{"id":"https://openalex.org/W2293991102","doi":"https://doi.org/10.1080/00207160.2015.1067688","title":"On the existence and uniqueness of solutions to a new class of fractional boundary value problems","display_name":"On the existence and uniqueness of solutions to a new class of fractional boundary value problems","publication_year":2015,"publication_date":"2015-06-29","ids":{"openalex":"https://openalex.org/W2293991102","doi":"https://doi.org/10.1080/00207160.2015.1067688","mag":"2293991102"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1067688","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1067688","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5010029625","display_name":"A. Neamaty","orcid":"https://orcid.org/0000-0002-0870-6011"},"institutions":[{"id":"https://openalex.org/I4871159","display_name":"University of Mazandaran","ror":"https://ror.org/05fp9g671","country_code":"IR","type":"education","lineage":["https://openalex.org/I4871159"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Abdolali Neamaty","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics Sciences, University of Mazandaran, Babolsar, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics Sciences, University of Mazandaran, Babolsar, Iran","institution_ids":["https://openalex.org/I4871159"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023896448","display_name":"Milad Yadollahzadeh","orcid":"https://orcid.org/0000-0003-2561-209X"},"institutions":[{"id":"https://openalex.org/I4871159","display_name":"University of Mazandaran","ror":"https://ror.org/05fp9g671","country_code":"IR","type":"education","lineage":["https://openalex.org/I4871159"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Milad Yadollahzadeh","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics Sciences, University of Mazandaran, Babolsar, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics Sciences, University of Mazandaran, Babolsar, Iran","institution_ids":["https://openalex.org/I4871159"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061071812","display_name":"Rahmat Darzi","orcid":"https://orcid.org/0000-0001-8132-504X"},"institutions":[{"id":"https://openalex.org/I110525433","display_name":"Islamic Azad University, Tehran","ror":"https://ror.org/01kzn7k21","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Rahmat Darzi","raw_affiliation_strings":["Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran","institution_ids":["https://openalex.org/I110525433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054336803","display_name":"Bahram Agheli","orcid":"https://orcid.org/0000-0003-2084-4158"},"institutions":[{"id":"https://openalex.org/I4871159","display_name":"University of Mazandaran","ror":"https://ror.org/05fp9g671","country_code":"IR","type":"education","lineage":["https://openalex.org/I4871159"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Bahram Agheli","raw_affiliation_strings":["Department of Mathematics, Faculty of Mathematics Sciences, University of Mazandaran, Babolsar, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Mathematics Sciences, University of Mazandaran, Babolsar, Iran","institution_ids":["https://openalex.org/I4871159"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010029625"],"corresponding_institution_ids":["https://openalex.org/I4871159"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12166606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"93","issue":"9","first_page":"1611","last_page":"1627"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"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":0.9998000264167786,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9979000091552734,"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":0.9119969606399536},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8485239744186401},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.7376235723495483},{"id":"https://openalex.org/keywords/schauder-fixed-point-theorem","display_name":"Schauder fixed point theorem","score":0.6032034158706665},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6031028032302856},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5928597450256348},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5712037682533264},{"id":"https://openalex.org/keywords/contraction-mapping","display_name":"Contraction mapping","score":0.5374178886413574},{"id":"https://openalex.org/keywords/picard\u2013lindel\u00f6f-theorem","display_name":"Picard\u2013Lindel\u00f6f theorem","score":0.5165568590164185},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5048683285713196},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49405887722969055},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3568626642227173},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35411542654037476}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9119969606399536},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8485239744186401},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.7376235723495483},{"id":"https://openalex.org/C28642324","wikidata":"https://www.wikidata.org/wiki/Q656176","display_name":"Schauder fixed point theorem","level":4,"score":0.6032034158706665},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6031028032302856},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5928597450256348},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5712037682533264},{"id":"https://openalex.org/C55524764","wikidata":"https://www.wikidata.org/wiki/Q515173","display_name":"Contraction mapping","level":3,"score":0.5374178886413574},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.5165568590164185},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5048683285713196},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49405887722969055},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3568626642227173},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35411542654037476},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2015.1067688","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1067688","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1489200767","https://openalex.org/W1530054495","https://openalex.org/W1553338987","https://openalex.org/W1605250361","https://openalex.org/W1968477354","https://openalex.org/W1972793885","https://openalex.org/W1974336609","https://openalex.org/W1975729780","https://openalex.org/W1981982952","https://openalex.org/W2000097162","https://openalex.org/W2018251211","https://openalex.org/W2019455741","https://openalex.org/W2045072355","https://openalex.org/W2051849157","https://openalex.org/W2060091665","https://openalex.org/W2095835509","https://openalex.org/W2119388949","https://openalex.org/W2359715207","https://openalex.org/W2478495703","https://openalex.org/W2619878922","https://openalex.org/W2787959293","https://openalex.org/W4244854774"],"related_works":["https://openalex.org/W4251786591","https://openalex.org/W2107950159","https://openalex.org/W2391238336","https://openalex.org/W2977556127","https://openalex.org/W2909535566","https://openalex.org/W2121351298","https://openalex.org/W2104305035","https://openalex.org/W3160581193","https://openalex.org/W2064920193","https://openalex.org/W4284888934"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"verify":[4],"the":[5,27,32,43,47,67],"existence":[6,55],"and":[7,51,56],"uniqueness":[8,57],"of":[9,14,23,34,40],"solution":[10],"for":[11,19],"a":[12,38],"class":[13],"nonlinear":[15],"boundary":[16],"value":[17],"problem":[18],"fractional":[20,29],"differential":[21],"equation":[22],"order":[24],"3<\u03b1\u22644,":[25],"with":[26],"standard":[28],"derivative":[30],"in":[31],"sense":[33],"Riemann\u2013Liouville.":[35],"By":[36],"using":[37],"variety":[39],"tools":[41],"including":[42],"Schauder":[44],"fixed-point":[45,49],"theorem,":[46],"Krasnose\u013askii":[48],"theorem":[50],"contraction":[52],"mapping":[53],"principle,":[54],"results":[58],"are":[59,63],"obtained.":[60],"Some":[61],"examples":[62],"given":[64],"to":[65],"expression":[66],"results.":[68]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
