{"id":"https://openalex.org/W2085262331","doi":"https://doi.org/10.1155/2012/923975","title":"Rational Biparameter Homotopy Perturbation Method and Laplace\u2010Pad\u00e9 Coupled Version","display_name":"Rational Biparameter Homotopy Perturbation Method and Laplace\u2010Pad\u00e9 Coupled Version","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2085262331","doi":"https://doi.org/10.1155/2012/923975","mag":"2085262331"},"language":"en","primary_location":{"id":"doi:10.1155/2012/923975","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/923975","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/923975.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/923975.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004649966","display_name":"H\u00e9ctor V\u00e1zquez-Leal","orcid":"https://orcid.org/0000-0002-7785-5272"},"institutions":[{"id":"https://openalex.org/I147280213","display_name":"Universidad Veracruzana","ror":"https://ror.org/03efxn362","country_code":"MX","type":"education","lineage":["https://openalex.org/I147280213"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Hector Vazquez-Leal","raw_affiliation_strings":["Electronic Instrumentation and Atmospheric Sciences School, University of Veracruz, Cto. Gonzalo Aguirre Beltr\u00e1n s/n, 91000 Xalapa, VER","Universidad Veracruzana"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electronic Instrumentation and Atmospheric Sciences School, University of Veracruz, Cto. Gonzalo Aguirre Beltr\u00e1n s/n, 91000 Xalapa, VER","institution_ids":["https://openalex.org/I147280213"]},{"raw_affiliation_string":"Universidad Veracruzana","institution_ids":["https://openalex.org/I147280213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055378706","display_name":"Arturo Sarmiento-Reyes","orcid":"https://orcid.org/0000-0002-7619-4994"},"institutions":[{"id":"https://openalex.org/I39824353","display_name":"National Institute of Astrophysics, Optics and Electronics","ror":"https://ror.org/00bpmmc63","country_code":"MX","type":"facility","lineage":["https://openalex.org/I39824353"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Arturo Sarmiento-Reyes","raw_affiliation_strings":["Department of Electronics, National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro 1, 72840 Santa Mar\u00eda Tonantzintla, PUE","Instituto Nacional de Astrof\u00edsica, \u00d3ptica Y Electr\u00f3nica"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro 1, 72840 Santa Mar\u00eda Tonantzintla, PUE","institution_ids":["https://openalex.org/I39824353"]},{"raw_affiliation_string":"Instituto Nacional de Astrof\u00edsica, \u00d3ptica Y Electr\u00f3nica","institution_ids":["https://openalex.org/I39824353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018916879","display_name":"Yasir Khan","orcid":"https://orcid.org/0000-0002-6386-6181"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yasir Khan","raw_affiliation_strings":["Department of Mathematics, Zhejiang University, Hangzhou 310027","Zhejiang, University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang University, Hangzhou 310027","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014304127","display_name":"U. Filobello-Nino","orcid":"https://orcid.org/0000-0002-3543-834X"},"institutions":[{"id":"https://openalex.org/I147280213","display_name":"Universidad Veracruzana","ror":"https://ror.org/03efxn362","country_code":"MX","type":"education","lineage":["https://openalex.org/I147280213"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Uriel Filobello-Nino","raw_affiliation_strings":["Electronic Instrumentation and Atmospheric Sciences School, University of Veracruz, Cto. Gonzalo Aguirre Beltr\u00e1n s/n, 91000 Xalapa, VER","Universidad Veracruzana"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electronic Instrumentation and Atmospheric Sciences School, University of Veracruz, Cto. Gonzalo Aguirre Beltr\u00e1n s/n, 91000 Xalapa, VER","institution_ids":["https://openalex.org/I147280213"]},{"raw_affiliation_string":"Universidad Veracruzana","institution_ids":["https://openalex.org/I147280213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001172879","display_name":"Alejandro D\u00edaz\u2010S\u00e1nchez","orcid":"https://orcid.org/0000-0003-4529-6864"},"institutions":[{"id":"https://openalex.org/I39824353","display_name":"National Institute of Astrophysics, Optics and Electronics","ror":"https://ror.org/00bpmmc63","country_code":"MX","type":"facility","lineage":["https://openalex.org/I39824353"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Alejandro Diaz-Sanchez","raw_affiliation_strings":["Department of Electronics, National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro 1, 72840 Santa Mar\u00eda Tonantzintla, PUE","Ingenier\u00eda electr\u00f3nica (SNI 2)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro 1, 72840 Santa Mar\u00eda Tonantzintla, PUE","institution_ids":["https://openalex.org/I39824353"]},{"raw_affiliation_string":"Ingenier\u00eda electr\u00f3nica (SNI 2)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5004649966"],"corresponding_institution_ids":["https://openalex.org/I147280213"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":6.264,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.96939867,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2012","issue":"1","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":0.9998000264167786,"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":0.9998000264167786,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9480000138282776,"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/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9075000286102295,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.8442041873931885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.753832995891571},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.610373854637146},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5953707695007324},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5886330604553223},{"id":"https://openalex.org/keywords/poincar\u00e9\u2013lindstedt-method","display_name":"Poincar\u00e9\u2013Lindstedt method","score":0.5474217534065247},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.5356791615486145},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5167312026023865},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5097805857658386},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.49203822016716003},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44151732325553894},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4138805866241455},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1280912160873413},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.10623496770858765},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08916941285133362}],"concepts":[{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.8442041873931885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.753832995891571},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.610373854637146},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5953707695007324},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5886330604553223},{"id":"https://openalex.org/C153359094","wikidata":"https://www.wikidata.org/wiki/Q7207873","display_name":"Poincar\u00e9\u2013Lindstedt method","level":3,"score":0.5474217534065247},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5356791615486145},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5167312026023865},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5097805857658386},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.49203822016716003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44151732325553894},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4138805866241455},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1280912160873413},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.10623496770858765},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08916941285133362},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/923975","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/923975","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/923975.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1365174303","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1365174303","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:923975","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/923975.xml","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,"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:85901d3e96fe435e915fdf70eb126ae4","is_oa":true,"landing_page_url":"https://doaj.org/article/85901d3e96fe435e915fdf70eb126ae4","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,"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":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/923975","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/923975","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/923975.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2085262331.pdf","grobid_xml":"https://content.openalex.org/works/W2085262331.grobid-xml"},"referenced_works_count":91,"referenced_works":["https://openalex.org/W421502599","https://openalex.org/W1495897729","https://openalex.org/W1901358747","https://openalex.org/W1942127712","https://openalex.org/W1964328877","https://openalex.org/W1968073123","https://openalex.org/W1968802452","https://openalex.org/W1969122636","https://openalex.org/W1970535124","https://openalex.org/W1973545651","https://openalex.org/W1982683513","https://openalex.org/W1991095581","https://openalex.org/W1992733222","https://openalex.org/W1994282224","https://openalex.org/W1994662646","https://openalex.org/W1999776604","https://openalex.org/W2000050774","https://openalex.org/W2001176445","https://openalex.org/W2001496536","https://openalex.org/W2001916833","https://openalex.org/W2002138473","https://openalex.org/W2003689126","https://openalex.org/W2003806194","https://openalex.org/W2004891368","https://openalex.org/W2007579839","https://openalex.org/W2009343239","https://openalex.org/W2011201349","https://openalex.org/W2014042868","https://openalex.org/W2016155415","https://openalex.org/W2017277446","https://openalex.org/W2018761042","https://openalex.org/W2020722558","https://openalex.org/W2021591459","https://openalex.org/W2028275757","https://openalex.org/W2029279869","https://openalex.org/W2029384065","https://openalex.org/W2030938431","https://openalex.org/W2035443369","https://openalex.org/W2037690129","https://openalex.org/W2038739639","https://openalex.org/W2041045981","https://openalex.org/W2043984974","https://openalex.org/W2046678215","https://openalex.org/W2047148563","https://openalex.org/W2050808259","https://openalex.org/W2050957891","https://openalex.org/W2056413311","https://openalex.org/W2056745569","https://openalex.org/W2058829853","https://openalex.org/W2059201765","https://openalex.org/W2059995151","https://openalex.org/W2063324435","https://openalex.org/W2063562841","https://openalex.org/W2063894461","https://openalex.org/W2067238867","https://openalex.org/W2069372244","https://openalex.org/W2072203466","https://openalex.org/W2073516112","https://openalex.org/W2074705971","https://openalex.org/W2079036370","https://openalex.org/W2083211600","https://openalex.org/W2084548575","https://openalex.org/W2085017966","https://openalex.org/W2087226000","https://openalex.org/W2091221736","https://openalex.org/W2092735582","https://openalex.org/W2093465368","https://openalex.org/W2094783826","https://openalex.org/W2096755775","https://openalex.org/W2109178423","https://openalex.org/W2111620261","https://openalex.org/W2126785803","https://openalex.org/W2127579732","https://openalex.org/W2127616341","https://openalex.org/W2129567658","https://openalex.org/W2133090828","https://openalex.org/W2146266942","https://openalex.org/W2156967549","https://openalex.org/W2158212352","https://openalex.org/W2159988661","https://openalex.org/W2163831978","https://openalex.org/W2165680603","https://openalex.org/W2165917005","https://openalex.org/W2166885897","https://openalex.org/W2170740940","https://openalex.org/W2322116852","https://openalex.org/W2508192192","https://openalex.org/W2520630419","https://openalex.org/W2795407492","https://openalex.org/W4285719527","https://openalex.org/W6940546737"],"related_works":["https://openalex.org/W2362256999","https://openalex.org/W2007245702","https://openalex.org/W4214610195","https://openalex.org/W2048873866","https://openalex.org/W2037611934","https://openalex.org/W2183081545","https://openalex.org/W2030661397","https://openalex.org/W1988357225","https://openalex.org/W819822655","https://openalex.org/W2003806194"],"abstract_inverted_index":{"The":[0,49,97],"fact":[1],"that":[2,155],"most":[3,163],"of":[4,17,57,60,64,92,99],"the":[5,15,27,39,52,55,76,85,90,100,122,130,156,162],"physical":[6],"phenomena":[7],"are":[8],"modelled":[9],"by":[10],"nonlinear":[11,46,113],"differential":[12,47,114],"equations":[13],"underlines":[14],"importance":[16],"having":[18],"reliable":[19],"methods":[20,160],"for":[21,45],"solving":[22],"them.":[23],"This":[24],"work":[25],"presents":[26],"rational":[28,78],"biparameter":[29,79],"homotopy":[30,66,80,123],"perturbation":[31,81,124],"method":[32,50,82,101,125],"(RBHPM)":[33],"as":[34,89],"a":[35,58,111,119,133],"novel":[36],"tool":[37],"with":[38,104,121,146],"potential":[40],"to":[41,71,153],"find":[42],"approximate":[43],"solutions":[44,53],"equations.":[48],"generates":[51],"in":[54,69,151],"form":[56],"quotient":[59,91],"two":[61,93,105],"power":[62,95],"series":[63],"different":[65],"parameters.":[67],"Besides,":[68],"order":[70,152],"improve":[72],"accuracy,":[73],"we":[74,142],"propose":[75],"Laplace\u2010Pad\u00e9":[77],"(LPRBHPM),":[83],"when":[84],"solution":[86],"is":[87,102,116,127,139],"expressed":[88],"truncated":[94],"series.":[96],"usage":[98],"illustrated":[103],"case":[106],"studies.":[107],"On":[108,129],"one":[109],"side,":[110,132],"Ricatti":[112],"equation":[115],"solved":[117],"and":[118,141,149,158],"comparison":[120],"(HPM)":[126],"presented.":[128],"other":[131],"nonforced":[134],"Van":[135],"der":[136],"Pol":[137],"Oscillator":[138],"analysed":[140],"compare":[143],"results":[144],"obtained":[145],"RBHPM,":[147],"LPRBHPM,":[148],"HPM":[150],"conclude":[154],"LPRBHPM":[157],"RBHPM":[159],"generate":[161],"accurate":[164],"approximated":[165],"solutions.":[166]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":9}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}