{"id":"https://openalex.org/W3002101277","doi":"https://doi.org/10.1007/s00366-020-00936-w","title":"A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives","display_name":"A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives","publication_year":2020,"publication_date":"2020-01-22","ids":{"openalex":"https://openalex.org/W3002101277","doi":"https://doi.org/10.1007/s00366-020-00936-w","mag":"3002101277"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-020-00936-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-020-00936-w","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"Engineering with Computers","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/A5051159072","display_name":"Mostafa Abbaszadeh","orcid":"https://orcid.org/0000-0001-6954-3896"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mostafa Abbaszadeh","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran"],"raw_orcid":"https://orcid.org/0000-0001-6954-3896","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044309986","display_name":"Mehdi Dehghan","orcid":"https://orcid.org/0000-0002-2573-9755"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehdi Dehghan","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051159072"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6975,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.77664052,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"37","issue":"3","first_page":"2173","last_page":"2182"},"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":0.9983000159263611,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.996999979019165,"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":0.8441982865333557},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7657618522644043},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6100844144821167},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6099900603294373},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5978516340255737},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5635053515434265},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5234025120735168},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5155251026153564},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.49175122380256653},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.48610568046569824},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.427043616771698},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41962891817092896},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4109661281108856}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8441982865333557},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7657618522644043},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6100844144821167},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6099900603294373},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5978516340255737},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5635053515434265},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5234025120735168},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5155251026153564},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.49175122380256653},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.48610568046569824},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.427043616771698},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41962891817092896},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4109661281108856},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00366-020-00936-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-020-00936-w","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"Engineering with Computers","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":64,"referenced_works":["https://openalex.org/W1510837990","https://openalex.org/W1966513244","https://openalex.org/W1975383112","https://openalex.org/W1983756080","https://openalex.org/W1990829983","https://openalex.org/W1992103961","https://openalex.org/W2001011967","https://openalex.org/W2003202721","https://openalex.org/W2022072871","https://openalex.org/W2024093795","https://openalex.org/W2031022806","https://openalex.org/W2032495860","https://openalex.org/W2032744100","https://openalex.org/W2043617602","https://openalex.org/W2045504118","https://openalex.org/W2047450993","https://openalex.org/W2048626366","https://openalex.org/W2052129902","https://openalex.org/W2055148154","https://openalex.org/W2062650267","https://openalex.org/W2065232540","https://openalex.org/W2068610405","https://openalex.org/W2078207410","https://openalex.org/W2078449083","https://openalex.org/W2083955243","https://openalex.org/W2086512227","https://openalex.org/W2093225350","https://openalex.org/W2094838226","https://openalex.org/W2101461245","https://openalex.org/W2104736025","https://openalex.org/W2122345489","https://openalex.org/W2130620182","https://openalex.org/W2140964418","https://openalex.org/W2200056656","https://openalex.org/W2236929209","https://openalex.org/W2267706873","https://openalex.org/W2277337617","https://openalex.org/W2285270574","https://openalex.org/W2294672943","https://openalex.org/W2312267096","https://openalex.org/W2325660078","https://openalex.org/W2334407529","https://openalex.org/W2337208398","https://openalex.org/W2414506464","https://openalex.org/W2460690371","https://openalex.org/W2513678179","https://openalex.org/W2522468891","https://openalex.org/W2531278352","https://openalex.org/W2533658490","https://openalex.org/W2548627090","https://openalex.org/W2605318537","https://openalex.org/W2750322385","https://openalex.org/W2792521435","https://openalex.org/W2802403841","https://openalex.org/W2888939444","https://openalex.org/W2923916604","https://openalex.org/W2925182281","https://openalex.org/W2949094241","https://openalex.org/W2956648324","https://openalex.org/W2975821105","https://openalex.org/W2978937473","https://openalex.org/W2988078269","https://openalex.org/W4289255049","https://openalex.org/W6772081189"],"related_works":["https://openalex.org/W2122344339","https://openalex.org/W2989780569","https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W2466288331","https://openalex.org/W3114093281","https://openalex.org/W1975234065","https://openalex.org/W2171402820","https://openalex.org/W4295736060","https://openalex.org/W4220931593"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
