{"id":"https://openalex.org/W4392378231","doi":"https://doi.org/10.1007/s12190-024-02012-8","title":"A novel delayed discrete fractional Mittag-Leffler function: representation and stability of delayed fractional difference system","display_name":"A novel delayed discrete fractional Mittag-Leffler function: representation and stability of delayed fractional difference system","publication_year":2024,"publication_date":"2024-03-04","ids":{"openalex":"https://openalex.org/W4392378231","doi":"https://doi.org/10.1007/s12190-024-02012-8"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02012-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02012-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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/A5060006810","display_name":"Muath Awadalla","orcid":"https://orcid.org/0000-0002-6447-6361"},"institutions":[{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Muath Awadalla","raw_affiliation_strings":["Department of Mathematics and Statistics College of Science, King Faisal University, 31982, Hafuf, Al Ahsa, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-6447-6361","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics College of Science, King Faisal University, 31982, Hafuf, Al Ahsa, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037407023","display_name":"Naz\u0131m I. Mahmudov","orcid":"https://orcid.org/0000-0003-3943-1732"},"institutions":[{"id":"https://openalex.org/I36515993","display_name":"Eastern Mediterranean University","ror":"https://ror.org/00excyz84","country_code":"CY","type":"education","lineage":["https://openalex.org/I36515993"]},{"id":"https://openalex.org/I4210086371","display_name":"Azerbaijan State University of Economics","ror":"https://ror.org/000y2g343","country_code":"AZ","type":"education","lineage":["https://openalex.org/I4210086371"]}],"countries":["AZ","CY"],"is_corresponding":false,"raw_author_name":"Nazim I. Mahmudov","raw_affiliation_strings":["Department of Mathematics, Eastern Mediterranean University, 99628, North Cyprus, Famagusta, Turkey","Research Center of Econophysics, Azerbaijan State University of Economics (UNEC), Istiqlaliyyat Str. 6, 1001, Baku, Azerbaijan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Eastern Mediterranean University, 99628, North Cyprus, Famagusta, Turkey","institution_ids":["https://openalex.org/I36515993"]},{"raw_affiliation_string":"Research Center of Econophysics, Azerbaijan State University of Economics (UNEC), Istiqlaliyyat Str. 6, 1001, Baku, Azerbaijan","institution_ids":["https://openalex.org/I4210086371"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052075016","display_name":"Jihan Alahmadi","orcid":"https://orcid.org/0000-0003-1457-6927"},"institutions":[{"id":"https://openalex.org/I142608572","display_name":"Prince Sattam Bin Abdulaziz University","ror":"https://ror.org/04jt46d36","country_code":"SA","type":"education","lineage":["https://openalex.org/I142608572"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Jihan Alahmadi","raw_affiliation_strings":["Department of Mathematics College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, 11942, Al-Kharj, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, 11942, Al-Kharj, Saudi Arabia","institution_ids":["https://openalex.org/I142608572"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052075016"],"corresponding_institution_ids":["https://openalex.org/I142608572"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7396,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.81712678,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"70","issue":"2","first_page":"1571","last_page":"1599"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.998199999332428,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9876000285148621,"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"}},{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9828000068664551,"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":0.9008088111877441},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6647564768791199},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5792093276977539},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5786556005477905},{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.5600449442863464},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5144772529602051},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5090624690055847},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.5009253025054932},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49324125051498413},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4225074350833893},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34598755836486816},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11327710747718811}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9008088111877441},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6647564768791199},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5792093276977539},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5786556005477905},{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.5600449442863464},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5144772529602051},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5090624690055847},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.5009253025054932},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49324125051498413},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4225074350833893},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34598755836486816},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11327710747718811},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02012-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02012-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2205017745","display_name":null,"funder_award_id":"(PSAU/2024/R/1445)","funder_id":"https://openalex.org/F4320334464","funder_display_name":"Deanship of Scientific Research, Prince Sattam bin Abdulaziz University"}],"funders":[{"id":"https://openalex.org/F4320322804","display_name":"Deanship of Scientific Research, King Faisal University","ror":"https://ror.org/00dn43547"},{"id":"https://openalex.org/F4320334464","display_name":"Deanship of Scientific Research, Prince Sattam bin Abdulaziz University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1995594233","https://openalex.org/W2022067970","https://openalex.org/W2034095105","https://openalex.org/W2048554912","https://openalex.org/W2088303893","https://openalex.org/W2092316629","https://openalex.org/W2292605302","https://openalex.org/W2296779811","https://openalex.org/W2516345384","https://openalex.org/W2520807814","https://openalex.org/W2734372599","https://openalex.org/W2756709718","https://openalex.org/W2774454198","https://openalex.org/W2800820528","https://openalex.org/W2801192398","https://openalex.org/W2804893498","https://openalex.org/W2809148555","https://openalex.org/W2898799024","https://openalex.org/W2948021410","https://openalex.org/W2951009008","https://openalex.org/W2956087427","https://openalex.org/W2962892865","https://openalex.org/W2964267535","https://openalex.org/W2966090337","https://openalex.org/W2966770440","https://openalex.org/W2967345528","https://openalex.org/W2969557983","https://openalex.org/W2992434471","https://openalex.org/W3017143334","https://openalex.org/W3097473881","https://openalex.org/W3098837047","https://openalex.org/W3103873987","https://openalex.org/W4200450032","https://openalex.org/W4313256891","https://openalex.org/W4321789565","https://openalex.org/W4389070542"],"related_works":["https://openalex.org/W3111851529","https://openalex.org/W4210820417","https://openalex.org/W1796994019","https://openalex.org/W3121296545","https://openalex.org/W2034563384","https://openalex.org/W4394654181","https://openalex.org/W2158249660","https://openalex.org/W1661873676","https://openalex.org/W1574336678","https://openalex.org/W2001283893"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}