{"id":"https://openalex.org/W4385697004","doi":"https://doi.org/10.3390/axioms12080771","title":"Handling a Commensurate, Incommensurate, and Singular Fractional-Order Linear Time-Invariant System","display_name":"Handling a Commensurate, Incommensurate, and Singular Fractional-Order Linear Time-Invariant System","publication_year":2023,"publication_date":"2023-08-09","ids":{"openalex":"https://openalex.org/W4385697004","doi":"https://doi.org/10.3390/axioms12080771"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12080771","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12080771","pdf_url":"https://www.mdpi.com/2075-1680/12/8/771/pdf?version=1691567964","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/8/771/pdf?version=1691567964","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045468192","display_name":"Iqbal M. Batiha","orcid":"https://orcid.org/0000-0002-8443-8848"},"institutions":[{"id":"https://openalex.org/I145019703","display_name":"Al-Zaytoonah University of Jordan","ror":"https://ror.org/04a5b0p13","country_code":"JO","type":"education","lineage":["https://openalex.org/I145019703"]},{"id":"https://openalex.org/I182000528","display_name":"Ajman University","ror":"https://ror.org/01j1rma10","country_code":"AE","type":"education","lineage":["https://openalex.org/I182000528"]}],"countries":["AE","JO"],"is_corresponding":false,"raw_author_name":"Iqbal M. Batiha","raw_affiliation_strings":["Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan","Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan","institution_ids":["https://openalex.org/I145019703"]},{"raw_affiliation_string":"Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates","institution_ids":["https://openalex.org/I182000528"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092618068","display_name":"Omar Talafha","orcid":null},"institutions":[{"id":"https://openalex.org/I97864281","display_name":"Irbid National University","ror":"https://ror.org/00xfxvy87","country_code":"JO","type":"education","lineage":["https://openalex.org/I97864281"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Omar Talafha","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan","institution_ids":["https://openalex.org/I97864281"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022481208","display_name":"Osama Y. Ababneh","orcid":"https://orcid.org/0000-0002-7614-4727"},"institutions":[{"id":"https://openalex.org/I153687341","display_name":"Zarqa University","ror":"https://ror.org/01wf1es90","country_code":"JO","type":"education","lineage":["https://openalex.org/I153687341"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Osama Y. Ababneh","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan","institution_ids":["https://openalex.org/I153687341"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007140786","display_name":"Shameseddin Alshorm","orcid":"https://orcid.org/0000-0003-3313-506X"},"institutions":[{"id":"https://openalex.org/I145019703","display_name":"Al-Zaytoonah University of Jordan","ror":"https://ror.org/04a5b0p13","country_code":"JO","type":"education","lineage":["https://openalex.org/I145019703"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Shameseddin Alshorm","raw_affiliation_strings":["Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan","institution_ids":["https://openalex.org/I145019703"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080120676","display_name":"Shaher Momani","orcid":"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"]},{"id":"https://openalex.org/I182000528","display_name":"Ajman University","ror":"https://ror.org/01j1rma10","country_code":"AE","type":"education","lineage":["https://openalex.org/I182000528"]}],"countries":["AE","JO"],"is_corresponding":false,"raw_author_name":"Shaher Momani","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan","Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan","institution_ids":["https://openalex.org/I114972647"]},{"raw_affiliation_string":"Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates","institution_ids":["https://openalex.org/I182000528"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5007140786"],"corresponding_institution_ids":["https://openalex.org/I145019703"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.8814,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70092898,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"12","issue":"8","first_page":"771","last_page":"771"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9990000128746033,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9937999844551086,"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/lti-system-theory","display_name":"LTI system theory","score":0.77613765001297},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5515737533569336},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5277455449104309},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5215299129486084},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.49390631914138794},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4799945056438446},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4730781018733978},{"id":"https://openalex.org/keywords/linear-control-systems","display_name":"Linear control systems","score":0.4218830168247223},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4178909957408905},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3603096902370453},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35021018981933594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33326753973960876},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2626698613166809},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.08703333139419556},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08616575598716736},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06624460220336914}],"concepts":[{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.77613765001297},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5515737533569336},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5277455449104309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5215299129486084},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.49390631914138794},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4799945056438446},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4730781018733978},{"id":"https://openalex.org/C2987686001","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Linear control systems","level":3,"score":0.4218830168247223},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4178909957408905},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3603096902370453},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35021018981933594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33326753973960876},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2626698613166809},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.08703333139419556},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08616575598716736},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06624460220336914},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12080771","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12080771","pdf_url":"https://www.mdpi.com/2075-1680/12/8/771/pdf?version=1691567964","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cb81fd0af7a2465e9fcbeecfd5e38c4a","is_oa":true,"landing_page_url":"https://doaj.org/article/cb81fd0af7a2465e9fcbeecfd5e38c4a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 8, p 771 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/8/771/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12080771","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 12; Issue 8; Pages: 771","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12080771","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12080771","pdf_url":"https://www.mdpi.com/2075-1680/12/8/771/pdf?version=1691567964","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385697004.pdf"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W128702175","https://openalex.org/W2020857385","https://openalex.org/W2046497860","https://openalex.org/W2073057066","https://openalex.org/W2094095773","https://openalex.org/W2125585272","https://openalex.org/W2136254520","https://openalex.org/W2145799074","https://openalex.org/W2471528821","https://openalex.org/W2558714378","https://openalex.org/W3184035880","https://openalex.org/W4226398577","https://openalex.org/W4297236549","https://openalex.org/W4297516453","https://openalex.org/W4311717527","https://openalex.org/W4323767790","https://openalex.org/W4327741037","https://openalex.org/W4361271161","https://openalex.org/W6605244241","https://openalex.org/W6678597688"],"related_works":["https://openalex.org/W2047558453","https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W1999673819","https://openalex.org/W958199350","https://openalex.org/W2144143333","https://openalex.org/W2380695172","https://openalex.org/W1573796078","https://openalex.org/W4386631510","https://openalex.org/W2027136373"],"abstract_inverted_index":{"From":[0],"the":[1,4,7,46,58,63,66,77,81,84],"perspective":[2],"of":[3,6,15,40,45,57,65,80,83,95],"importance":[5],"fractional-order":[8],"linear":[9],"time-invariant":[10],"(FoLTI)":[11],"system":[12,61],"in":[13,43],"plenty":[14],"applied":[16],"science":[17],"fields,":[18],"such":[19],"as":[20],"control":[21],"theory,":[22],"signal":[23],"processing,":[24],"and":[25,37],"communications,":[26],"this":[27],"work":[28],"aims":[29],"to":[30,75],"provide":[31],"certain":[32],"generic":[33],"solutions":[34],"for":[35],"commensurate":[36],"incommensurate":[38],"cases":[39],"these":[41],"systems":[42,88],"light":[44],"Adomian":[47],"decomposition":[48],"method.":[49],"Accordingly,":[50],"we":[51],"also":[52],"generate":[53,92],"another":[54],"general":[55],"solution":[56],"singular":[59,86],"FoLTI":[60,87],"with":[62],"use":[64],"same":[67],"methodology.":[68],"Several":[69],"more":[70],"numerical":[71],"examples":[72],"are":[73],"given":[74],"illustrate":[76],"core":[78],"points":[79],"perturbations":[82],"considered":[85],"that":[89],"can":[90],"ultimately":[91],"a":[93],"variety":[94],"corresponding":[96],"solutions.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2023-08-10T00:00:00"}