{"id":"https://openalex.org/W4307701255","doi":"https://doi.org/10.3934/math.2023072","title":"An efficient hybridization scheme for time-fractional Cauchy equations with convergence analysis","display_name":"An efficient hybridization scheme for time-fractional Cauchy equations with convergence analysis","publication_year":2022,"publication_date":"2022-10-20","ids":{"openalex":"https://openalex.org/W4307701255","doi":"https://doi.org/10.3934/math.2023072"},"language":"en","primary_location":{"id":"doi:10.3934/math.2023072","doi":"https://doi.org/10.3934/math.2023072","is_oa":true,"landing_page_url":"https://doi.org/10.3934/math.2023072","pdf_url":null,"source":{"id":"https://openalex.org/S4210179087","display_name":"AIMS Mathematics","issn_l":"2473-6988","issn":["2473-6988"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3934/math.2023072","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029764259","display_name":"Saud Fahad Aldosary","orcid":"https://orcid.org/0000-0001-7589-1352","observed_orcids":["https://orcid.org/0000-0001-7589-1352"]},"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":false,"raw_author_name":"Saud Fahad Aldosary","raw_affiliation_strings":["Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia","institution_ids":["https://openalex.org/I142608572"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011355603","display_name":"Ram Swroop","orcid":"https://orcid.org/0000-0001-9635-4142","observed_orcids":["https://orcid.org/0000-0001-9635-4142"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ram Swroop","raw_affiliation_strings":["Department of Mathematics, Arya College of Engineering and IT, Kukas, Jaipur, Rajasthan 302028 India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Arya College of Engineering and IT, Kukas, Jaipur, Rajasthan 302028 India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084250063","display_name":"Jagdev Singh","orcid":"https://orcid.org/0000-0001-6853-4138","observed_orcids":["https://orcid.org/0000-0001-6853-4138","https://orcid.org/0009-0003-7987-0438"]},"institutions":[{"id":"https://openalex.org/I3131927718","display_name":"JECRC University","ror":"https://ror.org/04hjsag95","country_code":"IN","type":"education","lineage":["https://openalex.org/I3131927718"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jagdev Singh","raw_affiliation_strings":["Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India","institution_ids":["https://openalex.org/I3131927718"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053177011","display_name":"Ateq Alsaadi","orcid":"https://orcid.org/0000-0002-4545-0246","observed_orcids":["https://orcid.org/0000-0002-4545-0246"]},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ateq Alsaadi","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057525661","display_name":"Kottakkaran Sooppy Nisar","orcid":"https://orcid.org/0000-0001-5769-4320","observed_orcids":["https://orcid.org/0000-0001-5769-4320"]},"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"]},{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]},{"id":"https://openalex.org/I3131927718","display_name":"JECRC University","ror":"https://ror.org/04hjsag95","country_code":"IN","type":"education","lineage":["https://openalex.org/I3131927718"]}],"countries":["IN","SA"],"is_corresponding":false,"raw_author_name":"Kottakkaran Sooppy Nisar","raw_affiliation_strings":["Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia","Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia; Department of Mathematics, Arya College of Engineering and IT, Kukas, Jaipur, Rajasthan 302028 India; Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia; Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia","institution_ids":["https://openalex.org/I142608572"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia; Department of Mathematics, Arya College of Engineering and IT, Kukas, Jaipur, Rajasthan 302028 India; Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia; Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India","institution_ids":["https://openalex.org/I142608572","https://openalex.org/I179331831","https://openalex.org/I3131927718"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1200,"currency":"USD","value_usd":1200},"apc_paid":{"value":1200,"currency":"USD","value_usd":1200},"fwci":0.2688,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.48956885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"8","issue":"1","first_page":"1427","last_page":"1454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9984999895095825,"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":0.9984999895095825,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0006000000284984708,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/convergence-analysis","display_name":"convergence analysis","score":0.8460000157356262},{"id":"https://openalex.org/keywords/approximate-analytical-solutions","display_name":"approximate analytical solutions","score":0.5519999861717224},{"id":"https://openalex.org/keywords/fractional-differential-equations","display_name":"fractional differential equations","score":0.7870000004768372},{"id":"https://openalex.org/keywords/series-solution","display_name":"series solution","score":0.5410000085830688}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7318094372749329},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6077347993850708},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.5816797614097595},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5506840348243713},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4494308829307556},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.41361939907073975},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4052317440509796},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29790422320365906},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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":2,"locations":[{"id":"doi:10.3934/math.2023072","doi":"https://doi.org/10.3934/math.2023072","is_oa":true,"landing_page_url":"https://doi.org/10.3934/math.2023072","pdf_url":null,"source":{"id":"https://openalex.org/S4210179087","display_name":"AIMS Mathematics","issn_l":"2473-6988","issn":["2473-6988"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a199a171a7c544a5ad459162dbba6d8c","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/a199a171a7c544a5ad459162dbba6d8c","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,"listed_in":[],"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":"AIMS Mathematics, Vol 8, Iss 1, Pp 1427-1454 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3934/math.2023072","doi":"https://doi.org/10.3934/math.2023072","is_oa":true,"landing_page_url":"https://doi.org/10.3934/math.2023072","pdf_url":null,"source":{"id":"https://openalex.org/S4210179087","display_name":"AIMS Mathematics","issn_l":"2473-6988","issn":["2473-6988"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W130143189","https://openalex.org/W1528987510","https://openalex.org/W1544402461","https://openalex.org/W1966557211","https://openalex.org/W1972478479","https://openalex.org/W1981649896","https://openalex.org/W2024708489","https://openalex.org/W2043948244","https://openalex.org/W2086737536","https://openalex.org/W2134837756","https://openalex.org/W2144522870","https://openalex.org/W2508086609","https://openalex.org/W2567011822","https://openalex.org/W2590384605","https://openalex.org/W2890165747","https://openalex.org/W2918282077","https://openalex.org/W2943866278","https://openalex.org/W2948949658","https://openalex.org/W2959237220","https://openalex.org/W2981385531","https://openalex.org/W3005664637","https://openalex.org/W3047200991","https://openalex.org/W3099400498","https://openalex.org/W3111181797","https://openalex.org/W3135021706","https://openalex.org/W3157602297","https://openalex.org/W3167088957","https://openalex.org/W3170897793","https://openalex.org/W4207040095","https://openalex.org/W4213412563"],"related_works":["https://openalex.org/W4224692995","https://openalex.org/W4381328723","https://openalex.org/W4224714214","https://openalex.org/W2770510463","https://openalex.org/W2896306494","https://openalex.org/W2910284919","https://openalex.org/W3136313044","https://openalex.org/W3043415628","https://openalex.org/W4409458265","https://openalex.org/W4403441549"],"abstract_inverted_index":{"In":[0],"this":[1,133],"paper,":[2],"a":[3,62,155],"time-fractional":[4],"Cauchy":[5],"equation":[6,91],"(TFCE)":[7],"is":[8,36,49,109,135,151],"analyzed":[9],"by":[10,42,84,111,153,165],"using":[11,43,154],"the":[12,26,39,44,56,75,78,85,89,101,104,107,113,117,120,126,137,145,149],"q-homotopy":[13],"analysis":[14],"Shehu":[15],"transform":[16,29],"algorithm":[17,30],"(q-HASTA)":[18],"with":[19,25,66,140],"convergence":[20],"analysis.":[21],"The":[22,32,47,129],"q-HASTA":[23,45],"comprises":[24],"reduced":[27,110],"differential":[28],"(RDTA).":[31],"solution":[33,58,65,114,121,139],"of":[34,74,81,106,119,132,148],"TFCE":[35,48],"represented":[37],"in":[38],"series":[40],"form":[41,53,64],"scheme.":[46],"transformed":[50],"into":[51,88],"algebraic":[52],"for":[54,124,144],"finding":[55,125],"general":[57],"efficiently.":[59],"This":[60],"provides":[61],"compact":[63],"minimized":[67],"error.":[68],"There":[69],"are":[70,163],"three":[71],"key":[72],"outcomes":[73,162],"work.":[76],"First,":[77],"small":[79],"size":[80],"input":[82],"parameters":[83],"RDTA":[86],"transforms":[87],"subsidiary":[90],"so":[92],"that":[93,136],"it":[94],"takes":[95],"short":[96],"time":[97],"to":[98],"solve.":[99],"As":[100],"second":[102],"advantage,":[103],"structure":[105],"problem":[108,150],"controlling":[112],"series;":[115],"hence":[116],"characterization":[118],"becomes":[122],"classified":[123],"particular":[127],"solution.":[128],"third":[130],"advantage":[131],"work":[134],"approximate":[138],"absolute":[141],"error":[142],"approximation":[143],"fractional":[146],"model":[147],"handled":[152],"generalized":[156],"and":[157,167],"efficient":[158],"scheme":[159],"q-HASTA.":[160],"These":[161],"illustrated":[164],"graphs":[166],"tables.":[168]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2022-11-05T00:00:00"}