{"id":"https://openalex.org/W4213098683","doi":"https://doi.org/10.1080/25765299.2022.2037843","title":"On existence and semi-analytical results to fractional order mathematical model of COVID-19","display_name":"On existence and semi-analytical results to fractional order mathematical model of COVID-19","publication_year":2022,"publication_date":"2022-02-17","ids":{"openalex":"https://openalex.org/W4213098683","doi":"https://doi.org/10.1080/25765299.2022.2037843"},"language":"en","primary_location":{"id":"doi:10.1080/25765299.2022.2037843","doi":"https://doi.org/10.1080/25765299.2022.2037843","is_oa":true,"landing_page_url":"https://doi.org/10.1080/25765299.2022.2037843","pdf_url":null,"source":{"id":"https://openalex.org/S4210213799","display_name":"Arab Journal of Basic and Applied Sciences","issn_l":"2576-5299","issn":["2576-5299"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Arab Journal of Basic and Applied Sciences","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://doi.org/10.1080/25765299.2022.2037843","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101892073","display_name":"Faiz Muhammad Khan","orcid":"https://orcid.org/0000-0002-5555-6976","observed_orcids":["https://orcid.org/0000-0002-5555-6976","https://orcid.org/0000-0310-0001-0033"]},"institutions":[{"id":"https://openalex.org/I335365548","display_name":"University of Swat","ror":"https://ror.org/01q9mqz67","country_code":"PK","type":"education","lineage":["https://openalex.org/I335365548"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Faiz Muhammad Khan","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan","institution_ids":["https://openalex.org/I335365548"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076676429","display_name":"Amjad Ali","orcid":"https://orcid.org/0000-0001-7112-4922","observed_orcids":["https://orcid.org/0000-0001-7112-4922"]},"institutions":[{"id":"https://openalex.org/I335365548","display_name":"University of Swat","ror":"https://ror.org/01q9mqz67","country_code":"PK","type":"education","lineage":["https://openalex.org/I335365548"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Amjad Ali","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan","institution_ids":["https://openalex.org/I335365548"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102886363","display_name":"Zia Ullah Khan","orcid":"https://orcid.org/0000-0002-0312-6894","observed_orcids":["https://orcid.org/0000-0002-0312-6894"]},"institutions":[{"id":"https://openalex.org/I335365548","display_name":"University of Swat","ror":"https://ror.org/01q9mqz67","country_code":"PK","type":"education","lineage":["https://openalex.org/I335365548"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Zia Ullah Khan","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan","institution_ids":["https://openalex.org/I335365548"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102886363"],"corresponding_institution_ids":["https://openalex.org/I335365548"],"apc_list":{"value":770,"currency":"GBP","value_usd":944},"apc_paid":{"value":770,"currency":"GBP","value_usd":944},"fwci":0.5377,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.56830474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"29","issue":"1","first_page":"40","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.6567000150680542,"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/T10410","display_name":"COVID-19 epidemiological studies","score":0.6567000150680542,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.12349999696016312,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.09740000218153,"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/covid-19","display_name":"COVID-19 pandemic","score":0.9909999966621399},{"id":"https://openalex.org/keywords/fractional-order-epidemic-model","display_name":"fractional-order epidemic model","score":0.7620000243186951},{"id":"https://openalex.org/keywords/sars-cov-2","display_name":"SARS-CoV-2","score":0.8370000123977661},{"id":"https://openalex.org/keywords/existence-of-solutions","display_name":"existence of solutions","score":0.8939999938011169},{"id":"https://openalex.org/keywords/fixed-point-theory","display_name":"fixed point theory","score":0.8790000081062317},{"id":"https://openalex.org/keywords/adomian-decomposition-method","display_name":"Adomian decomposition method","score":0.8600000143051147},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.8840000033378601},{"id":"https://openalex.org/keywords/semi-analytical-solution","display_name":"semi-analytical solution","score":0.8999999761581421},{"id":"https://openalex.org/keywords/infectious-disease-dynamics","display_name":"infectious disease dynamics","score":0.7580000162124634}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7250168323516846},{"id":"https://openalex.org/C3008058167","wikidata":"https://www.wikidata.org/wiki/Q84263196","display_name":"Coronavirus disease 2019 (COVID-19)","level":4,"score":0.6634430289268494},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6227362751960754},{"id":"https://openalex.org/C89623803","wikidata":"https://www.wikidata.org/wiki/Q12184","display_name":"Pandemic","level":5,"score":0.5859558582305908},{"id":"https://openalex.org/C120317633","wikidata":"https://www.wikidata.org/wiki/Q3042796","display_name":"Adomian decomposition method","level":3,"score":0.5479417443275452},{"id":"https://openalex.org/C116675565","wikidata":"https://www.wikidata.org/wiki/Q3241045","display_name":"Outbreak","level":2,"score":0.5199631452560425},{"id":"https://openalex.org/C2776779350","wikidata":"https://www.wikidata.org/wiki/Q1134503","display_name":"Corona (planetary geology)","level":3,"score":0.48209336400032043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46416619420051575},{"id":"https://openalex.org/C2908941092","wikidata":"https://www.wikidata.org/wiki/Q1928978","display_name":"Virus diseases","level":3,"score":0.4609345495700836},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43963974714279175},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.43148452043533325},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4185646176338196},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.40245887637138367},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.38452231884002686},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3343179225921631},{"id":"https://openalex.org/C159047783","wikidata":"https://www.wikidata.org/wiki/Q7215","display_name":"Virology","level":1,"score":0.3217369318008423},{"id":"https://openalex.org/C524204448","wikidata":"https://www.wikidata.org/wiki/Q788926","display_name":"Infectious disease (medical specialty)","level":3,"score":0.30611079931259155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30189239978790283},{"id":"https://openalex.org/C2522874641","wikidata":"https://www.wikidata.org/wiki/Q808","display_name":"Virus","level":2,"score":0.2849707007408142},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22921103239059448},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.12995722889900208},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1191033124923706},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09907490015029907},{"id":"https://openalex.org/C87355193","wikidata":"https://www.wikidata.org/wiki/Q411","display_name":"Astrobiology","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/C2779900269","wikidata":"https://www.wikidata.org/wiki/Q1408724","display_name":"Venus","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/25765299.2022.2037843","doi":"https://doi.org/10.1080/25765299.2022.2037843","is_oa":true,"landing_page_url":"https://doi.org/10.1080/25765299.2022.2037843","pdf_url":null,"source":{"id":"https://openalex.org/S4210213799","display_name":"Arab Journal of Basic and Applied Sciences","issn_l":"2576-5299","issn":["2576-5299"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Arab Journal of Basic and Applied Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:dc89f1228cca4c8f86be5fd5a5d4ac2c","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/dc89f1228cca4c8f86be5fd5a5d4ac2c","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":"Arab Journal of Basic and Applied Sciences, Vol 29, Iss 1, Pp 40-52 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1080/25765299.2022.2037843","doi":"https://doi.org/10.1080/25765299.2022.2037843","is_oa":true,"landing_page_url":"https://doi.org/10.1080/25765299.2022.2037843","pdf_url":null,"source":{"id":"https://openalex.org/S4210213799","display_name":"Arab Journal of Basic and Applied Sciences","issn_l":"2576-5299","issn":["2576-5299"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Arab Journal of Basic and Applied Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.8371999859809875}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1553338987","https://openalex.org/W1984533905","https://openalex.org/W1985438383","https://openalex.org/W1993577573","https://openalex.org/W2002006488","https://openalex.org/W2038266236","https://openalex.org/W2048721876","https://openalex.org/W2055693028","https://openalex.org/W2059995151","https://openalex.org/W2065898229","https://openalex.org/W2080675935","https://openalex.org/W2121643748","https://openalex.org/W2154317565","https://openalex.org/W2162450597","https://openalex.org/W2258422636","https://openalex.org/W2506586217","https://openalex.org/W2587415058","https://openalex.org/W2613510042","https://openalex.org/W2910814854","https://openalex.org/W2972566797","https://openalex.org/W3004280078","https://openalex.org/W3006703916","https://openalex.org/W3008234768","https://openalex.org/W3009041394","https://openalex.org/W3011076144","https://openalex.org/W3011205779","https://openalex.org/W3011427855","https://openalex.org/W3013818615","https://openalex.org/W3023019250","https://openalex.org/W3027261359","https://openalex.org/W3081240884","https://openalex.org/W3083867810","https://openalex.org/W3089672324","https://openalex.org/W3090244357","https://openalex.org/W3096872964","https://openalex.org/W3111434175","https://openalex.org/W3127335105","https://openalex.org/W3128025695","https://openalex.org/W3161220829","https://openalex.org/W3215614866","https://openalex.org/W4249987602"],"related_works":["https://openalex.org/W4408311832","https://openalex.org/W4406245141","https://openalex.org/W4311771493","https://openalex.org/W4285260753","https://openalex.org/W3043090469","https://openalex.org/W3143946795","https://openalex.org/W4317608847","https://openalex.org/W3170389675","https://openalex.org/W3128474316","https://openalex.org/W4311620328"],"abstract_inverted_index":{"Corona":[0],"virus":[1,13,20],"disease":[2,64],"2019":[3],"(Covid-19)":[4],"is":[5,27],"an":[6],"illness":[7,29],"caused":[8],"by":[9,40],"a":[10,37,48],"natural":[11],"corona":[12,19],"called":[14,24],"severe":[15],"acute":[16],"respiratory":[17,28],"syndromes":[18],"2":[21],"(SARS-COV-2":[22],"formally":[23],"Covid-19)":[25],"which":[26],"and":[30],"has":[31],"been":[32],"declared":[33],"the":[34,52,59,66,84,88,91,94,101,108,114,119,139],"Covid-19":[35,46,62],"outbreak":[36],"global":[38],"pandemic":[39],"World":[41],"Health":[42],"Organization":[43],"(WHO).":[44],"Presently,":[45],"becomes":[47],"health":[49],"concern":[50],"around":[51],"globe.":[53],"In":[54],"present":[55],"article,":[56],"we":[57,82,98,124],"investigated":[58],"dynamics":[60],"of":[61,90,93,103],"infectious":[63],"under":[65,121],"fractional":[67,133],"order":[68,134],"derivative":[69],"from":[70],"both":[71],"theoretical":[72],"as":[73,75],"well":[74],"analytical":[76,116],"aspects.":[77],"Using":[78],"fixed-point":[79],"theory":[80],"results,":[81],"developed":[83],"indispensable":[85],"conditions":[86],"for":[87,118,138],"existence":[89],"solution":[92,117],"proposed":[95],"model.":[96],"Further":[97],"have":[99,125],"used":[100],"techniques":[102],"Laplace":[104],"transform":[105],"coupled":[106],"with":[107],"Adomian\u2019s":[109],"decomposition":[110],"method":[111],"to":[112,131],"obtain":[113],"semi":[115],"model":[120],"consideration.":[122],"Finally":[123],"provided":[126],"some":[127],"graphical":[128],"presentation":[129],"corresponding":[130],"different":[132],"derivatives":[135],"via":[136],"Matlab":[137],"desired":[140],"solutions.":[141]},"counts_by_year":[{"year":2023,"cited_by_count":4}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-02-24T00:00:00"}
