{"id":"https://openalex.org/W4392371292","doi":"https://doi.org/10.1007/s12190-024-02017-3","title":"Piecewise conformable fractional impulsive differential system with delay: existence, uniqueness and Ulam stability","display_name":"Piecewise conformable fractional impulsive differential system with delay: existence, uniqueness and Ulam stability","publication_year":2024,"publication_date":"2024-03-04","ids":{"openalex":"https://openalex.org/W4392371292","doi":"https://doi.org/10.1007/s12190-024-02017-3"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02017-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02017-3","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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/A5100671785","display_name":"Luchao Zhang","orcid":"https://orcid.org/0000-0003-1693-5727"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Luchao Zhang","raw_affiliation_strings":["College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People\u2019s Republic of China","College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-1693-5727","affiliations":[{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People\u2019s Republic of China","institution_ids":["https://openalex.org/I148128674"]},{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People's Republic of China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101579409","display_name":"Xiping Liu","orcid":"https://orcid.org/0000-0001-7299-7979"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiping Liu","raw_affiliation_strings":["College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People\u2019s Republic of China","College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People\u2019s Republic of China","institution_ids":["https://openalex.org/I148128674"]},{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People's Republic of China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102136980","display_name":"Mei Jia","orcid":null},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mei Jia","raw_affiliation_strings":["College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People\u2019s Republic of China","College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People\u2019s Republic of China","institution_ids":["https://openalex.org/I148128674"]},{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People's Republic of China","institution_ids":["https://openalex.org/I148128674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101836525","display_name":"Zhensheng Yu","orcid":"https://orcid.org/0000-0003-3394-9602"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhensheng Yu","raw_affiliation_strings":["College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People\u2019s Republic of China","College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People\u2019s Republic of China","institution_ids":["https://openalex.org/I148128674"]},{"raw_affiliation_string":"College of Science, University of Shanghai for Science and Technology, 516 Jun Gong Rd., Shanghai, 200093, People's Republic of China","institution_ids":["https://openalex.org/I148128674"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100671785"],"corresponding_institution_ids":["https://openalex.org/I148128674"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5253,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78524662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"70","issue":"2","first_page":"1543","last_page":"1570"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":1.0,"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":0.9998000264167786,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9939000010490417,"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":0.8562579154968262},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8270188570022583},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7648190855979919},{"id":"https://openalex.org/keywords/conformable-matrix","display_name":"Conformable matrix","score":0.7086788415908813},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6395056843757629},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6309583187103271},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.582951545715332},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49037790298461914},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4785795211791992},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.47525355219841003},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.4695017337799072},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4481930136680603},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4432600736618042},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4290158450603485},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.419333279132843},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3841332793235779},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06917479634284973}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8562579154968262},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8270188570022583},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7648190855979919},{"id":"https://openalex.org/C86072612","wikidata":"https://www.wikidata.org/wiki/Q5160239","display_name":"Conformable matrix","level":2,"score":0.7086788415908813},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6395056843757629},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6309583187103271},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.582951545715332},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49037790298461914},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4785795211791992},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.47525355219841003},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.4695017337799072},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4481930136680603},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4432600736618042},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4290158450603485},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.419333279132843},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3841332793235779},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06917479634284973},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02017-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02017-3","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G867128175","display_name":null,"funder_award_id":"12371308","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W77672474","https://openalex.org/W1520128606","https://openalex.org/W1530054495","https://openalex.org/W1584611818","https://openalex.org/W1605182429","https://openalex.org/W1987702649","https://openalex.org/W2003874621","https://openalex.org/W2053223544","https://openalex.org/W2063067239","https://openalex.org/W2080931732","https://openalex.org/W2131963302","https://openalex.org/W2143865111","https://openalex.org/W2466800521","https://openalex.org/W2561471331","https://openalex.org/W2583169932","https://openalex.org/W2766189687","https://openalex.org/W2769834859","https://openalex.org/W2787959293","https://openalex.org/W2790597122","https://openalex.org/W2884996684","https://openalex.org/W2901102710","https://openalex.org/W2908202478","https://openalex.org/W2943979749","https://openalex.org/W3013663879","https://openalex.org/W3029177300","https://openalex.org/W3081213632","https://openalex.org/W3092247084","https://openalex.org/W3156666726","https://openalex.org/W3164347579","https://openalex.org/W3165025304","https://openalex.org/W3197781357","https://openalex.org/W3211224233","https://openalex.org/W4205621020","https://openalex.org/W4226323961","https://openalex.org/W4247953052","https://openalex.org/W4304080365","https://openalex.org/W4306954599","https://openalex.org/W4313409257","https://openalex.org/W4321499717","https://openalex.org/W4362710060","https://openalex.org/W4381661439","https://openalex.org/W4382499561","https://openalex.org/W4386552911","https://openalex.org/W4387702552"],"related_works":["https://openalex.org/W4407082414","https://openalex.org/W2937491694","https://openalex.org/W2558746723","https://openalex.org/W4308131477","https://openalex.org/W3037709338","https://openalex.org/W4385473703","https://openalex.org/W4401018364","https://openalex.org/W4285119458","https://openalex.org/W2947200988","https://openalex.org/W3192193367"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-01-22T23:29:09.771500","created_date":"2025-10-10T00:00:00"}
