{"id":"https://openalex.org/W4200028074","doi":"https://doi.org/10.1155/2021/3248376","title":"Analytical Investigation of Noyes\u2013Field Model for Time\u2010Fractional Belousov\u2013Zhabotinsky Reaction","display_name":"Analytical Investigation of Noyes\u2013Field Model for Time\u2010Fractional Belousov\u2013Zhabotinsky Reaction","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W4200028074","doi":"https://doi.org/10.1155/2021/3248376"},"language":"en","primary_location":{"id":"doi:10.1155/2021/3248376","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/3248376","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/3248376.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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":"Complexity","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/complexity/2021/3248376.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090065770","display_name":"Mohammed Kbiri Alaoui","orcid":"https://orcid.org/0000-0002-2644-2881"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohammed Kbiri Alaoui","raw_affiliation_strings":["Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia","Department of Mathematics, College of Sciences, King Khalid University, Abha 61413"],"raw_orcid":"https://orcid.org/0000-0002-2644-2881","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]},{"raw_affiliation_string":"Department of Mathematics, College of Sciences, King Khalid University, Abha 61413","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103169921","display_name":"Rabia Fayyaz","orcid":"https://orcid.org/0000-0002-7271-3611"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Rabia Fayyaz","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan","Department of Mathematics, COMSATS University Islamabad, Islamabad"],"raw_orcid":"https://orcid.org/0000-0002-7271-3611","affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan","institution_ids":["https://openalex.org/I16076960"]},{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Islamabad","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020035486","display_name":"Adnan Khan","orcid":"https://orcid.org/0000-0001-7845-609X"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Adnan Khan","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan","Department of Mathematics, Abdul Wali Khan University, Mardan 23200"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan","institution_ids":["https://openalex.org/I181063083"]},{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University, Mardan 23200","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083354054","display_name":"Rasool Shah","orcid":"https://orcid.org/0000-0003-4306-8489"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Rasool Shah","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan","Department of Mathematics, Abdul Wali Khan University, Mardan 23200"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan","institution_ids":["https://openalex.org/I181063083"]},{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University, Mardan 23200","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070524846","display_name":"Mohammed S. \u202cAbdo","orcid":"https://orcid.org/0000-0001-9085-324X"},"institutions":[{"id":"https://openalex.org/I31605765","display_name":"Hodeidah University","ror":"https://ror.org/05fkpm735","country_code":"YE","type":"education","lineage":["https://openalex.org/I31605765"]}],"countries":["YE"],"is_corresponding":true,"raw_author_name":"Mohammed S. Abdo","raw_affiliation_strings":["Department of Mathematics, Hodeidah University, Al-Hodeidah, Yemen","Department of Mathematics, Hodeidah University, Al-Hodeidah"],"raw_orcid":"https://orcid.org/0000-0001-9085-324X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hodeidah University, Al-Hodeidah, Yemen","institution_ids":["https://openalex.org/I31605765"]},{"raw_affiliation_string":"Department of Mathematics, Hodeidah University, Al-Hodeidah","institution_ids":["https://openalex.org/I31605765"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5070524846","https://openalex.org/A5103169921"],"corresponding_institution_ids":["https://openalex.org/I16076960","https://openalex.org/I31605765"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":6.6624,"has_fulltext":true,"cited_by_count":79,"citation_normalized_percentile":{"value":0.97668794,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9890000224113464,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/belousov\u2013zhabotinsky-reaction","display_name":"Belousov\u2013Zhabotinsky reaction","score":0.5576173663139343},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5287337303161621},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3307909667491913},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.2740251421928406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19516709446907043},{"id":"https://openalex.org/keywords/physical-chemistry","display_name":"Physical chemistry","score":0.17028716206550598}],"concepts":[{"id":"https://openalex.org/C41971866","wikidata":"https://www.wikidata.org/wiki/Q816151","display_name":"Belousov\u2013Zhabotinsky reaction","level":2,"score":0.5576173663139343},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5287337303161621},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3307909667491913},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2740251421928406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19516709446907043},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.17028716206550598},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2021/3248376","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/3248376","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/3248376.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:876bd6ec513e475799bd8f92bed9e4b5","is_oa":true,"landing_page_url":"https://doaj.org/article/876bd6ec513e475799bd8f92bed9e4b5","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":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/3248376","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/3248376","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/3248376.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3139946823","display_name":null,"funder_award_id":"R.G.P-1/192/42","funder_id":"https://openalex.org/F4320324433","funder_display_name":"King Khalid University"},{"id":"https://openalex.org/G4921614378","display_name":null,"funder_award_id":"61413","funder_id":"https://openalex.org/F4320324433","funder_display_name":"King Khalid University"}],"funders":[{"id":"https://openalex.org/F4320324433","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4200028074.pdf","grobid_xml":"https://content.openalex.org/works/W4200028074.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1541112376","https://openalex.org/W1965027360","https://openalex.org/W1971062640","https://openalex.org/W1979268390","https://openalex.org/W1986090710","https://openalex.org/W1992363487","https://openalex.org/W1997290136","https://openalex.org/W2002138473","https://openalex.org/W2009343239","https://openalex.org/W2027870450","https://openalex.org/W2046223292","https://openalex.org/W2070454382","https://openalex.org/W2079236289","https://openalex.org/W2083432344","https://openalex.org/W2086672934","https://openalex.org/W2087226000","https://openalex.org/W2093651704","https://openalex.org/W2106912849","https://openalex.org/W2165917005","https://openalex.org/W2397273831","https://openalex.org/W2508038809","https://openalex.org/W2783497650","https://openalex.org/W2787959293","https://openalex.org/W3015001775","https://openalex.org/W3024042440","https://openalex.org/W3044135167","https://openalex.org/W3086245083","https://openalex.org/W3093552418","https://openalex.org/W3154837142","https://openalex.org/W3168065094","https://openalex.org/W3182952698","https://openalex.org/W4212834435","https://openalex.org/W4240465921","https://openalex.org/W4301223505"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2791849976","https://openalex.org/W4289531678","https://openalex.org/W2020669852","https://openalex.org/W2083413931","https://openalex.org/W2023579156","https://openalex.org/W2030820157","https://openalex.org/W4387647843"],"abstract_inverted_index":{"In":[0,36],"this":[1],"article,":[2],"we":[3,46],"find":[4],"the":[5,21,25,39,50,58,62,69,72,83,88,96,110,115,119,125,134],"solution":[6,45,60,84,111],"of":[7,24,52,61,71,98,122,137,153],"time\u2010fractional":[8,63],"Belousov\u2013Zhabotinskii":[9,64],"reaction":[10],"by":[11,113],"implementing":[12],"two":[13],"well\u2010known":[14],"analytical":[15,59],"techniques.":[16],"The":[17,44,128],"proposed":[18,73,129],"methods":[19],"are":[20,93,101],"modified":[22],"form":[23,51],"Adomian":[26],"decomposition":[27],"method":[28,32],"and":[29,80,90],"homotopy":[30],"perturbation":[31],"with":[33,95],"Yang":[34],"transform.":[35],"Caputo":[37],"manner,":[38],"fractional":[40],"derivative":[41],"is":[42,48,78,85,133],"used.":[43],"obtained":[47,112],"in":[49,56,150],"series":[53],"which":[54,100],"helps":[55],"investigating":[57],"(B\u2010Z)":[65],"system.":[66],"To":[67],"verify":[68],"accuracy":[70],"methods,":[74],"an":[75],"illustrative":[76],"example":[77],"taken,":[79],"through":[81],"graphs,":[82],"shown.":[86],"Also,":[87],"fractional\u2010order":[89,147],"integer\u2010order":[91],"solutions":[92],"compared":[94],"help":[97],"graphs":[99],"easy":[102],"to":[103,124,145],"understand.":[104],"It":[105,140],"has":[106,118],"been":[107],"verified":[108],"that":[109],"using":[114],"given":[116],"approaches":[117],"desired":[120],"rate":[121],"convergence":[123],"exact":[126],"solution.":[127],"technique\u2019s":[130],"principal":[131],"benefit":[132],"low":[135],"amount":[136],"calculations":[138],"required.":[139],"can":[141],"also":[142],"be":[143],"used":[144],"solve":[146],"physical":[148],"problems":[149],"a":[151],"variety":[152],"domains.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":25},{"year":2022,"cited_by_count":42}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}