{"id":"https://openalex.org/W4308448218","doi":"https://doi.org/10.1142/s0219691322500527","title":"Existence of mild solutions for perturbed fractional neutral differential equations through deformable derivatives in Banach spaces","display_name":"Existence of mild solutions for perturbed fractional neutral differential equations through deformable derivatives in Banach spaces","publication_year":2022,"publication_date":"2022-11-04","ids":{"openalex":"https://openalex.org/W4308448218","doi":"https://doi.org/10.1142/s0219691322500527"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691322500527","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691322500527","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089092076","display_name":"R. Sreedharan","orcid":null},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"R. Sreedharan","raw_affiliation_strings":["Department of Mathematics, School of Arts, Sciences, Humanities and Education, SASTRA Deemed University, Thanjavur, Tamilnadu 613401, India"],"raw_orcid":"https://orcid.org/0000-0001-9070-6274","affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts, Sciences, Humanities and Education, SASTRA Deemed University, Thanjavur, Tamilnadu 613401, India","institution_ids":["https://openalex.org/I932239252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102931104","display_name":"S. Raja Balachandar","orcid":null},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Raja Balachandar","raw_affiliation_strings":["Department of Mathematics, School of Arts, Sciences, Humanities and Education, SASTRA Deemed University, Thanjavur, Tamilnadu 613401, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts, Sciences, Humanities and Education, SASTRA Deemed University, Thanjavur, Tamilnadu 613401, India","institution_ids":["https://openalex.org/I932239252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068883308","display_name":"S. P. Raja","orcid":null},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. P. Raja","raw_affiliation_strings":["School of Computer Science and Engineering, Vellore Institute of Technology, Vellore, Tamilnadu 632014, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Vellore Institute of Technology, Vellore, Tamilnadu 632014, India","institution_ids":["https://openalex.org/I876193797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089092076"],"corresponding_institution_ids":["https://openalex.org/I932239252"],"apc_list":null,"apc_paid":null,"fwci":0.3558,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52003261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"21","issue":"03","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":0.9998000264167786,"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":0.9998000264167786,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7611947059631348},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6795333027839661},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5873498916625977},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5497975945472717},{"id":"https://openalex.org/keywords/c0-semigroup","display_name":"C0-semigroup","score":0.5292598009109497},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4824448227882385},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46558040380477905},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4462359547615051},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.44374966621398926},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3580610454082489},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10527408123016357},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.04621550440788269}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7611947059631348},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6795333027839661},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5873498916625977},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5497975945472717},{"id":"https://openalex.org/C19496378","wikidata":"https://www.wikidata.org/wiki/Q846542","display_name":"C0-semigroup","level":3,"score":0.5292598009109497},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4824448227882385},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46558040380477905},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4462359547615051},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.44374966621398926},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3580610454082489},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10527408123016357},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.04621550440788269},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691322500527","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691322500527","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1527296550","https://openalex.org/W1584611818","https://openalex.org/W1850511188","https://openalex.org/W2052485203","https://openalex.org/W2063067239","https://openalex.org/W2075580195","https://openalex.org/W2095335256","https://openalex.org/W2586807479","https://openalex.org/W2787959293","https://openalex.org/W2947906605","https://openalex.org/W2955372169","https://openalex.org/W3035304464","https://openalex.org/W3157840204","https://openalex.org/W3201116717","https://openalex.org/W3209303731","https://openalex.org/W4200492170","https://openalex.org/W4210469468","https://openalex.org/W4296308999"],"related_works":["https://openalex.org/W2089892488","https://openalex.org/W2416906960","https://openalex.org/W2050580331","https://openalex.org/W3049300385","https://openalex.org/W571740008","https://openalex.org/W131150922","https://openalex.org/W128172956","https://openalex.org/W2051037399","https://openalex.org/W2086792569","https://openalex.org/W2017935818"],"abstract_inverted_index":{"The":[0],"deformable":[1],"derivative":[2],"[[Formula:":[3],"see":[4],"text]]":[5],"is":[6],"used":[7],"in":[8,29],"this":[9],"work":[10],"to":[11,52],"give":[12],"the":[13,17,45,54,57],"necessary":[14],"restrictions":[15],"for":[16,22],"existence":[18,34],"of":[19,56],"mild":[20],"solutions":[21],"perturbed":[23],"fractional":[24],"neutral":[25],"differential":[26],"equations":[27],"[PFNDE]":[28],"Banach":[30],"spaces.":[31],"Several":[32],"novel":[33],"results":[35],"are":[36,50],"made":[37],"using":[38],"fixed":[39],"point":[40],"and":[41],"semigroup":[42],"techniques.":[43],"In":[44],"end,":[46],"two":[47],"numerical":[48],"examples":[49],"given":[51],"illustrate":[53],"application":[55],"theoretical":[58],"concepts":[59],"discussed.":[60]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
