLink Journals - Fully Open Access</source><source>Publicly Available Content (ProQuest)</source><creator>Ahmed, Hamdy M. ; El-Borai, Mahmoud M. ; El Bab, A. S. Okb ; Ramadan, M. Elsaid</creator><creatorcontrib>Ahmed, Hamdy M. ; El-Borai, Mahmoud M. ; El Bab, A. S. Okb ; Ramadan, M. Elsaid</creatorcontrib><description>We introduce the investigation of approximate controllability for a new class of nonlocal and noninstantaneous impulsive Hilfer fractional neutral stochastic integrodifferential equations with fractional Brownian motion. An appropriate set of sufficient conditions is derived for the considered system to be approximately controllable. For the main results, we use fractional calculus, stochastic analysis, fractional power of operators and Sadovskii’s fixed point theorem. At the end, an example is also given to show the applicability of our obtained theory.</description><identifier>ISSN: 1687-2770</identifier><identifier>ISSN: 1687-2762</identifier><identifier>EISSN: 1687-2770</identifier><identifier>DOI: 10.1186/s13661-020-01418-0</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Approximate controllability ; Approximations and Expansions ; Brownian motion ; Controllability ; Difference and Functional Equations ; Fixed points (mathematics) ; Fractional Brownian motion ; Fractional calculus ; Hilfer fractional neutral stochastic differential equations ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Noninstantaneous impulsive ; Nonlocal conditions ; Ordinary Differential Equations ; Partial Differential Equations ; Sadovskii fixed point theorem</subject><ispartof>Boundary value problems, 2020-07, Vol.2020 (1), p.1-25, Article 120</ispartof><rights>The Author(s) 2020</rights><rights>The Author(s) 2020. 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-c429t-2cbc13676f8f9ba480a8366d9a0f1cb07c6636ef9a1e056dcc0eab37bda825dc3</citedby><cites>FETCH-LOGICAL-c429t-2cbc13676f8f9ba480a8366d9a0f1cb07c6636ef9a1e056dcc0eab37bda825dc3</cites><orcidid>0000-0001-8772-3663</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2420334264/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2420334264?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,44590,74998</link.rule.ids></links><search><creatorcontrib>Ahmed, Hamdy M.</creatorcontrib><creatorcontrib>El-Borai, Mahmoud M.</creatorcontrib><creatorcontrib>El Bab, A. S. Okb</creatorcontrib><creatorcontrib>Ramadan, M. Elsaid</creatorcontrib><title>Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion</title><title>Boundary value problems</title><addtitle>Bound Value Probl</addtitle><description>We introduce the investigation of approximate controllability for a new class of nonlocal and noninstantaneous impulsive Hilfer fractional neutral stochastic integrodifferential equations with fractional Brownian motion. An appropriate set of sufficient conditions is derived for the considered system to be approximately controllable. For the main results, we use fractional calculus, stochastic analysis, fractional power of operators and Sadovskii’s fixed point theorem. At the end, an example is also given to show the applicability of our obtained theory.</description><subject>Analysis</subject><subject>Approximate controllability</subject><subject>Approximations and Expansions</subject><subject>Brownian motion</subject><subject>Controllability</subject><subject>Difference and Functional Equations</subject><subject>Fixed points (mathematics)</subject><subject>Fractional Brownian motion</subject><subject>Fractional calculus</subject><subject>Hilfer fractional neutral stochastic differential equations</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Noninstantaneous impulsive</subject><subject>Nonlocal conditions</subject><subject>Ordinary Differential Equations</subject><subject>Partial Differential Equations</subject><subject>Sadovskii fixed point theorem</subject><issn>1687-2770</issn><issn>1687-2762</issn><issn>1687-2770</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp9UcFu1DAUjBBIlJYf6MkS58CznXWcY6mgrVSJCz1bL87z1qusvbUdSj-Bv8bbIOgJyZKteTNjzZumOefwkXOtPmUuleItCGiBd1y38Ko54Ur3reh7eP3i_bZ5l_MOQA6yEyfNr4vDIcWffo-FmI2hpDjPOPrZlycWHQsx-JALhnooLpn5_WGZs_9B7NrPjhJzCW3xMeDMfCi0TXHyrg4oFF8xeljwOM7s0Zf7l-zPKT4Gj4Ht4xE5a944nDO9_3OfNndfv3y_vG5vv13dXF7ctrYTQ2mFHW0N2yun3TBipwF1zT4NCI7bEXqrlFTkBuQEGzVZC4Sj7McJtdhMVp42N6vvFHFnDqlGT08mojfPQExbg6l4O5MB0IrjIKZBUEcaByfkZtREUw9qM4nq9WH1qjt8WCgXs4tLquGyEZ0AWVesusoSK8ummHMi9_dXDuZYn1nrM7U-81yfgSqSqyhXcthS-mf9H9Vv0W2ifw</recordid><startdate>20200706</startdate><enddate>20200706</enddate><creator>Ahmed, Hamdy M.</creator><creator>El-Borai, Mahmoud M.</creator><creator>El Bab, A. S. Okb</creator><creator>Ramadan, M. Elsaid</creator><general>Springer International Publishing</general><general>Hindawi Limited</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/0000-0001-8772-3663</orcidid></search><sort><creationdate>20200706</creationdate><title>Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion</title><author>Ahmed, Hamdy M. ; El-Borai, Mahmoud M. ; El Bab, A. S. Okb ; Ramadan, M. Elsaid</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c429t-2cbc13676f8f9ba480a8366d9a0f1cb07c6636ef9a1e056dcc0eab37bda825dc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Analysis</topic><topic>Approximate controllability</topic><topic>Approximations and Expansions</topic><topic>Brownian motion</topic><topic>Controllability</topic><topic>Difference and Functional Equations</topic><topic>Fixed points (mathematics)</topic><topic>Fractional Brownian motion</topic><topic>Fractional calculus</topic><topic>Hilfer fractional neutral stochastic differential equations</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Noninstantaneous impulsive</topic><topic>Nonlocal conditions</topic><topic>Ordinary Differential Equations</topic><topic>Partial Differential Equations</topic><topic>Sadovskii fixed point theorem</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ahmed, Hamdy M.</creatorcontrib><creatorcontrib>El-Borai, Mahmoud M.</creatorcontrib><creatorcontrib>El Bab, A. S. Okb</creatorcontrib><creatorcontrib>Ramadan, M. Elsaid</creatorcontrib><collection>SpringerOpen (Open Access)</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical &amp; 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 &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies &amp; 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</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>ProQuest Engineering Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Publicly Available Content (ProQuest)</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>Boundary value problems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ahmed, Hamdy M.</au><au>El-Borai, Mahmoud M.</au><au>El Bab, A. S. Okb</au><au>Ramadan, M. Elsaid</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion</atitle><jtitle>Boundary value problems</jtitle><stitle>Bound Value Probl</stitle><date>2020-07-06</date><risdate>2020</risdate><volume>2020</volume><issue>1</issue><spage>1</spage><epage>25</epage><pages>1-25</pages><artnum>120</artnum><issn>1687-2770</issn><issn>1687-2762</issn><eissn>1687-2770</eissn><abstract>We introduce the investigation of approximate controllability for a new class of nonlocal and noninstantaneous impulsive Hilfer fractional neutral stochastic integrodifferential equations with fractional Brownian motion. An appropriate set of sufficient conditions is derived for the considered system to be approximately controllable. For the main results, we use fractional calculus, stochastic analysis, fractional power of operators and Sadovskii’s fixed point theorem. At the end, an example is also given to show the applicability of our obtained theory.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1186/s13661-020-01418-0</doi><tpages>25</tpages><orcidid>https://orcid.org/0000-0001-8772-3663</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1687-2770
ispartof Boundary value problems, 2020-07, Vol.2020 (1), p.1-25, Article 120
issn 1687-2770
1687-2762
1687-2770
language eng
recordid cdi_doaj_primary_oai_doaj_org_article_00861a92d92e4e8a9f235b8eed7065d2
source Springer Nature - SpringerLink Journals - Fully Open Access; Publicly Available Content (ProQuest)
subjects Analysis
Approximate controllability
Approximations and Expansions
Brownian motion
Controllability
Difference and Functional Equations
Fixed points (mathematics)
Fractional Brownian motion
Fractional calculus
Hilfer fractional neutral stochastic differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Noninstantaneous impulsive
Nonlocal conditions
Ordinary Differential Equations
Partial Differential Equations
Sadovskii fixed point theorem
title Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T21%3A01%3A10IST&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=Approximate%20controllability%20of%20noninstantaneous%20impulsive%20Hilfer%20fractional%20integrodifferential%20equations%20with%20fractional%20Brownian%20motion&rft.jtitle=Boundary%20value%20problems&rft.au=Ahmed,%20Hamdy%20M.&rft.date=2020-07-06&rft.volume=2020&rft.issue=1&rft.spage=1&rft.epage=25&rft.pages=1-25&rft.artnum=120&rft.issn=1687-2770&rft.eissn=1687-2770&rft_id=info:doi/10.1186/s13661-020-01418-0&rft_dat=%3Cproquest_doaj_%3E2420334264%3C/proquest_doaj_%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c429t-2cbc13676f8f9ba480a8366d9a0f1cb07c6636ef9a1e056dcc0eab37bda825dc3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2420334264&rft_id=info:pmid/&rfr_iscdi=true