{"id":"https://openalex.org/W4312047543","doi":"https://doi.org/10.3390/sym14122604","title":"A Method for Performing the Symmetric Anti-Difference Equations in Quantum Fractional Calculus","display_name":"A Method for Performing the Symmetric Anti-Difference Equations in Quantum Fractional Calculus","publication_year":2022,"publication_date":"2022-12-08","ids":{"openalex":"https://openalex.org/W4312047543","doi":"https://doi.org/10.3390/sym14122604"},"language":"en","primary_location":{"id":"doi:10.3390/sym14122604","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14122604","pdf_url":"https://www.mdpi.com/2073-8994/14/12/2604/pdf?version=1671421518","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/12/2604/pdf?version=1671421518","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079740101","display_name":"V. Rexma Sherine","orcid":"https://orcid.org/0000-0002-8787-2711"},"institutions":[{"id":"https://openalex.org/I4210115584","display_name":"Sacred Heart College","ror":"https://ror.org/02pttbd79","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210115584"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"V. Rexma Sherine","raw_affiliation_strings":["Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635601, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0002-8787-2711","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635601, Tamil Nadu, India","institution_ids":["https://openalex.org/I4210115584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059506664","display_name":"T. G. Gerly","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115584","display_name":"Sacred Heart College","ror":"https://ror.org/02pttbd79","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210115584"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"T. G. Gerly","raw_affiliation_strings":["Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635601, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0002-9409-6896","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635601, Tamil Nadu, India","institution_ids":["https://openalex.org/I4210115584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054945233","display_name":"P. Chellamani","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101093","display_name":"St. Joseph's Institute of Technology","ror":"https://ror.org/012npkr10","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210101093"]},{"id":"https://openalex.org/I4387154592","display_name":"St. Joseph\u2019s College of Engineering","ror":"https://ror.org/01g3pby21","country_code":null,"type":"education","lineage":["https://openalex.org/I4387154592"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P. Chellamani","raw_affiliation_strings":["Department of Mathematics, St. Joseph\u2019s College of Engineering, OMR, Chennai 600119, Tamil Nadu, India","Department of Mathematics, St. Joseph's College of Engineering, OMR, Chennai 600119, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0002-9735-1004","affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Joseph\u2019s College of Engineering, OMR, Chennai 600119, Tamil Nadu, India","institution_ids":["https://openalex.org/I4210101093","https://openalex.org/I4387154592"]},{"raw_affiliation_string":"Department of Mathematics, St. Joseph's College of Engineering, OMR, Chennai 600119, Tamil Nadu, India","institution_ids":["https://openalex.org/I4210101093","https://openalex.org/I4387154592"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015548153","display_name":"Esmail Hassan Abdullatif Al-Sabri","orcid":"https://orcid.org/0000-0003-0418-193X"},"institutions":[{"id":"https://openalex.org/I78137547","display_name":"Ibb University","ror":"https://ror.org/00fhcxc56","country_code":"YE","type":"education","lineage":["https://openalex.org/I78137547"]},{"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","YE"],"is_corresponding":false,"raw_author_name":"Esmail Hassan Abdullatif Al-Sabri","raw_affiliation_strings":["Department of Mathematics and Computer, Faculty of Science, IBB University, Ibb 70270, Yemen","Department of Mathematics, College of Science and Arts (Muhayl Assir), King Khalid Universiy, Abha 62529, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-0418-193X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer, Faculty of Science, IBB University, Ibb 70270, Yemen","institution_ids":["https://openalex.org/I78137547"]},{"raw_affiliation_string":"Department of Mathematics, College of Science and Arts (Muhayl Assir), King Khalid Universiy, Abha 62529, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055781248","display_name":"Rashad Ismail","orcid":"https://orcid.org/0000-0002-7080-3824"},"institutions":[{"id":"https://openalex.org/I78137547","display_name":"Ibb University","ror":"https://ror.org/00fhcxc56","country_code":"YE","type":"education","lineage":["https://openalex.org/I78137547"]},{"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","YE"],"is_corresponding":false,"raw_author_name":"Rashad Ismail","raw_affiliation_strings":["Department of Mathematics and Computer, Faculty of Science, IBB University, Ibb 70270, Yemen","Department of Mathematics, College of Science and Arts (Muhayl Assir), King Khalid Universiy, Abha 62529, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-7080-3824","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer, Faculty of Science, IBB University, Ibb 70270, Yemen","institution_ids":["https://openalex.org/I78137547"]},{"raw_affiliation_string":"Department of Mathematics, College of Science and Arts (Muhayl Assir), King Khalid Universiy, Abha 62529, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026487534","display_name":"G. Britto Antony Xavier","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115584","display_name":"Sacred Heart College","ror":"https://ror.org/02pttbd79","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210115584"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"G. Britto Antony Xavier","raw_affiliation_strings":["Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635601, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0003-1911-1395","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635601, Tamil Nadu, India","institution_ids":["https://openalex.org/I4210115584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102960242","display_name":"N. Avinash","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115584","display_name":"Sacred Heart College","ror":"https://ror.org/02pttbd79","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210115584"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"N. Avinash","raw_affiliation_strings":["Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635601, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0002-9558-260X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635601, Tamil Nadu, India","institution_ids":["https://openalex.org/I4210115584"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5079740101"],"corresponding_institution_ids":["https://openalex.org/I4210115584"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13142782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"12","first_page":"2604","last_page":"2604"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9970999956130981,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9907000064849854,"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/mathematics","display_name":"Mathematics","score":0.7932027578353882},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6585489511489868},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5576422810554504},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5166459679603577},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.4696119427680969},{"id":"https://openalex.org/keywords/gamma-function","display_name":"Gamma function","score":0.4688352644443512},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4566579759120941},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.45577573776245117},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.44758784770965576},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.42158204317092896},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3654491603374481},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.27231037616729736},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26851922273635864}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7932027578353882},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6585489511489868},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5576422810554504},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5166459679603577},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4696119427680969},{"id":"https://openalex.org/C82240120","wikidata":"https://www.wikidata.org/wiki/Q190573","display_name":"Gamma function","level":2,"score":0.4688352644443512},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4566579759120941},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.45577573776245117},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.44758784770965576},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.42158204317092896},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3654491603374481},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27231037616729736},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26851922273635864},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14122604","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14122604","pdf_url":"https://www.mdpi.com/2073-8994/14/12/2604/pdf?version=1671421518","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5b3701e2cc6840a3a55bf6ec51c7b6e8","is_oa":true,"landing_page_url":"https://doaj.org/article/5b3701e2cc6840a3a55bf6ec51c7b6e8","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":"Symmetry, Vol 14, Iss 12, p 2604 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/12/2604/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14122604","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14122604","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14122604","pdf_url":"https://www.mdpi.com/2073-8994/14/12/2604/pdf?version=1671421518","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312047543.pdf","grobid_xml":"https://content.openalex.org/works/W4312047543.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W184750067","https://openalex.org/W271810198","https://openalex.org/W591568057","https://openalex.org/W1981973883","https://openalex.org/W2004016092","https://openalex.org/W2047862359","https://openalex.org/W2057782044","https://openalex.org/W2080750229","https://openalex.org/W2090887921","https://openalex.org/W2118017323","https://openalex.org/W2119573410","https://openalex.org/W2146767181","https://openalex.org/W2296779811","https://openalex.org/W2321807852","https://openalex.org/W2526179128","https://openalex.org/W2941596883","https://openalex.org/W2955370624","https://openalex.org/W3005999859","https://openalex.org/W3010570299","https://openalex.org/W3106547641","https://openalex.org/W4200162658","https://openalex.org/W4200419107","https://openalex.org/W4205678040","https://openalex.org/W4240644230","https://openalex.org/W4283582165","https://openalex.org/W6607536024","https://openalex.org/W6651557515"],"related_works":["https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W2253351617","https://openalex.org/W4246784705","https://openalex.org/W3121927021","https://openalex.org/W2046736294","https://openalex.org/W2557099984","https://openalex.org/W3110620765","https://openalex.org/W2911222139","https://openalex.org/W1995576794"],"abstract_inverted_index":{"In":[0,65,158],"this":[1,104,116],"paper,":[2],"we":[3,22,80,123,160,172,190],"develop":[4,68],"theorems":[5,26,36,179],"on":[6,38],"finite":[7],"and":[8,16,20,29,40,61,76,89,118,132,140,167,171,176,198],"infinite":[9,109],"summation":[10,110],"formulas":[11],"by":[12,119],"utilizing":[13],"the":[14,50,54,69,86,96,120,125,165,184,192,196],"q":[15,39,60,75,131],"(q,h)":[17,166,197],"anti-difference":[18,57,72,128],"operators,":[19,79,170],"also":[21],"extend":[23,161],"these":[24,162],"core":[25],"to":[27,52,67,106,111,154,164,194],"q(\u03b1)":[28,41,62,77,133],"(q,h)\u03b1":[30,168,199],"difference":[31,42,63,78,134,148,169,187,200],"operators.":[32,64],"Several":[33],"integer":[34,175],"order":[35,56,66,71,127,178],"based":[37],"operator":[43],"have":[44],"been":[45],"published,":[46],"which":[47,93],"gave":[48],"us":[49],"idea":[51],"derive":[53,124,173],"fractional":[55,70,126,177],"equations":[58,73,129],"for":[59,74,130,136,146,183,202],"construct":[81],"a":[82,112],"function":[83,105],"known":[84],"as":[85,95],"quantum":[87],"geometric":[88,91,99],"alpha-quantum":[90],"function,":[92,122],"behaves":[94],"class":[97],"of":[98],"series.":[100],"We":[101,150],"can":[102],"use":[103],"convert":[107],"an":[108],"limited":[113],"summation.":[114],"Using":[115],"concept":[117],"gamma":[121],"operators":[135,201],"polynomials,":[137],"polynomial":[138],"factorials,":[139],"logarithmic":[141],"functions":[142],"that":[143,180],"provide":[144,151],"solutions":[145,182],"symmetric":[147,186],"operator.":[149,188],"appropriate":[152],"examples":[153],"support":[155],"our":[156],"results.":[157],"addition,":[159],"concepts":[163],"several":[174],"give":[181],"mixed":[185],"Finally,":[189],"plot":[191],"diagrams":[193],"analyze":[195],"verification.":[203]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}