{"id":"https://openalex.org/W4318485166","doi":"https://doi.org/10.3390/math11030644","title":"Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory","display_name":"Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory","publication_year":2023,"publication_date":"2023-01-27","ids":{"openalex":"https://openalex.org/W4318485166","doi":"https://doi.org/10.3390/math11030644"},"language":"en","primary_location":{"id":"doi:10.3390/math11030644","doi":"https://doi.org/10.3390/math11030644","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math11030644","pdf_url":"https://www.mdpi.com/2227-7390/11/3/644/pdf?version=1675761032","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"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://www.mdpi.com/2227-7390/11/3/644/pdf?version=1675761032","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":"https://orcid.org/0000-0001-6853-4138","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/A5013484918","display_name":"Arpita Gupta","orcid":"https://orcid.org/0000-0001-8346-0878","observed_orcids":["https://orcid.org/0000-0001-8346-0878"]},"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":"Arpita Gupta","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":"last","author":{"id":"https://openalex.org/A5074922240","display_name":"Devendra Kumar","orcid":"https://orcid.org/0000-0003-4249-6326","observed_orcids":["https://orcid.org/0000-0003-4249-6326"]},"institutions":[{"id":"https://openalex.org/I99552915","display_name":"University of Rajasthan","ror":"https://ror.org/05arfhc56","country_code":"IN","type":"education","lineage":["https://openalex.org/I99552915"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Devendra Kumar","raw_affiliation_strings":["Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India"],"raw_orcid":"https://orcid.org/0000-0003-4249-6326","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India","institution_ids":["https://openalex.org/I99552915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074922240"],"corresponding_institution_ids":["https://openalex.org/I99552915"],"apc_list":{"value":2100,"currency":"CHF","value_usd":2336},"apc_paid":{"value":2100,"currency":"CHF","value_usd":2336},"fwci":2.823,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90089098,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"11","issue":"3","first_page":"644","last_page":"644"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9976000189781189,"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":0.9976000189781189,"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":0.001500000013038516,"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":0.000699999975040555,"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/fractional-riccati-differential-equations","display_name":"fractional Riccati differential equations","score":0.9879999756813049},{"id":"https://openalex.org/keywords/homotopy-analysis-method","display_name":"homotopy analysis method","score":0.9039999842643738},{"id":"https://openalex.org/keywords/sumudu-transform","display_name":"Sumudu transform","score":0.8519999980926514},{"id":"https://openalex.org/keywords/nonlinear-fractional-differential-equations","display_name":"nonlinear fractional differential equations","score":0.8600000143051147},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.8479999899864197},{"id":"https://openalex.org/keywords/uniqueness-of-solutions","display_name":"uniqueness of solutions","score":0.6710000038146973}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7186489105224609},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.6075810790061951},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5207347869873047},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5164453983306885},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.509529173374176},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5057773590087891},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.47445258498191833},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.44344907999038696},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4343593716621399},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.4282427430152893},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42045319080352783},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2328053116798401},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/math11030644","doi":"https://doi.org/10.3390/math11030644","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math11030644","pdf_url":"https://www.mdpi.com/2227-7390/11/3/644/pdf?version=1675761032","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:gam:jmathe:v:11:y:2023:i:3:p:644-:d:1048161","doi":null,"is_oa":false,"landing_page_url":"https://www.mdpi.com/2227-7390/11/3/644/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:5215e792988f457881e251e54981991f","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/5215e792988f457881e251e54981991f","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":"Mathematics, Vol 11, Iss 3, p 644 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/math11030644","doi":"https://doi.org/10.3390/math11030644","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math11030644","pdf_url":"https://www.mdpi.com/2227-7390/11/3/644/pdf?version=1675761032","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4318485166.pdf","grobid_xml":"https://content.openalex.org/works/W4318485166.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W69681244","https://openalex.org/W258802313","https://openalex.org/W1686238167","https://openalex.org/W1916078162","https://openalex.org/W1966265587","https://openalex.org/W1982261380","https://openalex.org/W2031536122","https://openalex.org/W2034478815","https://openalex.org/W2059062496","https://openalex.org/W2061400438","https://openalex.org/W2065640102","https://openalex.org/W2104500275","https://openalex.org/W2121206087","https://openalex.org/W2161093049","https://openalex.org/W2583649390","https://openalex.org/W2619589436","https://openalex.org/W2802104762","https://openalex.org/W2888271580","https://openalex.org/W2963792263","https://openalex.org/W3006903434","https://openalex.org/W3031752301","https://openalex.org/W3083204622","https://openalex.org/W3134035535","https://openalex.org/W3211272047","https://openalex.org/W4245599751","https://openalex.org/W4406590284"],"related_works":["https://openalex.org/W4391508260","https://openalex.org/W4379091158","https://openalex.org/W2083438449","https://openalex.org/W4318472030","https://openalex.org/W2330403390","https://openalex.org/W4313327674","https://openalex.org/W3083204622","https://openalex.org/W2331314940","https://openalex.org/W2061400438","https://openalex.org/W3019959180"],"abstract_inverted_index":{"The":[0,49],"key":[1],"objective":[2],"of":[3,12,32,57,73,80],"the":[4,10,13,21,43,55,58,65,71,78,81,86,89],"current":[5],"work":[6],"is":[7,39,61],"to":[8,41,76,88],"examine":[9],"behavior":[11],"nonlinear":[14,44],"fractional":[15,45],"Riccati":[16,46],"differential":[17,47],"equation":[18],"associated":[19],"with":[20,92],"Caputo\u2013Prabhakar":[22],"derivative.":[23],"An":[24],"efficient":[25],"computational":[26],"scheme,":[27],"that":[28],"is,":[29],"a":[30],"mixture":[31],"homotopy":[33],"analysis":[34,53],"technique":[35,60],"and":[36,51],"sumudu":[37],"transform,":[38],"used":[40],"solve":[42],"equation.":[48],"convergence":[50],"uniqueness":[52],"for":[54],"solution":[56,87],"implemented":[59],"shown.":[62],"In":[63],"addition,":[64],"numerical":[66],"consequences":[67],"are":[68],"demonstrated":[69],"in":[70,84],"form":[72],"graphical":[74],"representations":[75],"verify":[77],"reliability":[79],"applied":[82],"method":[83],"obtaining":[85],"mathematical":[90],"model":[91],"Prabhakar-type":[93],"memory.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":1}],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2023-01-30T00:00:00"}
