{"id":"https://openalex.org/W4415213649","doi":"https://doi.org/10.1007/s40314-025-03445-y","title":"Mittag\u2013Leffler time differencing for fractional oscillation models with nonlinear force","display_name":"Mittag\u2013Leffler time differencing for fractional oscillation models with nonlinear force","publication_year":2025,"publication_date":"2025-10-15","ids":{"openalex":"https://openalex.org/W4415213649","doi":"https://doi.org/10.1007/s40314-025-03445-y"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03445-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03445-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5092212478","display_name":"Aljowhara H. Honain","orcid":"https://orcid.org/0009-0009-6930-5324"},"institutions":[{"id":"https://openalex.org/I138564716","display_name":"Prince Mohammad bin Fahd University","ror":"https://ror.org/03d64na34","country_code":"SA","type":"education","lineage":["https://openalex.org/I138564716"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Aljowhara H. Honain","raw_affiliation_strings":["Department of Mathematics & Natural Sciences, Prince Mohammad Bin Fahd University, Al-Khobar, 31952, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Natural Sciences, Prince Mohammad Bin Fahd University, Al-Khobar, 31952, Saudi Arabia","institution_ids":["https://openalex.org/I138564716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013826770","display_name":"Khaled M. Furati","orcid":"https://orcid.org/0000-0001-9896-1333"},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]},{"id":"https://openalex.org/I138564716","display_name":"Prince Mohammad bin Fahd University","ror":"https://ror.org/03d64na34","country_code":"SA","type":"education","lineage":["https://openalex.org/I138564716"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Khaled M. Furati","raw_affiliation_strings":["Department of Mathematics & Natural Sciences, Prince Mohammad Bin Fahd University, Al-Khobar, 31952, Saudi Arabia","Interdisciplinary Research Center for Refining and Advanced Chemicals, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-9896-1333","affiliations":[{"raw_affiliation_string":"Department of Mathematics & Natural Sciences, Prince Mohammad Bin Fahd University, Al-Khobar, 31952, Saudi Arabia","institution_ids":["https://openalex.org/I138564716"]},{"raw_affiliation_string":"Interdisciplinary Research Center for Refining and Advanced Chemicals, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064308430","display_name":"Ibrahim O. Sarumi","orcid":"https://orcid.org/0000-0001-8202-4708"},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]},{"id":"https://openalex.org/I138564716","display_name":"Prince Mohammad bin Fahd University","ror":"https://ror.org/03d64na34","country_code":"SA","type":"education","lineage":["https://openalex.org/I138564716"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ibrahim O. Sarumi","raw_affiliation_strings":["Department of Mathematics & Natural Sciences, Prince Mohammad Bin Fahd University, Al-Khobar, 31952, Saudi Arabia","Interdisciplinary Research Center for Refining and Advanced Chemicals, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Natural Sciences, Prince Mohammad Bin Fahd University, Al-Khobar, 31952, Saudi Arabia","institution_ids":["https://openalex.org/I138564716"]},{"raw_affiliation_string":"Interdisciplinary Research Center for Refining and Advanced Chemicals, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013820469","display_name":"A.Q.M. Khaliq","orcid":"https://orcid.org/0000-0002-8140-0545"},"institutions":[{"id":"https://openalex.org/I169615421","display_name":"Middle Tennessee State University","ror":"https://ror.org/02n1hzn07","country_code":"US","type":"education","lineage":["https://openalex.org/I169615421"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abdul Q. M. Khaliq","raw_affiliation_strings":["Department of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, TN, 37130, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, TN, 37130, USA","institution_ids":["https://openalex.org/I169615421"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5013826770"],"corresponding_institution_ids":["https://openalex.org/I134085113","https://openalex.org/I138564716"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28732886,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":1.0,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.70169997215271},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6603999733924866},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.597000002861023},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.5178999900817871},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5045999884605408},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4471000134944916},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4253000020980835},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34769999980926514}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.70169997215271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6761999726295471},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6603999733924866},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.597000002861023},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.550000011920929},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.5178999900817871},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5045999884605408},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4471000134944916},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4253000020980835},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3675999939441681},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34769999980926514},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3474000096321106},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3303000032901764},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.32760000228881836},{"id":"https://openalex.org/C177606310","wikidata":"https://www.wikidata.org/wiki/Q5674297","display_name":"Adaptability","level":2,"score":0.32359999418258667},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.3075000047683716},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.30640000104904175},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2727999985218048},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2621999979019165}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03445-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03445-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1584611818","https://openalex.org/W1978349032","https://openalex.org/W1980666580","https://openalex.org/W1989947528","https://openalex.org/W1998424577","https://openalex.org/W2000434452","https://openalex.org/W2037283333","https://openalex.org/W2049165066","https://openalex.org/W2063246020","https://openalex.org/W2077852010","https://openalex.org/W2081871678","https://openalex.org/W2090704787","https://openalex.org/W2094884329","https://openalex.org/W2101070138","https://openalex.org/W2165858396","https://openalex.org/W2340358137","https://openalex.org/W2746911607","https://openalex.org/W2787959293","https://openalex.org/W2789335663","https://openalex.org/W2921584158","https://openalex.org/W2963015717","https://openalex.org/W2969232873","https://openalex.org/W3005308491","https://openalex.org/W3022735952","https://openalex.org/W3092367528","https://openalex.org/W3100069118","https://openalex.org/W3120703482","https://openalex.org/W4211077197","https://openalex.org/W4244063180","https://openalex.org/W4253062931","https://openalex.org/W4288804770","https://openalex.org/W4309771283","https://openalex.org/W4391451745","https://openalex.org/W4399102094","https://openalex.org/W4405775120"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-16T00:00:00"}