{"id":"https://openalex.org/W2605329866","doi":"https://doi.org/10.3233/fi-2017-1497","title":"On General Solution for Fractional Differential Equations with Not Instantaneous Impulses","display_name":"On General Solution for Fractional Differential Equations with Not Instantaneous Impulses","publication_year":2017,"publication_date":"2017-03-11","ids":{"openalex":"https://openalex.org/W2605329866","doi":"https://doi.org/10.3233/fi-2017-1497","mag":"2605329866"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2017-1497","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2017-1497","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5037763233","display_name":"Xianmin Zhang","orcid":"https://orcid.org/0000-0001-6161-4952"},"institutions":[{"id":"https://openalex.org/I134626604","display_name":"Jiujiang University","ror":"https://ror.org/0066vpg85","country_code":"CN","type":"education","lineage":["https://openalex.org/I134626604"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianmin Zhang","raw_affiliation_strings":["School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China. z6x2m@126.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","institution_ids":["https://openalex.org/I134626604"]},{"raw_affiliation_string":"School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China. z6x2m@126.com","institution_ids":["https://openalex.org/I134626604"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037763233","display_name":"Xianmin Zhang","orcid":"https://orcid.org/0000-0001-6161-4952"},"institutions":[{"id":"https://openalex.org/I134626604","display_name":"Jiujiang University","ror":"https://ror.org/0066vpg85","country_code":"CN","type":"education","lineage":["https://openalex.org/I134626604"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xianmin Zhang","raw_affiliation_strings":["School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China. z6x2m@126.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","institution_ids":["https://openalex.org/I134626604"]},{"raw_affiliation_string":"School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China. z6x2m@126.com","institution_ids":["https://openalex.org/I134626604"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xianzhen Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I134626604","display_name":"Jiujiang University","ror":"https://ror.org/0066vpg85","country_code":"CN","type":"education","lineage":["https://openalex.org/I134626604"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianzhen Zhang","raw_affiliation_strings":["School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China. z6x2m@126.com","School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","Journal:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","institution_ids":["https://openalex.org/I134626604"]},{"raw_affiliation_string":"School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China. z6x2m@126.com","institution_ids":["https://openalex.org/I134626604"]},{"raw_affiliation_string":"School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","institution_ids":["https://openalex.org/I134626604"]},{"raw_affiliation_string":"Journal:","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xianzhen Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I134626604","display_name":"Jiujiang University","ror":"https://ror.org/0066vpg85","country_code":"CN","type":"education","lineage":["https://openalex.org/I134626604"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xianzhen Zhang","raw_affiliation_strings":["School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China. z6x2m@126.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Chemical and Environmental Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","institution_ids":["https://openalex.org/I134626604"]},{"raw_affiliation_string":"School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China. z6x2m@126.com","institution_ids":["https://openalex.org/I134626604"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102858814","display_name":"Hui Cao","orcid":"https://orcid.org/0000-0001-7540-0330"},"institutions":[{"id":"https://openalex.org/I134626604","display_name":"Jiujiang University","ror":"https://ror.org/0066vpg85","country_code":"CN","type":"education","lineage":["https://openalex.org/I134626604"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Cao","raw_affiliation_strings":["School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China","institution_ids":["https://openalex.org/I134626604"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5037763233"],"corresponding_institution_ids":["https://openalex.org/I134626604"],"apc_list":null,"apc_paid":null,"fwci":0.7502,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66534997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"151","issue":"1-4","first_page":"355","last_page":"369"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994000196456909,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9958999752998352,"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/mathematics","display_name":"Mathematics","score":0.6425325870513916},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5476606488227844},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5274113416671753},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.4534970223903656},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3922513723373413},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16654735803604126},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.060010939836502075}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6425325870513916},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5476606488227844},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5274113416671753},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.4534970223903656},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3922513723373413},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16654735803604126},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.060010939836502075}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2017-1497","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2017-1497","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"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":25,"referenced_works":["https://openalex.org/W1476766493","https://openalex.org/W1584611818","https://openalex.org/W1595505728","https://openalex.org/W1967392178","https://openalex.org/W1969852694","https://openalex.org/W1970621379","https://openalex.org/W1975670568","https://openalex.org/W1980535647","https://openalex.org/W1992271309","https://openalex.org/W1996157631","https://openalex.org/W2003798477","https://openalex.org/W2013471107","https://openalex.org/W2015192593","https://openalex.org/W2017630341","https://openalex.org/W2018262789","https://openalex.org/W2047694721","https://openalex.org/W2069953772","https://openalex.org/W2087566904","https://openalex.org/W2133321152","https://openalex.org/W2170136290","https://openalex.org/W2186212908","https://openalex.org/W2286669035","https://openalex.org/W2320979869","https://openalex.org/W2417951427","https://openalex.org/W2916119295"],"related_works":["https://openalex.org/W2910133962","https://openalex.org/W2401850100","https://openalex.org/W3117324600","https://openalex.org/W2141704600","https://openalex.org/W2355857801","https://openalex.org/W2051199209","https://openalex.org/W2750452256","https://openalex.org/W1969118029","https://openalex.org/W4319738004","https://openalex.org/W1966530962"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"mainly":[4],"study":[5],"a":[6],"kind":[7],"of":[8,21],"fractional":[9],"differential":[10],"equations":[11,20],"with":[12],"not":[13],"instantaneous":[14],"impulses,":[15],"and":[16],"find":[17],"the":[18,22,35,45],"equivalent":[19],"impulsive":[23,36],"system.":[24,37],"The":[25],"obtained":[26,46],"result":[27],"discovers":[28],"that":[29],"there":[30],"exist":[31],"general":[32],"solution":[33],"for":[34],"Next,":[38],"an":[39],"example":[40],"is":[41],"given":[42],"to":[43],"illustrate":[44],"result.":[47]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-15T06:05:50.897203","created_date":"2025-10-10T00:00:00"}