{"id":"https://openalex.org/W1968840061","doi":"https://doi.org/10.1155/2014/218092","title":"Solution of Moving Boundary Space-Time Fractional Burger\u2019s Equation","display_name":"Solution of Moving Boundary Space-Time Fractional Burger\u2019s Equation","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1968840061","doi":"https://doi.org/10.1155/2014/218092","mag":"1968840061"},"language":"en","primary_location":{"id":"doi:10.1155/2014/218092","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/218092","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/218092.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/2014/218092.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004841798","display_name":"Emad A.\u2010B. Abdel\u2010Salam","orcid":null},"institutions":[{"id":"https://openalex.org/I91041137","display_name":"Assiut University","ror":"https://ror.org/01jaj8n65","country_code":"EG","type":"education","lineage":["https://openalex.org/I91041137"]},{"id":"https://openalex.org/I118590987","display_name":"Northern Border University","ror":"https://ror.org/03j9tzj20","country_code":"SA","type":"education","lineage":["https://openalex.org/I118590987"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"E. A.-B. Abdel-Salam","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Assiut University, New Valley Branch, El-Kharja 72511, Egypt","Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Assiut University, New Valley Branch, El-Kharja 72511, Egypt","institution_ids":["https://openalex.org/I91041137"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia","institution_ids":["https://openalex.org/I118590987"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061216954","display_name":"Eltayeb A. Yousif","orcid":null},"institutions":[{"id":"https://openalex.org/I150406212","display_name":"University of Khartoum","ror":"https://ror.org/02jbayz55","country_code":"SD","type":"education","lineage":["https://openalex.org/I150406212"]},{"id":"https://openalex.org/I118590987","display_name":"Northern Border University","ror":"https://ror.org/03j9tzj20","country_code":"SA","type":"education","lineage":["https://openalex.org/I118590987"]}],"countries":["SA","SD"],"is_corresponding":false,"raw_author_name":"E. A. Yousif","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Khartoum, 11111 Khartoum, Sudan","Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Khartoum, 11111 Khartoum, Sudan","institution_ids":["https://openalex.org/I150406212"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia","institution_ids":["https://openalex.org/I118590987"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026041231","display_name":"Yagoub. A. S. Arko","orcid":null},"institutions":[{"id":"https://openalex.org/I118590987","display_name":"Northern Border University","ror":"https://ror.org/03j9tzj20","country_code":"SA","type":"education","lineage":["https://openalex.org/I118590987"]},{"id":"https://openalex.org/I9353105","display_name":"Sudan University of Science and Technology","ror":"https://ror.org/02fwtg066","country_code":"SD","type":"education","lineage":["https://openalex.org/I9353105"]}],"countries":["SA","SD"],"is_corresponding":false,"raw_author_name":"Y. A. S. Arko","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia","Department of Mathematics, Faculty of Science, Sudan University of Science and Technology, 11115 Khartoum, Sudan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia","institution_ids":["https://openalex.org/I118590987"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Sudan University of Science and Technology, 11115 Khartoum, Sudan","institution_ids":["https://openalex.org/I9353105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036559081","display_name":"Elzain A. E. Gumma","orcid":null},"institutions":[{"id":"https://openalex.org/I263913023","display_name":"International University of Africa","ror":"https://ror.org/029jt9a82","country_code":"SD","type":"education","lineage":["https://openalex.org/I263913023"]},{"id":"https://openalex.org/I118590987","display_name":"Northern Border University","ror":"https://ror.org/03j9tzj20","country_code":"SA","type":"education","lineage":["https://openalex.org/I118590987"]}],"countries":["SA","SD"],"is_corresponding":false,"raw_author_name":"E. A. E. Gumma","raw_affiliation_strings":["Department of Mathematics, Faculty of Applied and Pure Science, International University of Africa, 14415 Khartoum, Sudan","Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Applied and Pure Science, International University of Africa, 14415 Khartoum, Sudan","institution_ids":["https://openalex.org/I263913023"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia","institution_ids":["https://openalex.org/I118590987"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5004841798"],"corresponding_institution_ids":["https://openalex.org/I118590987","https://openalex.org/I91041137"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.583,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.89445086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8010963797569275},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.665138304233551},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.6577346920967102},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.5992980003356934},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5462583303451538},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4784950613975525},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.45501697063446045},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4363827705383301},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4321726858615875},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4264790415763855},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4143352210521698},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.39351680874824524},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34155529737472534},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06155458092689514}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8010963797569275},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.665138304233551},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.6577346920967102},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.5992980003356934},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5462583303451538},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4784950613975525},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.45501697063446045},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4363827705383301},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4321726858615875},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4264790415763855},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4143352210521698},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.39351680874824524},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34155529737472534},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06155458092689514},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/218092","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/218092","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/218092.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/1425306032","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425306032","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:218092","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/218092.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:02e8bf6f99934a2cae8ccf72ca1e1996","is_oa":true,"landing_page_url":"https://doaj.org/article/02e8bf6f99934a2cae8ccf72ca1e1996","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 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/218092","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/218092","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/218092.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/W1968840061.pdf","grobid_xml":"https://content.openalex.org/works/W1968840061.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W1508366887","https://openalex.org/W1518792628","https://openalex.org/W1541112376","https://openalex.org/W1602967628","https://openalex.org/W1964471993","https://openalex.org/W1966553738","https://openalex.org/W1968675744","https://openalex.org/W1969202999","https://openalex.org/W1972378293","https://openalex.org/W1973116055","https://openalex.org/W1982131328","https://openalex.org/W1983396466","https://openalex.org/W1985609744","https://openalex.org/W1990934669","https://openalex.org/W1993063284","https://openalex.org/W2002006488","https://openalex.org/W2008590430","https://openalex.org/W2010016067","https://openalex.org/W2012504561","https://openalex.org/W2019031655","https://openalex.org/W2022787284","https://openalex.org/W2025930150","https://openalex.org/W2029597354","https://openalex.org/W2029875052","https://openalex.org/W2031350245","https://openalex.org/W2031897410","https://openalex.org/W2036791637","https://openalex.org/W2041250168","https://openalex.org/W2042045559","https://openalex.org/W2043086833","https://openalex.org/W2061496940","https://openalex.org/W2063446817","https://openalex.org/W2066127570","https://openalex.org/W2067577527","https://openalex.org/W2072703335","https://openalex.org/W2077430350","https://openalex.org/W2080706581","https://openalex.org/W2084797093","https://openalex.org/W2086461451","https://openalex.org/W2086923571","https://openalex.org/W2092718516","https://openalex.org/W2093865167","https://openalex.org/W2095086525","https://openalex.org/W2095381905","https://openalex.org/W2104868045","https://openalex.org/W2111835916","https://openalex.org/W2112046423","https://openalex.org/W2118308885","https://openalex.org/W2144688066","https://openalex.org/W2165397996","https://openalex.org/W2169151899","https://openalex.org/W2267396220","https://openalex.org/W2529871365","https://openalex.org/W3140375045"],"related_works":["https://openalex.org/W4317829640","https://openalex.org/W1598394172","https://openalex.org/W95230609","https://openalex.org/W2944672690","https://openalex.org/W2967636333","https://openalex.org/W2939138457","https://openalex.org/W2419511038","https://openalex.org/W2521229385","https://openalex.org/W2983300459","https://openalex.org/W4384134342"],"abstract_inverted_index":{"The":[0,31,51],"fractional":[1,9,26],"Riccati":[2],"expansion":[3],"method":[4],"is":[5,29],"used":[6],"to":[7],"solve":[8],"differential":[10],"equations":[11],"with":[12],"variable":[13],"coefficients.":[14],"To":[15],"illustrate":[16],"the":[17,20,22,48,58,62],"effectiveness":[18],"of":[19,61],"method,":[21],"moving":[23,55],"boundary":[24],"space-time":[25],"Burger\u2019s":[27,63],"equation":[28,64],"studied.":[30],"obtained":[32],"solutions":[33],"include":[34],"generalized":[35],"trigonometric":[36],"and":[37,53,68],"hyperbolic":[38],"function":[39],"solutions.":[40],"Among":[41],"these":[42],"solutions,":[43],"some":[44],"are":[45,65],"found":[46],"for":[47,57],"first":[49],"time.":[50],"linear":[52],"periodic":[54],"boundaries":[56],"kink":[59],"solution":[60],"presented":[66],"graphically":[67],"discussed.":[69]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
