{"id":"https://openalex.org/W3013003901","doi":"https://doi.org/10.1007/s40314-020-1133-9","title":"Fractional generalised homotopy analysis method for solving nonlinear fractional differential equations","display_name":"Fractional generalised homotopy analysis method for solving nonlinear fractional differential equations","publication_year":2020,"publication_date":"2020-03-23","ids":{"openalex":"https://openalex.org/W3013003901","doi":"https://doi.org/10.1007/s40314-020-1133-9","mag":"3013003901"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-1133-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-1133-9","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/A5042831359","display_name":"S R Saratha","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S. R. Saratha","raw_affiliation_strings":["Department of Mathematics, Kumaraguru College of Technology, Coimbatore, Tamilnadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kumaraguru College of Technology, Coimbatore, Tamilnadu, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082295830","display_name":"M. Bagyalakshmi","orcid":"https://orcid.org/0000-0001-6293-8721"},"institutions":[{"id":"https://openalex.org/I4210109528","display_name":"PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH","ror":"https://ror.org/01sa9ng67","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210109528"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. Bagyalakshmi","raw_affiliation_strings":["Department of Mathematics, PSG College of Technology, Coimbatore, Tamilnadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, PSG College of Technology, Coimbatore, Tamilnadu, India","institution_ids":["https://openalex.org/I4210109528"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030887744","display_name":"G. Sai Sundara Krishnan","orcid":"https://orcid.org/0000-0002-1005-6927"},"institutions":[{"id":"https://openalex.org/I4210109528","display_name":"PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH","ror":"https://ror.org/01sa9ng67","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210109528"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"G. Sai Sundara Krishnan","raw_affiliation_strings":["Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamilnadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamilnadu, India","institution_ids":["https://openalex.org/I4210109528"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042831359"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7356,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.78238693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"39","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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9957000017166138,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9503999948501587,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.8884013891220093},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.7933516502380371},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7831699848175049},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6812541484832764},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48127883672714233},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4708646833896637},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4432108998298645},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.4427494406700134},{"id":"https://openalex.org/keywords/fractional-programming","display_name":"Fractional programming","score":0.4229786992073059},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4164406359195709},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.41123485565185547},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.09102568030357361}],"concepts":[{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.8884013891220093},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7933516502380371},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7831699848175049},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6812541484832764},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48127883672714233},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4708646833896637},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4432108998298645},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.4427494406700134},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.4229786992073059},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4164406359195709},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.41123485565185547},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.09102568030357361},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-020-1133-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-1133-9","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":24,"referenced_works":["https://openalex.org/W1530054495","https://openalex.org/W1983178975","https://openalex.org/W1983396466","https://openalex.org/W2005154889","https://openalex.org/W2011797178","https://openalex.org/W2061498519","https://openalex.org/W2144522870","https://openalex.org/W2168825792","https://openalex.org/W2187696340","https://openalex.org/W2334890689","https://openalex.org/W2408464777","https://openalex.org/W2473914403","https://openalex.org/W2509431182","https://openalex.org/W2525740212","https://openalex.org/W2550778645","https://openalex.org/W2590636513","https://openalex.org/W2604193156","https://openalex.org/W2624391829","https://openalex.org/W2787959293","https://openalex.org/W2792446840","https://openalex.org/W2910814854","https://openalex.org/W2916606371","https://openalex.org/W2924583095","https://openalex.org/W3100666853"],"related_works":["https://openalex.org/W2391752819","https://openalex.org/W2015757695","https://openalex.org/W1976870670","https://openalex.org/W2071511340","https://openalex.org/W2362256999","https://openalex.org/W2470744056","https://openalex.org/W2007245702","https://openalex.org/W2048873866","https://openalex.org/W2025658988","https://openalex.org/W3081298411"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}