{"id":"https://openalex.org/W7127048251","doi":"https://doi.org/10.28919/afpt/9690","title":"Mathematical modeling and analysis of the dynamics of a nonlinear finance system via Hattaf fractional derivative and fixed point theory","display_name":"Mathematical modeling and analysis of the dynamics of a nonlinear finance system via Hattaf fractional derivative and fixed point theory","publication_year":2026,"publication_date":"2026-01-05","ids":{"openalex":"https://openalex.org/W7127048251","doi":"https://doi.org/10.28919/afpt/9690"},"language":"en","primary_location":{"id":"doi:10.28919/afpt/9690","doi":"https://doi.org/10.28919/afpt/9690","is_oa":true,"landing_page_url":"https://doi.org/10.28919/afpt/9690","pdf_url":null,"source":{"id":"https://openalex.org/S2764728787","display_name":"Advances in Fixed Point Theory","issn_l":"1927-6303","issn":["1927-6303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Adv. Fixed Point Theory","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.28919/afpt/9690","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124699941","display_name":"Khadija Toufiq","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Khadija Toufiq","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019625968","display_name":"S. Lasfar","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sara Lasfar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108278622","display_name":"Khalid Hattaf","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Khalid Hattaf","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5003644176","display_name":"Khalid Adnaoui","orcid":"https://orcid.org/0000-0001-5502-4278","observed_orcids":["https://orcid.org/0000-0001-5502-4278"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Khalid Adnaoui","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0939,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77711632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"16","issue":"0","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.7250999808311462,"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"}},"topics":[{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.7250999808311462,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.155799999833107,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.03959999978542328,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/fractional-differential-equations","display_name":"fractional differential equations","score":0.7850000262260437},{"id":"https://openalex.org/keywords/fixed-point-theory","display_name":"fixed point theory","score":0.8209999799728394},{"id":"https://openalex.org/keywords/well-posedness","display_name":"well-posedness","score":0.9929999709129333},{"id":"https://openalex.org/keywords/existence-of-equilibrium","display_name":"existence of equilibrium","score":0.9390000104904175},{"id":"https://openalex.org/keywords/stability-analysis","display_name":"stability analysis","score":0.8899999856948853},{"id":"https://openalex.org/keywords/financial-dynamics","display_name":"financial dynamics","score":0.6639999747276306}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6690999865531921},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6017000079154968},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5906999707221985},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5546000003814697},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.525600016117096},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.47620001435279846},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.4593999981880188},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4555000066757202},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4361000061035156},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4153999984264374},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4131999909877777},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.38679999113082886},{"id":"https://openalex.org/C23925645","wikidata":"https://www.wikidata.org/wiki/Q5449731","display_name":"Financial modeling","level":2,"score":0.35249999165534973},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.33719998598098755},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.314300000667572},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C93373587","wikidata":"https://www.wikidata.org/wiki/Q335632","display_name":"Mathematical finance","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.26440000534057617},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.2597000002861023},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.2554999887943268}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.28919/afpt/9690","doi":"https://doi.org/10.28919/afpt/9690","is_oa":true,"landing_page_url":"https://doi.org/10.28919/afpt/9690","pdf_url":null,"source":{"id":"https://openalex.org/S2764728787","display_name":"Advances in Fixed Point Theory","issn_l":"1927-6303","issn":["1927-6303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Adv. Fixed Point Theory","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.28919/afpt/9690","doi":"https://doi.org/10.28919/afpt/9690","is_oa":true,"landing_page_url":"https://doi.org/10.28919/afpt/9690","pdf_url":null,"source":{"id":"https://openalex.org/S2764728787","display_name":"Advances in Fixed Point Theory","issn_l":"1927-6303","issn":["1927-6303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Adv. Fixed Point Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7214519769","https://openalex.org/W4407227373","https://openalex.org/W4391221296","https://openalex.org/W4404128782","https://openalex.org/W4390926733","https://openalex.org/W7211881979","https://openalex.org/W3094172979","https://openalex.org/W2625708059","https://openalex.org/W4407547842","https://openalex.org/W4318571101"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,36,54],"propose":[4],"a":[5,14],"new":[6],"mathematical":[7],"model":[8,20,41,67],"that":[9,38],"describes":[10],"the":[11,29,56,61,65],"dynamics":[12],"of":[13,49,58,64],"nonlinear":[15],"finance":[16],"system.":[17],"The":[18],"proposed":[19],"is":[21,42,68],"formulated":[22],"by":[23,47],"fractional":[24,32,40],"differential":[25],"equations":[26],"(FDEs)":[27],"involving":[28],"generalized":[30],"Hattaf":[31],"(GHF)":[33],"derivative.":[34],"Firstly,":[35],"prove":[37],"our":[39,78],"mathematically":[43],"and":[44],"financially":[45],"well-posed":[46],"means":[48],"fixed":[50],"point":[51],"theory.":[52],"Additionally,":[53],"study":[55],"existence":[57],"equilibria.":[59],"Furthermore,":[60],"stability":[62],"analysis":[63],"financial":[66],"carefully":[69],"studied.":[70],"Finally,":[71],"numerical":[72],"simulations":[73],"are":[74],"presented":[75],"to":[76],"illustrate":[77],"theoretical":[79],"results.":[80]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-02-03T00:00:00"}