{"id":"https://openalex.org/W3122200516","doi":"https://doi.org/10.1109/csit49958.2020.9321885","title":"Numerical Models of Diffusion Processes Based on Fractional Order Derivatives","display_name":"Numerical Models of Diffusion Processes Based on Fractional Order Derivatives","publication_year":2020,"publication_date":"2020-09-23","ids":{"openalex":"https://openalex.org/W3122200516","doi":"https://doi.org/10.1109/csit49958.2020.9321885","mag":"3122200516"},"language":"en","primary_location":{"id":"doi:10.1109/csit49958.2020.9321885","is_oa":false,"landing_page_url":"https://doi.org/10.1109/csit49958.2020.9321885","pdf_url":null,"source":{"id":"https://openalex.org/S4306498651","display_name":"2020 IEEE 15th International Conference on Computer Sciences and Information Technologies (CSIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE 15th International Conference on Computer Sciences and Information Technologies (CSIT)","raw_type":"proceedings-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/A5064143681","display_name":"Ivan Sokolovskyy","orcid":"https://orcid.org/0000-0001-8477-1678"},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Ivan Sokolovskyy","raw_affiliation_strings":["Department of Artificial Intelligence Systems, Lviv Polytechnic National University, NULP, Lviv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Department of Artificial Intelligence Systems, Lviv Polytechnic National University, NULP, Lviv, Ukraine","institution_ids":["https://openalex.org/I98435010"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061626897","display_name":"Jaime Campos","orcid":"https://orcid.org/0000-0001-7048-8089"},"institutions":[{"id":"https://openalex.org/I223464139","display_name":"Linnaeus University","ror":"https://ror.org/00j9qag85","country_code":"SE","type":"education","lineage":["https://openalex.org/I223464139"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Jaime Campos","raw_affiliation_strings":["Department of Informatics, Linnaeus University, V\u00e4xj\u00f6, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, Linnaeus University, V\u00e4xj\u00f6, Sweden","institution_ids":["https://openalex.org/I223464139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064143681"],"corresponding_institution_ids":["https://openalex.org/I98435010"],"apc_list":null,"apc_paid":null,"fwci":0.3991,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53409091,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"233","last_page":"236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9882000088691711,"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/T12710","display_name":"Engineering and Agricultural Innovations","score":0.9527000188827515,"subfield":{"id":"https://openalex.org/subfields/1104","display_name":"Aquatic Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.7156986594200134},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.6997201442718506},{"id":"https://openalex.org/keywords/anomalous-diffusion","display_name":"Anomalous diffusion","score":0.6604100465774536},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.6392655372619629},{"id":"https://openalex.org/keywords/diffusion-process","display_name":"Diffusion process","score":0.6349806785583496},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6170176267623901},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6079354882240295},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5773482918739319},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5538552403450012},{"id":"https://openalex.org/keywords/continuous-time-random-walk","display_name":"Continuous-time random walk","score":0.5167974233627319},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.5141323208808899},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5103537440299988},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4890631139278412},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4620593786239624},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.4566650986671448},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4459272623062134},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4194517135620117},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.285291850566864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27972668409347534},{"id":"https://openalex.org/keywords/innovation-diffusion","display_name":"Innovation diffusion","score":0.1490841507911682},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09168344736099243},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07485869526863098},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07466888427734375}],"concepts":[{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.7156986594200134},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.6997201442718506},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.6604100465774536},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.6392655372619629},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.6349806785583496},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6170176267623901},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6079354882240295},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5773482918739319},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5538552403450012},{"id":"https://openalex.org/C2777451387","wikidata":"https://www.wikidata.org/wiki/Q18206182","display_name":"Continuous-time random walk","level":3,"score":0.5167974233627319},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5141323208808899},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5103537440299988},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4890631139278412},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4620593786239624},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.4566650986671448},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4459272623062134},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4194517135620117},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.285291850566864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27972668409347534},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.1490841507911682},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09168344736099243},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07485869526863098},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07466888427734375},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/csit49958.2020.9321885","is_oa":false,"landing_page_url":"https://doi.org/10.1109/csit49958.2020.9321885","pdf_url":null,"source":{"id":"https://openalex.org/S4306498651","display_name":"2020 IEEE 15th International Conference on Computer Sciences and Information Technologies (CSIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE 15th International Conference on Computer Sciences and Information Technologies (CSIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1584611818","https://openalex.org/W1590424662","https://openalex.org/W2527809215","https://openalex.org/W2528823331","https://openalex.org/W2787959293","https://openalex.org/W2911250846","https://openalex.org/W2984261018","https://openalex.org/W3006519325","https://openalex.org/W4388311596","https://openalex.org/W6635059937","https://openalex.org/W6757906429","https://openalex.org/W6773820080"],"related_works":["https://openalex.org/W1942596836","https://openalex.org/W2465611165","https://openalex.org/W2525672329","https://openalex.org/W2984261018","https://openalex.org/W2739870508","https://openalex.org/W2026946703","https://openalex.org/W4210534497","https://openalex.org/W2950014449","https://openalex.org/W1974234252","https://openalex.org/W2762132246"],"abstract_inverted_index":{"In":[0],"the":[1,5,9,13,16,54,57,61,66,69,73,89,92],"paper":[2],"is":[3,52],"considered":[4],"mathematical":[6,34],"model":[7,35],"of":[8,15,33,36,60,68,72,91,96,105],"diffusion":[10,37,74],"process":[11,38,75],"on":[12,83,102],"basis":[14,90],"differential":[17],"diffusion-advection":[18],"equation":[19,71],"with":[20,39],"fractional":[21,70,106],"order":[22],"derivatives":[23],"in":[24],"temporal":[25],"and":[26,44,65],"spatial":[27],"coordinates.":[28],"Differences":[29],"schemes":[30],"for":[31,46],"approximation":[32],"fractal":[40],"structure":[41],"are":[42,49,86,99],"presented":[43],"algorithms":[45,85],"their":[47],"realization":[48],"created.":[50],"It":[51],"analysed":[53],"relationship":[55],"between":[56],"density":[58],"functions":[59],"fractionally":[62],"stable":[63],"distributions":[64],"solutions":[67],"over":[76],"time.":[77],"Discrete":[78],"random":[79,97],"walk":[80],"models":[81],"based":[82],"difference":[84],"presented.":[87],"On":[88],"developed":[93],"software,":[94],"trajectories":[95],"walks":[98],"analysed,":[100],"depending":[101],"different":[103],"values":[104],"derivatives.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}