{"id":"https://openalex.org/W4403336030","doi":"https://doi.org/10.1007/s40819-024-01796-4","title":"Solving Conformable Gegenbauer Differential Equation and Exploring Its Generating Function","display_name":"Solving Conformable Gegenbauer Differential Equation and Exploring Its Generating Function","publication_year":2024,"publication_date":"2024-10-11","ids":{"openalex":"https://openalex.org/W4403336030","doi":"https://doi.org/10.1007/s40819-024-01796-4"},"language":"en","primary_location":{"id":"doi:10.1007/s40819-024-01796-4","doi":"https://doi.org/10.1007/s40819-024-01796-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40819-024-01796-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210209328","display_name":"International Journal of Applied and Computational Mathematics","issn_l":"2199-5796","issn":["2199-5796","2349-5103"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied and Computational Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2309.13088","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003272721","display_name":"Mohamed Ghaleb Al-Masaeed","orcid":"https://orcid.org/0000-0001-5647-2339","observed_orcids":["https://orcid.org/0000-0001-5647-2339"]},"institutions":[{"id":"https://openalex.org/I4210093846","display_name":"Ministry of Education and Higher Education","ror":"https://ror.org/00j4as432","country_code":"QA","type":"government","lineage":["https://openalex.org/I4210093846"]}],"countries":["QA"],"is_corresponding":true,"raw_author_name":"Mohamed Ghaleb Al-Masaeed","raw_affiliation_strings":["Ministry of Education and Higher Education, Doha, Qatar","Ministry of Education, Amman, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ministry of Education and Higher Education, Doha, Qatar","institution_ids":["https://openalex.org/I4210093846"]},{"raw_affiliation_string":"Ministry of Education, Amman, Jordan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029129294","display_name":"Eqab M. Rabei","orcid":"https://orcid.org/0000-0003-2777-8851","observed_orcids":["https://orcid.org/0000-0003-2777-8851"]},"institutions":[{"id":"https://openalex.org/I31079310","display_name":"Al al-Bayt University","ror":"https://ror.org/028jh2126","country_code":"JO","type":"education","lineage":["https://openalex.org/I31079310"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Eqab M. Rabei","raw_affiliation_strings":["Physics Department, Faculty of Science, Al al-Bayt University, Mafraq, Jordan","Physics Department, Faculty of Science, Al al-Bayt University, Mafraq, P.O. Box 130040, 25113, Jordan","Science DepartmentFaculty of Science, Jerash Private University, Jerash, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department, Faculty of Science, Al al-Bayt University, Mafraq, Jordan","institution_ids":["https://openalex.org/I31079310"]},{"raw_affiliation_string":"Physics Department, Faculty of Science, Al al-Bayt University, Mafraq, P.O. Box 130040, 25113, Jordan","institution_ids":["https://openalex.org/I31079310"]},{"raw_affiliation_string":"Science DepartmentFaculty of Science, Jerash Private University, Jerash, Jordan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111696701","display_name":"Sami I. Muslih","orcid":"https://orcid.org/0009-0007-1495-8817","observed_orcids":["https://orcid.org/0009-0007-1495-8817"]},"institutions":[{"id":"https://openalex.org/I132358288","display_name":"Al-Azhar University \u2013 Gaza","ror":"https://ror.org/047k2at48","country_code":"PS","type":"education","lineage":["https://openalex.org/I132358288"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["PS","US"],"is_corresponding":true,"raw_author_name":"Sami I. Muslih","raw_affiliation_strings":["Al-Azhar University, Gaza, Palestine","Department of Physics, University of Illinois at Urbana Champaign, Urbana, IL, 61801, USA","Department of Physics, University of Illinois at Urbana Champaign, Urbana, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Al-Azhar University, Gaza, Palestine","institution_ids":["https://openalex.org/I132358288"]},{"raw_affiliation_string":"Department of Physics, University of Illinois at Urbana Champaign, Urbana, IL, 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Physics, University of Illinois at Urbana Champaign, Urbana, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030756029","display_name":"Dumitru B\u01celeanu","orcid":"https://orcid.org/0000-0002-0286-7244","observed_orcids":["https://orcid.org/0000-0002-0286-7244"]},"institutions":[{"id":"https://openalex.org/I4210142834","display_name":"Institute of Space Science - INFLPR Subsidiary","ror":"https://ror.org/054a6wv56","country_code":"RO","type":"government","lineage":["https://openalex.org/I4210142834"]},{"id":"https://openalex.org/I56306041","display_name":"Lebanese American University","ror":"https://ror.org/00hqkan37","country_code":"LB","type":"education","lineage":["https://openalex.org/I56306041"]}],"countries":["LB","RO"],"is_corresponding":true,"raw_author_name":"Dumitru Baleanu","raw_affiliation_strings":["Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon","Institute of Space Sciences, Magurele-Bucharest, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon","institution_ids":["https://openalex.org/I56306041"]},{"raw_affiliation_string":"Institute of Space Sciences, Magurele-Bucharest, Romania","institution_ids":["https://openalex.org/I4210142834"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5003272721","https://openalex.org/A5029129294","https://openalex.org/A5030756029","https://openalex.org/A5111696701"],"corresponding_institution_ids":["https://openalex.org/I132358288","https://openalex.org/I157725225","https://openalex.org/I31079310","https://openalex.org/I4210093846","https://openalex.org/I4210142834","https://openalex.org/I56306041"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.6225,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.53069323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"10","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.8931000232696533,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.8931000232696533,"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":0.09059999883174896,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.003000000026077032,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conformable-fractional-derivative","display_name":"conformable fractional derivative","score":0.8579999804496765},{"id":"https://openalex.org/keywords/gegenbauer-functions","display_name":"Gegenbauer functions","score":0.8330000042915344},{"id":"https://openalex.org/keywords/generating-functions","display_name":"generating functions","score":0.8659999966621399},{"id":"https://openalex.org/keywords/recurrence-relations","display_name":"recurrence relations","score":0.5690000057220459},{"id":"https://openalex.org/keywords/power-series-solution","display_name":"power series solution","score":0.7609999775886536},{"id":"https://openalex.org/keywords/gegenbauer-polynomials","display_name":"Gegenbauer polynomials","score":0.8460000157356262},{"id":"https://openalex.org/keywords/fractional-differential-equations","display_name":"fractional differential equations","score":0.671999990940094}],"concepts":[{"id":"https://openalex.org/C86072612","wikidata":"https://www.wikidata.org/wiki/Q5160239","display_name":"Conformable matrix","level":2,"score":0.9409000873565674},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.7474147081375122},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5928924083709717},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4777235686779022},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4765518307685852},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4757023751735687},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47272104024887085},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4116674065589905},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2789604365825653},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09259587526321411},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s40819-024-01796-4","doi":"https://doi.org/10.1007/s40819-024-01796-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40819-024-01796-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210209328","display_name":"International Journal of Applied and Computational Mathematics","issn_l":"2199-5796","issn":["2199-5796","2349-5103"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied and Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2309.13088","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.13088","pdf_url":"https://arxiv.org/pdf/2309.13088","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2309.13088","doi":"https://doi.org/10.48550/arxiv.2309.13088","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2309.13088","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2309.13088","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.13088","pdf_url":"https://arxiv.org/pdf/2309.13088","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403336030.pdf","grobid_xml":"https://content.openalex.org/works/W4403336030.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1519904389","https://openalex.org/W1970531720","https://openalex.org/W1988930470","https://openalex.org/W1998840749","https://openalex.org/W2013521731","https://openalex.org/W2027587930","https://openalex.org/W2032231305","https://openalex.org/W2044596516","https://openalex.org/W2056258420","https://openalex.org/W2063067239","https://openalex.org/W2080931732","https://openalex.org/W2112128880","https://openalex.org/W2118080673","https://openalex.org/W2489930379","https://openalex.org/W2570096509","https://openalex.org/W2754379126","https://openalex.org/W2914273827","https://openalex.org/W2922428687","https://openalex.org/W2941596883","https://openalex.org/W2951891832","https://openalex.org/W3029239832","https://openalex.org/W3036142823","https://openalex.org/W3192037820","https://openalex.org/W3200326163","https://openalex.org/W4214634768","https://openalex.org/W4220913087","https://openalex.org/W4225004620","https://openalex.org/W4283211194","https://openalex.org/W4297675623","https://openalex.org/W4298134413","https://openalex.org/W4379231999","https://openalex.org/W4384817913","https://openalex.org/W4390650100"],"related_works":["https://openalex.org/W2083370398","https://openalex.org/W2064146629","https://openalex.org/W1660050659","https://openalex.org/W4250023343","https://openalex.org/W1979144052","https://openalex.org/W2050726244","https://openalex.org/W906146811","https://openalex.org/W2901637183","https://openalex.org/W2599512811","https://openalex.org/W2482152720"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2024-10-12T00:00:00"}
