{"id":"https://openalex.org/W2025696141","doi":"https://doi.org/10.1093/imamci/dnu049","title":"Non-linear fractional integro-differential systems with non-local conditions","display_name":"Non-linear fractional integro-differential systems with non-local conditions","publication_year":2014,"publication_date":"2014-11-21","ids":{"openalex":"https://openalex.org/W2025696141","doi":"https://doi.org/10.1093/imamci/dnu049","mag":"2025696141"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnu049","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnu049","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057513590","display_name":"Hamdy M. Ahmed","orcid":"https://orcid.org/0000-0001-8772-3663"},"institutions":[{"id":"https://openalex.org/I4210120363","display_name":"Higher Institute of Engineering","ror":"https://ror.org/02pyw9g57","country_code":"EG","type":"education","lineage":["https://openalex.org/I4210120363"]},{"id":"https://openalex.org/I27367753","display_name":"El Shorouk Academy","ror":"https://ror.org/025xjs150","country_code":"EG","type":"education","lineage":["https://openalex.org/I27367753"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Hamdy M. Ahmed","raw_affiliation_strings":["Higher Institute of Engineering, El-Shorouk Academy, P.O. 3, El-Shorouk City, Cairo, Egypt","Higher Institute of Engineering, El-Shorouk Academy, P.O. 3 El-Shorouk City, Cairo, Egypt"],"affiliations":[{"raw_affiliation_string":"Higher Institute of Engineering, El-Shorouk Academy, P.O. 3, El-Shorouk City, Cairo, Egypt","institution_ids":["https://openalex.org/I27367753","https://openalex.org/I4210120363"]},{"raw_affiliation_string":"Higher Institute of Engineering, El-Shorouk Academy, P.O. 3 El-Shorouk City, Cairo, Egypt","institution_ids":["https://openalex.org/I27367753","https://openalex.org/I4210120363"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057513590"],"corresponding_institution_ids":["https://openalex.org/I27367753","https://openalex.org/I4210120363"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":1.3899,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.7899338,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"33","issue":"2","first_page":"389","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9987000226974487,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7798645496368408},{"id":"https://openalex.org/keywords/resolvent","display_name":"Resolvent","score":0.7699742913246155},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.7646865844726562},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.6098348498344421},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.5986369252204895},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5388917326927185},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4724300801753998},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46816015243530273},{"id":"https://openalex.org/keywords/c0-semigroup","display_name":"C0-semigroup","score":0.4406561255455017},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.41862472891807556},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3491460084915161}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7798645496368408},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.7699742913246155},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.7646865844726562},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6098348498344421},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5986369252204895},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5388917326927185},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4724300801753998},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46816015243530273},{"id":"https://openalex.org/C19496378","wikidata":"https://www.wikidata.org/wiki/Q846542","display_name":"C0-semigroup","level":3,"score":0.4406561255455017},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.41862472891807556},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3491460084915161}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imamci/dnu049","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnu049","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},{"id":"pmh:oai:open-archive.highwire.org:imamci:33/2/389","is_oa":false,"landing_page_url":"http://imamci.oxfordjournals.org/cgi/content/short/33/2/389","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W207094665","https://openalex.org/W1517755115","https://openalex.org/W1530054495","https://openalex.org/W1626555664","https://openalex.org/W1966208290","https://openalex.org/W1975244571","https://openalex.org/W1980843810","https://openalex.org/W1993005283","https://openalex.org/W1997248355","https://openalex.org/W2003584225","https://openalex.org/W2011173917","https://openalex.org/W2026090121","https://openalex.org/W2035329029","https://openalex.org/W2038283591","https://openalex.org/W2049465220","https://openalex.org/W2052485203","https://openalex.org/W2053797114","https://openalex.org/W2054091785","https://openalex.org/W2075580195","https://openalex.org/W2080416465","https://openalex.org/W2084478697","https://openalex.org/W2086238633","https://openalex.org/W2089547777","https://openalex.org/W2133153262","https://openalex.org/W2142402181","https://openalex.org/W2144469439","https://openalex.org/W2324757040","https://openalex.org/W2506586217","https://openalex.org/W2787959293","https://openalex.org/W4242707107","https://openalex.org/W7008227395","https://openalex.org/W7049257602"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W2561315646","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W4389363996","https://openalex.org/W2363057109","https://openalex.org/W2377930051"],"abstract_inverted_index":{"We":[0],"prove":[1],"the":[2],"existence":[3],"of":[4,7,21],"mild":[5],"solutions":[6],"fractional":[8,22],"integro-differential":[9,23],"equations":[10],"with":[11],"non-local":[12],"conditions":[13,18],"in":[14],"Banach":[15],"spaces.":[16],"Sufficient":[17],"for":[19],"controllability":[20],"systems":[24],"are":[25,29],"established.":[26],"The":[27],"results":[28],"obtained":[30],"by":[31],"using":[32],"resolvent":[33],"operators":[34],"and":[35],"Schauder":[36],"fixed":[37],"point":[38],"theorem.":[39],"An":[40],"example":[41],"is":[42],"provided":[43],"to":[44],"illustrate":[45],"our":[46],"results.":[47]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}