{"id":"https://openalex.org/W2943562896","doi":"https://doi.org/10.1155/2019/3456848","title":"A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation","display_name":"A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation","publication_year":2019,"publication_date":"2019-05-02","ids":{"openalex":"https://openalex.org/W2943562896","doi":"https://doi.org/10.1155/2019/3456848","mag":"2943562896"},"language":"en","primary_location":{"id":"doi:10.1155/2019/3456848","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/3456848","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/3456848.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2019/3456848.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100670258","display_name":"Mohamed R. Ali","orcid":"https://orcid.org/0000-0002-0795-0709"},"institutions":[{"id":"https://openalex.org/I207547235","display_name":"Benha University","ror":"https://ror.org/03tn5ee41","country_code":"EG","type":"education","lineage":["https://openalex.org/I207547235"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Mohamed R. Ali","raw_affiliation_strings":["Department of Mathematics, Benha Faculty of Engineering, Benha University, Benha, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-0795-0709","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Benha Faculty of Engineering, Benha University, Benha, Egypt","institution_ids":["https://openalex.org/I207547235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100670258"],"corresponding_institution_ids":["https://openalex.org/I207547235"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":4.3222,"has_fulltext":true,"cited_by_count":32,"citation_normalized_percentile":{"value":0.94935007,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"2019","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991000294685364,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7385119795799255},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6155790686607361},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.5778210759162903},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5027263164520264},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.4914451837539673},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.47159966826438904},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.464702308177948},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.447131872177124},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4439535439014435},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4270457327365875},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.41225171089172363},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4099714756011963},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08337381482124329}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7385119795799255},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6155790686607361},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5778210759162903},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5027263164520264},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4914451837539673},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.47159966826438904},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.464702308177948},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.447131872177124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4439535439014435},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4270457327365875},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.41225171089172363},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4099714756011963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08337381482124329},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2019/3456848","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/3456848","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/3456848.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1563933633","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1563933633","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:3456848","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2019/3456848.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:eac724fbfd8c47e6867ca2611f5a75a6","is_oa":true,"landing_page_url":"https://doaj.org/article/eac724fbfd8c47e6867ca2611f5a75a6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/3456848","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/3456848","pdf_url":"https://downloads.hindawi.com/journals/jam/2019/3456848.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2943562896.pdf","grobid_xml":"https://content.openalex.org/works/W2943562896.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1966201735","https://openalex.org/W1972378293","https://openalex.org/W1980539174","https://openalex.org/W1994548859","https://openalex.org/W2009990774","https://openalex.org/W2022367128","https://openalex.org/W2043463800","https://openalex.org/W2046964496","https://openalex.org/W2063803045","https://openalex.org/W2067577527","https://openalex.org/W2086865930","https://openalex.org/W2090180909","https://openalex.org/W2171779074","https://openalex.org/W2224191651","https://openalex.org/W2227458283","https://openalex.org/W2560323273","https://openalex.org/W2562050086","https://openalex.org/W2765131624","https://openalex.org/W2781746885","https://openalex.org/W2794056480"],"related_works":["https://openalex.org/W2040666836","https://openalex.org/W2238041693","https://openalex.org/W2112774109","https://openalex.org/W125347959","https://openalex.org/W1990789772","https://openalex.org/W138907054","https://openalex.org/W2536422707","https://openalex.org/W24145419","https://openalex.org/W2044869171","https://openalex.org/W2036329708"],"abstract_inverted_index":{"We":[0],"deem":[1],"the":[2,9,15,37,53,57],"time-fractional":[3,38],"Benjamin-Ono":[4],"(BO)":[5],"equation":[6,40,46],"out":[7],"of":[8,48],"Riemann\u2013Liouville":[10],"(RL)":[11],"derivative":[12],"by":[13,55],"applying":[14],"Lie":[16],"symmetry":[17],"analysis":[18],"(LSA).":[19],"By":[20],"first":[21],"using":[22,32],"prolongation":[23],"theorem":[24],"to":[25,35,41],"investigate":[26],"its":[27],"similarity":[28],"vectors":[29],"and":[30],"then":[31],"these":[33],"generators":[34],"transform":[36],"BO":[39],"a":[42],"nonlinear":[43],"ordinary":[44],"differential":[45],"(NLODE)":[47],"fractional":[49],"order,":[50],"we":[51],"complete":[52],"solutions":[54],"utilizing":[56],"power":[58],"series":[59],"method":[60],"(PSM).":[61]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":4}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
