{"id":"https://openalex.org/W4416573608","doi":"https://doi.org/10.1155/ijmm/4275085","title":"Strong Stability of a Delayed Viscoelastic Timoshenko System With Fractional Time Delay and Two Fractional Boundary Controls","display_name":"Strong Stability of a Delayed Viscoelastic Timoshenko System With Fractional Time Delay and Two Fractional Boundary Controls","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4416573608","doi":"https://doi.org/10.1155/ijmm/4275085"},"language":"en","primary_location":{"id":"doi:10.1155/ijmm/4275085","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmm/4275085","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/ijmm/4275085","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/ijmm/4275085","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5116599824","display_name":"Mokhtaria Bouariba Sadoun","orcid":null},"institutions":[{"id":"https://openalex.org/I233209018","display_name":"University of Abou Bekr Belka\u00efd","ror":"https://ror.org/00jsjm362","country_code":"DZ","type":"education","lineage":["https://openalex.org/I233209018"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"M. Bouariba Sadoun","raw_affiliation_strings":["Department of Mathematics ,  Faculty of Science ,  University of Abou Bekr Belkaid ,  Tlemcen ,  13000 ,  Algeria ,  univ-tlemcen.dz"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Faculty of Science ,  University of Abou Bekr Belkaid ,  Tlemcen ,  13000 ,  Algeria ,  univ-tlemcen.dz","institution_ids":["https://openalex.org/I233209018"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022084210","display_name":"Amin Benaissa Cherif","orcid":"https://orcid.org/0000-0002-0995-3751"},"institutions":[{"id":"https://openalex.org/I3124969661","display_name":"Universit\u00e9 des Sciences et de la Technologie d'Oran Mohamed Boudiaf","ror":"https://ror.org/02nbj1r55","country_code":"DZ","type":"education","lineage":["https://openalex.org/I3124969661"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"A. Benaissa Cherif","raw_affiliation_strings":["Department of Mathematics ,  Faculty of Mathematics and Informatics ,  University of Sciences and Technology Oran-Mohamed Boudiaf ,  Oran ,  31000 ,  Algeria"],"raw_orcid":"https://orcid.org/0000-0002-0995-3751","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Faculty of Mathematics and Informatics ,  University of Sciences and Technology Oran-Mohamed Boudiaf ,  Oran ,  31000 ,  Algeria","institution_ids":["https://openalex.org/I3124969661"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018046679","display_name":"Rachid Bentifour","orcid":"https://orcid.org/0000-0003-3177-663X"},"institutions":[{"id":"https://openalex.org/I233209018","display_name":"University of Abou Bekr Belka\u00efd","ror":"https://ror.org/00jsjm362","country_code":"DZ","type":"education","lineage":["https://openalex.org/I233209018"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"R. Bentifour","raw_affiliation_strings":["Department of Mathematics ,  Faculty of Science ,  University of Abou Bekr Belkaid ,  Tlemcen ,  13000 ,  Algeria ,  univ-tlemcen.dz"],"raw_orcid":"https://orcid.org/0000-0003-3177-663X","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Faculty of Science ,  University of Abou Bekr Belkaid ,  Tlemcen ,  13000 ,  Algeria ,  univ-tlemcen.dz","institution_ids":["https://openalex.org/I233209018"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092711798","display_name":"Safa M. Mirgani","orcid":"https://orcid.org/0009-0002-1385-3208"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"S. M. Mirgani","raw_affiliation_strings":["Department of Mathematics and Statistics ,  Imam Mohammad Ibn Saud Islamic University (IMSIU) ,  Riyadh ,  13318 ,  Saudi Arabia ,  imamu.edu.sa"],"raw_orcid":"https://orcid.org/0009-0002-1385-3208","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics ,  Imam Mohammad Ibn Saud Islamic University (IMSIU) ,  Riyadh ,  13318 ,  Saudi Arabia ,  imamu.edu.sa","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031627857","display_name":"Mdi Begum Jeelani","orcid":"https://orcid.org/0000-0002-8812-2859"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"M. B. Jeelani","raw_affiliation_strings":["Department of Mathematics and Statistics ,  Imam Mohammad Ibn Saud Islamic University (IMSIU) ,  Riyadh ,  13318 ,  Saudi Arabia ,  imamu.edu.sa"],"raw_orcid":"https://orcid.org/0000-0002-8812-2859","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics ,  Imam Mohammad Ibn Saud Islamic University (IMSIU) ,  Riyadh ,  13318 ,  Saudi Arabia ,  imamu.edu.sa","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080269714","display_name":"Khaled Zennir","orcid":"https://orcid.org/0000-0002-7895-4168"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]},{"id":"https://openalex.org/I4210092650","display_name":"Buraydah Colleges","ror":"https://ror.org/00j0krs40","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210092650"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"K. Zennir","raw_affiliation_strings":["Department of Mathematics ,  College of Science ,  Qassim University , P.O. Box 6644,  Buraydah ,  51452 ,  Saudi Arabia ,  qu.edu.sa"],"raw_orcid":"https://orcid.org/0000-0002-7895-4168","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  College of Science ,  Qassim University , P.O. Box 6644,  Buraydah ,  51452 ,  Saudi Arabia ,  qu.edu.sa","institution_ids":["https://openalex.org/I156216236","https://openalex.org/I4210092650"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5092711798"],"corresponding_institution_ids":["https://openalex.org/I240666556"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.41794569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2025","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.005400000140070915,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.0026000000070780516,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7371000051498413},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6638000011444092},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6636999845504761},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6439999938011169},{"id":"https://openalex.org/keywords/viscoelasticity","display_name":"Viscoelasticity","score":0.5874999761581421},{"id":"https://openalex.org/keywords/timoshenko-beam-theory","display_name":"Timoshenko beam theory","score":0.49540001153945923},{"id":"https://openalex.org/keywords/analytic-semigroup","display_name":"Analytic semigroup","score":0.49230000376701355},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.4684000015258789}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8083000183105469},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7371000051498413},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6638000011444092},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6636999845504761},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6439999938011169},{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.5874999761581421},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5202000141143799},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.49540001153945923},{"id":"https://openalex.org/C2779751289","wikidata":"https://www.wikidata.org/wiki/Q485292","display_name":"Analytic semigroup","level":3,"score":0.49230000376701355},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.4684000015258789},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.45239999890327454},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4424000084400177},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.415800005197525},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3677000105381012},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3499000072479248},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2870999872684479},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.27230000495910645},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.25859999656677246},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.25699999928474426}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/ijmm/4275085","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmm/4275085","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/ijmm/4275085","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0aa0efda32144c20b43376dfd280b292","is_oa":true,"landing_page_url":"https://doaj.org/article/0aa0efda32144c20b43376dfd280b292","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2025 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/ijmm/4275085","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmm/4275085","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/ijmm/4275085","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1053352659","display_name":null,"funder_award_id":"IMSIU-DDRSP2503","funder_id":"https://openalex.org/F4320325415","funder_display_name":"Al-Imam Muhammad Ibn Saud Islamic University"},{"id":"https://openalex.org/G2762416854","display_name":null,"funder_award_id":"IMSIU-DDRSP2503","funder_id":"https://openalex.org/F4320321420","funder_display_name":"Imam Mohammed Ibn Saud Islamic University"}],"funders":[{"id":"https://openalex.org/F4320321420","display_name":"Imam Mohammed Ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39"},{"id":"https://openalex.org/F4320325415","display_name":"Al-Imam Muhammad Ibn Saud Islamic University","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4416573608.pdf"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1986228928","https://openalex.org/W1997593775","https://openalex.org/W2034128352","https://openalex.org/W2042649373","https://openalex.org/W2060147468","https://openalex.org/W2088779465","https://openalex.org/W2805707754","https://openalex.org/W2885263295","https://openalex.org/W3130134441","https://openalex.org/W4220854565","https://openalex.org/W4380050886","https://openalex.org/W4408373645"],"related_works":[],"abstract_inverted_index":{"The":[0,83,137],"strong":[1,81,114],"stability":[2,102,115],"of":[3,25,76,88,103,109,123],"the":[4,70,74,77,80,86,90,94,97,101,107,129,145,152,161],"Timoshenko":[5,53],"beam":[6],"in":[7,55,93,96,106,116,160],"viscoelastic":[8,56],"systems":[9,57,118],"with":[10,58,151],"a":[11,20,32,51,59,110,120,157],"fractional":[12,16,60,64,98,111,132,153],"time":[13,61],"delay":[14,62],"and":[15,45,63,79,134],"boundary":[17,65,95,135],"controls":[18],"is":[19],"complex":[21],"yet":[22],"fascinating":[23],"area":[24],"study.":[26],"This":[27,48],"work":[28],"aims":[29],"to":[30,40,143],"investigate":[31],"mathematical":[33],"model":[34,105],"wherein":[35],"nontrivial":[36],"methods":[37],"are":[38],"used":[39,92,142],"solve":[41],"for":[42],"both":[43],"quantitative":[44],"qualitative":[46],"properties.":[47],"paper":[49,84],"considers":[50],"particular":[52],"system":[54],"controls.":[66],"Under":[67],"assumptions":[68],"about":[69],"data,":[71],"we":[72],"establish":[73],"well\u2010posedness":[75],"solution":[78],"stability.":[82],"addresses":[85],"question":[87],"how":[89],"constraints":[91],"type":[99],"affect":[100],"our":[104],"presence":[108],"delay.":[112],"Proving":[113],"such":[117],"requires":[119],"careful":[121],"analysis":[122],"energy":[124,148],"decay,":[125],"taking":[126],"into":[127],"account":[128],"interaction":[130],"between":[131],"delays":[133],"feedback.":[136],"semigroup":[138],"approach":[139],"will":[140],"be":[141],"show":[144],"well\u2010posedness,":[146],"while":[147],"methods,":[149],"along":[150],"Sobolev":[154],"embedding,":[155],"play":[156],"critical":[158],"role":[159],"proof.":[162]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-11-25T00:00:00"}
