{"id":"https://openalex.org/W3156861408","doi":"https://doi.org/10.3390/math9080801","title":"An Analytical Technique Implemented in the Fractional Clannish Random Walker\u2019s Parabolic Equation with Nonlinear Physical Phenomena","display_name":"An Analytical Technique Implemented in the Fractional Clannish Random Walker\u2019s Parabolic Equation with Nonlinear Physical Phenomena","publication_year":2021,"publication_date":"2021-04-07","ids":{"openalex":"https://openalex.org/W3156861408","doi":"https://doi.org/10.3390/math9080801","mag":"3156861408"},"language":"en","primary_location":{"id":"doi:10.3390/math9080801","doi":"https://doi.org/10.3390/math9080801","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math9080801","pdf_url":"https://www.mdpi.com/2227-7390/9/8/801/pdf?version=1619140245","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2227-7390/9/8/801/pdf?version=1619140245","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056864680","display_name":"Md. Nur Alam","orcid":"https://orcid.org/0000-0001-6815-678X","observed_orcids":["https://orcid.org/0000-0001-6815-678X"]},"institutions":[{"id":"https://openalex.org/I260446899","display_name":"Pabna University of Science and Technology","ror":"https://ror.org/01vxg3438","country_code":"BD","type":"education","lineage":["https://openalex.org/I260446899"]}],"countries":["BD"],"is_corresponding":false,"raw_author_name":"Md. Nur Alam","raw_affiliation_strings":["Department of Mathematics, Pabna University of Science & Technology, Pabna 6600, Bangladesh"],"raw_orcid":"https://orcid.org/0000-0001-6815-678X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pabna University of Science & Technology, Pabna 6600, Bangladesh","institution_ids":["https://openalex.org/I260446899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003564232","display_name":"Imran Talib","orcid":"https://orcid.org/0000-0003-0115-4506","observed_orcids":["https://orcid.org/0000-0003-0115-4506"]},"institutions":[{"id":"https://openalex.org/I79571142","display_name":"Virtual University of Pakistan","ror":"https://ror.org/00ya1zd25","country_code":"PK","type":"education","lineage":["https://openalex.org/I79571142"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Imran Talib","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science and Technology, Virtual University of Pakistan, Lahore 54000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science and Technology, Virtual University of Pakistan, Lahore 54000, Pakistan","institution_ids":["https://openalex.org/I79571142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034511816","display_name":"Omar Bazighifan","orcid":"https://orcid.org/0000-0002-7251-9608","observed_orcids":["https://orcid.org/0000-0002-7251-9608"]},"institutions":[{"id":"https://openalex.org/I319841309","display_name":"Hadhramout University","ror":"https://ror.org/02kv0px94","country_code":"YE","type":"education","lineage":["https://openalex.org/I319841309"]}],"countries":["YE"],"is_corresponding":true,"raw_author_name":"Omar Bazighifan","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen"],"raw_orcid":"https://orcid.org/0000-0002-7251-9608","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen","institution_ids":["https://openalex.org/I319841309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070501286","display_name":"Dimplekumar  Navinchandra Chalishajar","orcid":"https://orcid.org/0000-0002-6146-5544","observed_orcids":["https://orcid.org/0000-0002-6146-5544"]},"institutions":[{"id":"https://openalex.org/I185641255","display_name":"Virginia Military Institute","ror":"https://ror.org/01ngnm118","country_code":"US","type":"education","lineage":["https://openalex.org/I185641255"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dimplekumar N. Chalishajar","raw_affiliation_strings":["Department of Applied Mathematics, Virginia Military Institute, 435 Mallory Hall, Letcher Av, Lexington, VA 24450, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Virginia Military Institute, 435 Mallory Hall, Letcher Av, Lexington, VA 24450, USA","institution_ids":["https://openalex.org/I185641255"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013998288","display_name":"Barakah Almarri","orcid":"https://orcid.org/0000-0002-2878-5300","observed_orcids":["https://orcid.org/0000-0002-2878-5300"]},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Barakah Almarri","raw_affiliation_strings":["Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11564, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11564, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5034511816","https://openalex.org/A5070501286"],"corresponding_institution_ids":["https://openalex.org/I185641255","https://openalex.org/I319841309"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1728},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1728},"fwci":1.344,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.80021654,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":99},"biblio":{"volume":"9","issue":"8","first_page":"801","last_page":"801"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.7226999998092651,"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":0.7226999998092651,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.26170000433921814,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0017999999690800905,"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/g-g-expansion-method","display_name":"(G'/G)-expansion method","score":0.871999979019165},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.9959999918937683},{"id":"https://openalex.org/keywords/nonlinear-fractional-differential-equations","display_name":"nonlinear fractional differential equations","score":0.8360000252723694},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.5759999752044678}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7121854424476624},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6558999419212341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6022882461547852},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.5454959273338318},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5201314091682434},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5199338793754578},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.478143572807312},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45053622126579285},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3599421977996826},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1389618217945099},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09292364120483398},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/math9080801","doi":"https://doi.org/10.3390/math9080801","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math9080801","pdf_url":"https://www.mdpi.com/2227-7390/9/8/801/pdf?version=1619140245","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:gam:jmathe:v:9:y:2021:i:8:p:801-:d:531628","doi":null,"is_oa":false,"landing_page_url":"https://www.mdpi.com/2227-7390/9/8/801/","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,"listed_in":[],"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:75ef970178ea4956948bc1077049980c","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/75ef970178ea4956948bc1077049980c","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,"listed_in":[],"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":"Mathematics, Vol 9, Iss 8, p 801 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/math9080801","doi":"https://doi.org/10.3390/math9080801","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math9080801","pdf_url":"https://www.mdpi.com/2227-7390/9/8/801/pdf?version=1619140245","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322484","display_name":"Princess Nourah Bint Abdulrahman University","ror":"https://ror.org/05b0cyh02"},{"id":"https://openalex.org/F4320337220","display_name":"Deanship of Scientific Research, Princess Nourah Bint Abdulrahman University","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3156861408.pdf","grobid_xml":"https://content.openalex.org/works/W3156861408.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1553338987","https://openalex.org/W1966553738","https://openalex.org/W1990934669","https://openalex.org/W2063067239","https://openalex.org/W2069155430","https://openalex.org/W2266990400","https://openalex.org/W2472805732","https://openalex.org/W2484832578","https://openalex.org/W2556784265","https://openalex.org/W2749280058","https://openalex.org/W2776653157","https://openalex.org/W2787959293","https://openalex.org/W2788479621","https://openalex.org/W2800099684","https://openalex.org/W2925776812","https://openalex.org/W2955486868","https://openalex.org/W2970328856","https://openalex.org/W3001336052","https://openalex.org/W3005287998","https://openalex.org/W3006699946","https://openalex.org/W3008795338","https://openalex.org/W3011152508","https://openalex.org/W3015886276","https://openalex.org/W3024043708","https://openalex.org/W3024925239","https://openalex.org/W3046905372","https://openalex.org/W3088263709","https://openalex.org/W3091689644","https://openalex.org/W3091944393","https://openalex.org/W3092569095","https://openalex.org/W3095464494","https://openalex.org/W3095932949","https://openalex.org/W3113035196","https://openalex.org/W3127057452","https://openalex.org/W3128846435"],"related_works":["https://openalex.org/W4224292164","https://openalex.org/W2484832578","https://openalex.org/W4297496652","https://openalex.org/W4391352363","https://openalex.org/W7204110394","https://openalex.org/W3167641357","https://openalex.org/W4390474044","https://openalex.org/W3131358911","https://openalex.org/W4362547382","https://openalex.org/W4390417329"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,14,26,32],"adapted":[4],"(G\u2032/G)-expansion":[5],"scheme":[6],"is":[7],"executed":[8],"to":[9,13,49],"obtain":[10],"exact":[11,38,51],"solutions":[12,52],"fractional":[15,56],"Clannish":[16],"Random":[17],"Walker\u2019s":[18],"Parabolic":[19],"(FCRWP)":[20],"equation.":[21],"Some":[22],"innovative":[23],"results":[24],"of":[25,37],"FCRWP":[27],"equation":[28],"are":[29,40],"gained":[30],"via":[31],"scheme.":[33],"A":[34],"diverse":[35],"variety":[36],"outcomes":[39],"obtained.":[41],"The":[42],"proposed":[43],"procedure":[44],"could":[45],"also":[46],"be":[47],"used":[48],"acquire":[50],"for":[53],"other":[54],"nonlinear":[55],"mathematical":[57],"models":[58],"(NLFMMs).":[59]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2021-04-26T00:00:00"}
