{"id":"https://openalex.org/W2980237942","doi":"https://doi.org/10.1142/s0219691320500058","title":"A stochastic operational matrix method for numerical solutions of mixed stochastic Volterra\u2013Fredholm integral equations","display_name":"A stochastic operational matrix method for numerical solutions of mixed stochastic Volterra\u2013Fredholm integral equations","publication_year":2019,"publication_date":"2019-10-11","ids":{"openalex":"https://openalex.org/W2980237942","doi":"https://doi.org/10.1142/s0219691320500058","mag":"2980237942"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691320500058","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691320500058","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5076853350","display_name":"Soumyendra Singh","orcid":"https://orcid.org/0000-0002-7946-0530"},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Singh","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, Odisha, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, Odisha, India","institution_ids":["https://openalex.org/I16292982"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075848838","display_name":"S. Saha Ray","orcid":"https://orcid.org/0000-0002-2064-7050"},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Saha Ray","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, Odisha, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, Odisha, India","institution_ids":["https://openalex.org/I16292982"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3406,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57617218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"18","issue":"02","first_page":"2050005","last_page":"2050005"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9939000010490417,"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"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9926999807357788,"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":0.6972393989562988},{"id":"https://openalex.org/keywords/stratonovich-integral","display_name":"Stratonovich integral","score":0.6691218614578247},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.6161101460456848},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.5737740397453308},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.5705975294113159},{"id":"https://openalex.org/keywords/volterra-integral-equation","display_name":"Volterra integral equation","score":0.5437383651733398},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4602578580379486},{"id":"https://openalex.org/keywords/fredholm-integral-equation","display_name":"Fredholm integral equation","score":0.45881137251853943},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.45207855105400085},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44575005769729614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40075233578681946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1405591070652008},{"id":"https://openalex.org/keywords/fourier-integral-operator","display_name":"Fourier integral operator","score":0.1367385983467102},{"id":"https://openalex.org/keywords/riemann-integral","display_name":"Riemann integral","score":0.11414390802383423}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6972393989562988},{"id":"https://openalex.org/C90657474","wikidata":"https://www.wikidata.org/wiki/Q7622233","display_name":"Stratonovich integral","level":5,"score":0.6691218614578247},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.6161101460456848},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.5737740397453308},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.5705975294113159},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.5437383651733398},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4602578580379486},{"id":"https://openalex.org/C89285879","wikidata":"https://www.wikidata.org/wiki/Q2991898","display_name":"Fredholm integral equation","level":3,"score":0.45881137251853943},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.45207855105400085},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44575005769729614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40075233578681946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1405591070652008},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.1367385983467102},{"id":"https://openalex.org/C41833934","wikidata":"https://www.wikidata.org/wiki/Q697181","display_name":"Riemann integral","level":4,"score":0.11414390802383423},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691320500058","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691320500058","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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":16,"referenced_works":["https://openalex.org/W1963636474","https://openalex.org/W1991300260","https://openalex.org/W2000701537","https://openalex.org/W2022881593","https://openalex.org/W2023766557","https://openalex.org/W2043532630","https://openalex.org/W2050167605","https://openalex.org/W2051536688","https://openalex.org/W2072499605","https://openalex.org/W2087000533","https://openalex.org/W2317473962","https://openalex.org/W2492876524","https://openalex.org/W2772377281","https://openalex.org/W2802806002","https://openalex.org/W2943170680","https://openalex.org/W4206537305"],"related_works":["https://openalex.org/W2401195586","https://openalex.org/W2184420462","https://openalex.org/W2157039219","https://openalex.org/W2765803419","https://openalex.org/W2003647985","https://openalex.org/W2015431139","https://openalex.org/W2019013909","https://openalex.org/W4388671967","https://openalex.org/W2022698640","https://openalex.org/W4302369070"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"have":[4,25,40],"studied":[5],"space-time":[6],"Brownian":[7],"motion":[8],"and":[9],"its":[10],"applications":[11],"to":[12,43],"mixed":[13,21],"type":[14],"stochastic":[15,22],"integral":[16,23],"equations.":[17],"Approximate":[18],"solutions":[19],"of":[20,47],"equations":[24],"been":[26,41],"obtained":[27],"by":[28],"using":[29],"two-dimensional":[30],"(2D)":[31],"second":[32,49],"kind":[33,50],"Chebyshev":[34],"wavelets":[35],"(CWs).":[36],"Furthermore,":[37],"some":[38],"examples":[39],"presented":[42],"justify":[44],"the":[45],"efficiency":[46],"2D":[48],"CWs.":[51]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}