{"id":"https://openalex.org/W2799105508","doi":"https://doi.org/10.3233/jifs-171707","title":"Numerical solution of fuzzy fractional integro-differential equation via two-dimensional Legendre Wavelet method","display_name":"Numerical solution of fuzzy fractional integro-differential equation via two-dimensional Legendre Wavelet method","publication_year":2018,"publication_date":"2018-04-19","ids":{"openalex":"https://openalex.org/W2799105508","doi":"https://doi.org/10.3233/jifs-171707","mag":"2799105508"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-171707","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-171707","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","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/A5045760500","display_name":"Mohammad Rasul Mastani Shabestari","orcid":null},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Rasul Mastani Shabestari","raw_affiliation_strings":["Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063871868","display_name":"R. Ezzati","orcid":"https://orcid.org/0000-0002-3162-6212"},"institutions":[{"id":"https://openalex.org/I204588832","display_name":"Islamic Azad University, Karaj","ror":"https://ror.org/01y4xm534","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I204588832"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Reza Ezzati","raw_affiliation_strings":["Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran","institution_ids":["https://openalex.org/I204588832"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073095019","display_name":"Tofigh Allahviranloo","orcid":"https://orcid.org/0000-0002-6673-3560"},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Tofigh Allahviranloo","raw_affiliation_strings":["Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063871868"],"corresponding_institution_ids":["https://openalex.org/I204588832"],"apc_list":null,"apc_paid":null,"fwci":0.4584,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.64223693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"4","first_page":"2453","last_page":"2465"},"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":0.9984999895095825,"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":0.9970999956130981,"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":0.8235732316970825},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.8144506216049194},{"id":"https://openalex.org/keywords/legendre-wavelet","display_name":"Legendre wavelet","score":0.7539157867431641},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.694682240486145},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6700969934463501},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5662195086479187},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5401849150657654},{"id":"https://openalex.org/keywords/integro-differential-equation","display_name":"Integro-differential equation","score":0.5102148056030273},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4725591540336609},{"id":"https://openalex.org/keywords/legendres-equation","display_name":"Legendre's equation","score":0.4219018518924713},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.4185766875743866},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.19106662273406982},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.18366438150405884},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.09941646456718445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07517319917678833}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8235732316970825},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.8144506216049194},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.7539157867431641},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.694682240486145},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6700969934463501},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5662195086479187},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5401849150657654},{"id":"https://openalex.org/C70985411","wikidata":"https://www.wikidata.org/wiki/Q2380676","display_name":"Integro-differential equation","level":4,"score":0.5102148056030273},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4725591540336609},{"id":"https://openalex.org/C86287605","wikidata":"https://www.wikidata.org/wiki/Q4454970","display_name":"Legendre's equation","level":3,"score":0.4219018518924713},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.4185766875743866},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.19106662273406982},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.18366438150405884},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.09941646456718445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07517319917678833},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-171707","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-171707","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","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":21,"referenced_works":["https://openalex.org/W164348063","https://openalex.org/W410974397","https://openalex.org/W1560538028","https://openalex.org/W1606033442","https://openalex.org/W2009342598","https://openalex.org/W2012053097","https://openalex.org/W2013646003","https://openalex.org/W2026820390","https://openalex.org/W2038354216","https://openalex.org/W2055257218","https://openalex.org/W2056258420","https://openalex.org/W2074656786","https://openalex.org/W2075223383","https://openalex.org/W2079869079","https://openalex.org/W2092092154","https://openalex.org/W2117949115","https://openalex.org/W2119816552","https://openalex.org/W2336178288","https://openalex.org/W2500011369","https://openalex.org/W4232793724","https://openalex.org/W4247375400"],"related_works":["https://openalex.org/W2134471086","https://openalex.org/W2118718279","https://openalex.org/W1971409566","https://openalex.org/W2379187670","https://openalex.org/W2357310454","https://openalex.org/W2373305676","https://openalex.org/W2385143251","https://openalex.org/W2256722378","https://openalex.org/W1977277283","https://openalex.org/W4240654912"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,11,36,45,50],"two-dimensional":[4],"Legendre":[5],"wavelet":[6],"is":[7,55],"studied":[8],"to":[9],"approximated":[10],"solution":[12,41],"of":[13,38,40,49,58],"fuzzy":[14,30],"fractional":[15,31],"integro-differential":[16,32],"equation":[17,33],"under":[18],"Caputo":[19],"generalized":[20],"Hukuhara":[21],"differentiability.":[22],"The":[23],"existence":[24],"and":[25,47],"uniqueness":[26],"theorems":[27],"for":[28],"a":[29,56],"by":[34],"considering":[35],"type":[37],"differentiability":[39],"are":[42,53],"proved.":[43],"Furthermore,":[44],"accuracy":[46],"efficiency":[48],"proposed":[51],"method":[52],"demonstrated":[54],"series":[57],"numerical":[59],"experiments.":[60]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
