{"id":"https://openalex.org/W2089286499","doi":"https://doi.org/10.1007/s00500-014-1224-x","title":"Laplace transform formula on fuzzy nth-order derivative and its application in fuzzy ordinary differential equations","display_name":"Laplace transform formula on fuzzy nth-order derivative and its application in fuzzy ordinary differential equations","publication_year":2014,"publication_date":"2014-02-11","ids":{"openalex":"https://openalex.org/W2089286499","doi":"https://doi.org/10.1007/s00500-014-1224-x","mag":"2089286499"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-014-1224-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-014-1224-x","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","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/A5047719365","display_name":"M Barkhordari Ahmadi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110333","display_name":"Islamic Azad University Bandar Abbas","ror":"https://ror.org/01q7qty61","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210110333"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"M. Barkhordari Ahmadi","raw_affiliation_strings":["Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran","Department of Mathematics,#N#Bandar Abbas Branch.#N#Islamic Azad University.#N#Bandar Abbas.#N#Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran","institution_ids":["https://openalex.org/I4210110333"]},{"raw_affiliation_string":"Department of Mathematics,#N#Bandar Abbas Branch.#N#Islamic Azad University.#N#Bandar Abbas.#N#Iran","institution_ids":["https://openalex.org/I4210110333"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055536778","display_name":"Narsis A. Kiani","orcid":"https://orcid.org/0000-0002-0949-046X"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"N. A. Kiani","raw_affiliation_strings":["Viroquant Research Group Modeling, Bioquant, Heidelberg University, Im Neuenheimer Feld 267, 69120\u00a0, Heidelberg, Germany","Viroquant Research Group Modeling, Bioquant, Heidelberg University, Heidelberg, Germany 69120#TAB#"],"affiliations":[{"raw_affiliation_string":"Viroquant Research Group Modeling, Bioquant, Heidelberg University, Im Neuenheimer Feld 267, 69120\u00a0, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Viroquant Research Group Modeling, Bioquant, Heidelberg University, Heidelberg, Germany 69120#TAB#","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055763481","display_name":"Nasser Mikaeilvand","orcid":"https://orcid.org/0000-0003-1240-1306"},"institutions":[{"id":"https://openalex.org/I4210161716","display_name":"Islamic Azad University Ardabil","ror":"https://ror.org/058np3c43","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210161716"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"N. Mikaeilvand","raw_affiliation_strings":["Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran","institution_ids":["https://openalex.org/I4210161716"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047719365"],"corresponding_institution_ids":["https://openalex.org/I4210110333"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.7068,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.9363529,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"18","issue":"12","first_page":"2461","last_page":"2469"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9937000274658203,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9930999875068665,"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/mathematics","display_name":"Mathematics","score":0.8185408711433411},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.7073482275009155},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5817477703094482},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5619077086448669},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5482001900672913},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5223670601844788},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5122823119163513},{"id":"https://openalex.org/keywords/laplace-transform-applied-to-differential-equations","display_name":"Laplace transform applied to differential equations","score":0.497969388961792},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.47702476382255554},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.45955005288124084},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.40533310174942017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10225683450698853},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05418109893798828}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8185408711433411},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.7073482275009155},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5817477703094482},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5619077086448669},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5482001900672913},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5223670601844788},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5122823119163513},{"id":"https://openalex.org/C194330524","wikidata":"https://www.wikidata.org/wiki/Q2858841","display_name":"Laplace transform applied to differential equations","level":3,"score":0.497969388961792},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47702476382255554},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.45955005288124084},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.40533310174942017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10225683450698853},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05418109893798828},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-014-1224-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-014-1224-x","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W71297888","https://openalex.org/W96079624","https://openalex.org/W1482982275","https://openalex.org/W1607746594","https://openalex.org/W1965955764","https://openalex.org/W1966908678","https://openalex.org/W1977914365","https://openalex.org/W1986979397","https://openalex.org/W1994123225","https://openalex.org/W1994178762","https://openalex.org/W1995580872","https://openalex.org/W1996354430","https://openalex.org/W1999080212","https://openalex.org/W1999130530","https://openalex.org/W2003184377","https://openalex.org/W2005505570","https://openalex.org/W2020508693","https://openalex.org/W2021498867","https://openalex.org/W2022135193","https://openalex.org/W2029120269","https://openalex.org/W2035305968","https://openalex.org/W2039746385","https://openalex.org/W2049246978","https://openalex.org/W2056505380","https://openalex.org/W2060243269","https://openalex.org/W2062148826","https://openalex.org/W2062854311","https://openalex.org/W2063047919","https://openalex.org/W2063118777","https://openalex.org/W2066805416","https://openalex.org/W2070545443","https://openalex.org/W2073615442","https://openalex.org/W2076628063","https://openalex.org/W2079954750","https://openalex.org/W2081234056","https://openalex.org/W2083742942","https://openalex.org/W2084568227","https://openalex.org/W2089021392","https://openalex.org/W2091957676","https://openalex.org/W2092092154","https://openalex.org/W2094136090","https://openalex.org/W2097383452","https://openalex.org/W2133548500","https://openalex.org/W2148179606","https://openalex.org/W2238088374","https://openalex.org/W2265428816","https://openalex.org/W2267587783","https://openalex.org/W2270863552","https://openalex.org/W2282315775","https://openalex.org/W2300986213","https://openalex.org/W2309511764","https://openalex.org/W2889151284","https://openalex.org/W4300529727"],"related_works":["https://openalex.org/W4213365297","https://openalex.org/W3166878184","https://openalex.org/W3168690039","https://openalex.org/W4308853780","https://openalex.org/W3022275705","https://openalex.org/W2479299069","https://openalex.org/W4389482554","https://openalex.org/W2019538856","https://openalex.org/W3189465960","https://openalex.org/W4283576291"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
