{"id":"https://openalex.org/W4415518362","doi":"https://doi.org/10.1007/978-3-031-95381-1_10","title":"Stability Investigation of Nonlinear Fractional Difference Equations with Incommensurate Orders","display_name":"Stability Investigation of Nonlinear Fractional Difference Equations with Incommensurate Orders","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4415518362","doi":"https://doi.org/10.1007/978-3-031-95381-1_10"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-95381-1_10","doi":"https://doi.org/10.1007/978-3-031-95381-1_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-95381-1_10","pdf_url":null,"source":{"id":"https://openalex.org/S4210180650","display_name":"Springer proceedings in mathematics & statistics","issn_l":"2194-1009","issn":["2194-1009","2194-1017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Proceedings in Mathematics & Statistics","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4415522667","display_name":"Fractional Calculus and Applications"},"type":"conference-paper","is_traditional":true,"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/A5025265960","display_name":"Noureddine Djenina","orcid":"https://orcid.org/0000-0003-3492-1249","observed_orcids":["https://orcid.org/0000-0003-3492-1249","https://orcid.org/0009-0003-1086-9930"]},"institutions":[{"id":"https://openalex.org/I3132180716","display_name":"Larbi Ben M'hidi University of Oum El Bouaghi","ror":"https://ror.org/0034tbg85","country_code":"DZ","type":"education","lineage":["https://openalex.org/I3132180716"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Noureddine Djenina","raw_affiliation_strings":["Laboratory of Dynamical Systems and Control, University of Larbi Ben M\u2019hidi, Oum El-Bouaghi, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Dynamical Systems and Control, University of Larbi Ben M\u2019hidi, Oum El-Bouaghi, Algeria","institution_ids":["https://openalex.org/I3132180716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027644473","display_name":"Adel Ouannas","orcid":"https://orcid.org/0000-0001-9611-2047","observed_orcids":["https://orcid.org/0000-0001-9611-2047","https://orcid.org/0000-0002-0298-1194"]},"institutions":[{"id":"https://openalex.org/I3132180716","display_name":"Larbi Ben M'hidi University of Oum El Bouaghi","ror":"https://ror.org/0034tbg85","country_code":"DZ","type":"education","lineage":["https://openalex.org/I3132180716"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Adel Ouannas","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Larbi Ben M\u2019hidi, Oum El Bouaghi, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Larbi Ben M\u2019hidi, Oum El Bouaghi, Algeria","institution_ids":["https://openalex.org/I3132180716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080120676","display_name":"Shaher Momani","orcid":"https://orcid.org/0000-0002-6326-8456","observed_orcids":["https://orcid.org/0000-0002-6326-8456"]},"institutions":[{"id":"https://openalex.org/I114972647","display_name":"University of Jordan","ror":"https://ror.org/05k89ew48","country_code":"JO","type":"education","lineage":["https://openalex.org/I114972647"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Shaher Momani","raw_affiliation_strings":["Department of Mathematics, the University of Jordan, Amman, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, the University of Jordan, Amman, Jordan","institution_ids":["https://openalex.org/I114972647"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055199720","display_name":"Giuseppe Grassi","orcid":"https://orcid.org/0000-0002-8876-3760","observed_orcids":["https://orcid.org/0000-0002-8876-3760"]},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Grassi","raw_affiliation_strings":["Dipartimento Ingegneria Innovazione, Universita Del Salento, Lecce, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento Ingegneria Innovazione, Universita Del Salento, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025265960"],"corresponding_institution_ids":["https://openalex.org/I3132180716"],"apc_list":null,"apc_paid":null,"fwci":2.3457,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.79921001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"171","last_page":"182"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.8374000191688538,"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":0.8374000191688538,"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":0.08179999887943268,"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/T11081","display_name":"Advanced Control Systems Design","score":0.07050000131130219,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-fractional-difference-equations","display_name":"nonlinear fractional difference equations","score":0.8270000219345093},{"id":"https://openalex.org/keywords/incommensurate-order","display_name":"incommensurate order","score":0.9449999928474426},{"id":"https://openalex.org/keywords/stability-criteria","display_name":"stability criteria","score":0.7509999871253967},{"id":"https://openalex.org/keywords/lyapunov-direct-method","display_name":"Lyapunov direct method","score":0.9259999990463257}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7379999756813049},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6751999855041504},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6564000248908997},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.557200014591217},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47999998927116394},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4666999876499176},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.45320001244544983},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4253999888896942},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.35199999809265137},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.32899999618530273},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.30379998683929443},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.2678000032901764}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-95381-1_10","doi":"https://doi.org/10.1007/978-3-031-95381-1_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-95381-1_10","pdf_url":null,"source":{"id":"https://openalex.org/S4210180650","display_name":"Springer proceedings in mathematics & statistics","issn_l":"2194-1009","issn":["2194-1009","2194-1017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Proceedings in Mathematics & Statistics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1908664704","https://openalex.org/W1971847917","https://openalex.org/W1974514718","https://openalex.org/W1990990035","https://openalex.org/W1994115058","https://openalex.org/W2027497334","https://openalex.org/W2069295222","https://openalex.org/W2076638775","https://openalex.org/W2088303893","https://openalex.org/W2157347895","https://openalex.org/W2411043875","https://openalex.org/W2464700065","https://openalex.org/W2495165290","https://openalex.org/W2571497543","https://openalex.org/W2577305827","https://openalex.org/W2586746499","https://openalex.org/W2590196486","https://openalex.org/W2592145602","https://openalex.org/W2593436639","https://openalex.org/W2593621738","https://openalex.org/W2593799096","https://openalex.org/W2594218585","https://openalex.org/W2594500794","https://openalex.org/W2888237587","https://openalex.org/W2890198414","https://openalex.org/W2892591172","https://openalex.org/W2923223771","https://openalex.org/W2930398221","https://openalex.org/W2977209716","https://openalex.org/W3013342027","https://openalex.org/W3014639127","https://openalex.org/W3015780933","https://openalex.org/W3109752594","https://openalex.org/W3145775454","https://openalex.org/W3163559411","https://openalex.org/W3164841965","https://openalex.org/W3215389689","https://openalex.org/W4213052229","https://openalex.org/W4283516079","https://openalex.org/W4317743338","https://openalex.org/W4317810019","https://openalex.org/W4376870739","https://openalex.org/W4379793314","https://openalex.org/W4381329194","https://openalex.org/W4386351980","https://openalex.org/W4388430997","https://openalex.org/W4401444490","https://openalex.org/W4401947510","https://openalex.org/W4401947739"],"related_works":["https://openalex.org/W7204544675","https://openalex.org/W4401947510","https://openalex.org/W3183095410","https://openalex.org/W7204561080","https://openalex.org/W3092011670","https://openalex.org/W2567584285","https://openalex.org/W2513956580","https://openalex.org/W136062973","https://openalex.org/W7204598985","https://openalex.org/W4401444490"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2025-10-24T00:00:00"}