{"id":"https://openalex.org/W2766232154","doi":"https://doi.org/10.1080/00207160.2017.1396454","title":"An efficient fractional-order wavelet method for fractional Volterra integro-differential equations","display_name":"An efficient fractional-order wavelet method for fractional Volterra integro-differential equations","publication_year":2017,"publication_date":"2017-10-25","ids":{"openalex":"https://openalex.org/W2766232154","doi":"https://doi.org/10.1080/00207160.2017.1396454","mag":"2766232154"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2017.1396454","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1396454","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5020211184","display_name":"Fakhrodin Mohammadi","orcid":"https://orcid.org/0000-0001-9814-0367"},"institutions":[{"id":"https://openalex.org/I4210088809","display_name":"University of Hormozgan","ror":"https://ror.org/003jjq839","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210088809"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Fakhrodin Mohammadi","raw_affiliation_strings":["Department of Mathematics, University of Hormozgan, Bandarabbas, Iran"],"raw_orcid":"https://orcid.org/0000-0001-9814-0367","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hormozgan, Bandarabbas, Iran","institution_ids":["https://openalex.org/I4210088809"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020211184"],"corresponding_institution_ids":["https://openalex.org/I4210088809"],"apc_list":null,"apc_paid":null,"fwci":0.1607,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51024339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"95","issue":"12","first_page":"2396","last_page":"2418"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9966999888420105,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8076431155204773},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6408997178077698},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5975065231323242},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5739293694496155},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5152462124824524},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5019412040710449},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.48494914174079895},{"id":"https://openalex.org/keywords/volterra-integral-equation","display_name":"Volterra integral equation","score":0.41671621799468994},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.23973295092582703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08912667632102966}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8076431155204773},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6408997178077698},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5975065231323242},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5739293694496155},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5152462124824524},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5019412040710449},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.48494914174079895},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.41671621799468994},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.23973295092582703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08912667632102966},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2017.1396454","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1396454","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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":37,"referenced_works":["https://openalex.org/W280536263","https://openalex.org/W604113708","https://openalex.org/W978961799","https://openalex.org/W1183661491","https://openalex.org/W1816136939","https://openalex.org/W1964137308","https://openalex.org/W1967569646","https://openalex.org/W1972995042","https://openalex.org/W1973418968","https://openalex.org/W1975383112","https://openalex.org/W1999651452","https://openalex.org/W2004607809","https://openalex.org/W2005046074","https://openalex.org/W2011323926","https://openalex.org/W2012645543","https://openalex.org/W2030768866","https://openalex.org/W2033317678","https://openalex.org/W2042923669","https://openalex.org/W2053759115","https://openalex.org/W2058330335","https://openalex.org/W2061209223","https://openalex.org/W2069595440","https://openalex.org/W2078449083","https://openalex.org/W2080832963","https://openalex.org/W2089281733","https://openalex.org/W2089714782","https://openalex.org/W2094012975","https://openalex.org/W2164634622","https://openalex.org/W2183556908","https://openalex.org/W2259227674","https://openalex.org/W2282745915","https://openalex.org/W2389984057","https://openalex.org/W2480371133","https://openalex.org/W2964076625","https://openalex.org/W4231998994","https://openalex.org/W4248849775","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W2321342552","https://openalex.org/W2791392012","https://openalex.org/W2042802877","https://openalex.org/W2068392195","https://openalex.org/W3203724653","https://openalex.org/W3037357495","https://openalex.org/W2029778829","https://openalex.org/W2367261608","https://openalex.org/W3193669212","https://openalex.org/W3163136030"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"an":[3],"efficient":[4,56],"and":[5,34,57,76,88],"robust":[6],"numerical":[7],"technique":[8],"is":[9,21,45,94],"suggested":[10],"to":[11,64],"solve":[12],"fractional":[13],"Volterra":[14],"integro-differential":[15],"equations":[16],"(FVIDEs).":[17],"The":[18,38],"proposed":[19,43,80],"method":[20,44,82],"mainly":[22],"based":[23],"on":[24],"the":[25,35,42,49,71,79,91],"generalized":[26],"fractional-order":[27],"Legendre":[28],"wavelets":[29],"(GFLWs),":[30],"their":[31],"operational":[32],"matrices":[33],"Collocation":[36],"method.":[37],"main":[39],"advantage":[40],"of":[41,78,90],"that,":[46],"by":[47],"using":[48],"GFLWs":[50,81,92],"basis,":[51],"it":[52],"can":[53],"provide":[54],"more":[55],"accurate":[58],"solution":[59],"for":[60,83],"FVIDEs":[61],"in":[62],"compare":[63],"integer-order":[65],"wavelet":[66],"basis.":[67],"A":[68],"comparison":[69],"between":[70],"achieved":[72],"results":[73],"confirms":[74],"accuracy":[75],"superiority":[77],"solving":[84],"FVIDEs.":[85],"Error":[86],"analysis":[87],"convergence":[89],"basis":[93],"provided.":[95]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
