{"id":"https://openalex.org/W4400582349","doi":"https://doi.org/10.3390/computation12070144","title":"Fractional-Order Degn\u2013Harrison Reaction\u2013Diffusion Model: Finite-Time Dynamics of Stability and Synchronization","display_name":"Fractional-Order Degn\u2013Harrison Reaction\u2013Diffusion Model: Finite-Time Dynamics of Stability and Synchronization","publication_year":2024,"publication_date":"2024-07-12","ids":{"openalex":"https://openalex.org/W4400582349","doi":"https://doi.org/10.3390/computation12070144"},"language":"en","primary_location":{"id":"doi:10.3390/computation12070144","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12070144","pdf_url":"https://www.mdpi.com/2079-3197/12/7/144/pdf?version=1720776647","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/12/7/144/pdf?version=1720776647","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078727870","display_name":"Ma\u2019mon Abu Hammad","orcid":"https://orcid.org/0000-0003-1099-3600"},"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":false,"raw_author_name":"Ma\u2019mon Abu Hammad","raw_affiliation_strings":["Department of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, Jordan","institution_ids":["https://openalex.org/I145019703"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5095764577","display_name":"Issam Bendib","orcid":"https://orcid.org/0009-0006-4517-4399"},"institutions":[{"id":"https://openalex.org/I125485651","display_name":"University Fr\u00e8res Mentouri Constantine 1","ror":"https://ror.org/017wv6808","country_code":"DZ","type":"education","lineage":["https://openalex.org/I125485651"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Issam Bendib","raw_affiliation_strings":["Applied Mathematics & Modeling Laboratory, Department of Mathematics, Faculty of Exact Sciences, University of Brothers Mentouri, Constantine 25000, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mathematics & Modeling Laboratory, Department of Mathematics, Faculty of Exact Sciences, University of Brothers Mentouri, Constantine 25000, Algeria","institution_ids":["https://openalex.org/I125485651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001474712","display_name":"Waseem Ghazi Alshanti","orcid":"https://orcid.org/0000-0002-6403-3448"},"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":false,"raw_author_name":"Waseem Ghazi Alshanti","raw_affiliation_strings":["Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan","institution_ids":["https://openalex.org/I145019703"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102960382","display_name":"Ahmad Alshanty","orcid":null},"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":false,"raw_author_name":"Ahmad Alshanty","raw_affiliation_strings":["Cyber Security Department, Al Zaytoonah University of Jordan, Amman 11733, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cyber Security Department, Al Zaytoonah University of Jordan, Amman 11733, Jordan","institution_ids":["https://openalex.org/I145019703"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027644473","display_name":"Adel Ouannas","orcid":"https://orcid.org/0000-0001-9611-2047"},"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 Oum EL-Bouaghi, Oum El Bouaghi 04000, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Oum EL-Bouaghi, Oum El Bouaghi 04000, Algeria","institution_ids":["https://openalex.org/I3132180716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024009803","display_name":"Amel Hioual","orcid":"https://orcid.org/0000-0001-6944-1689"},"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":"Amel Hioual","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Oum EL-Bouaghi, Oum El Bouaghi 04000, Algeria"],"raw_orcid":"https://orcid.org/0000-0001-6944-1689","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Oum EL-Bouaghi, Oum El Bouaghi 04000, Algeria","institution_ids":["https://openalex.org/I3132180716"]}]},{"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, The University of Jordan, Amman 11942, Jordan","Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, United Arab Emirates"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Jordan, Amman 11942, Jordan","institution_ids":["https://openalex.org/I114972647"]},{"raw_affiliation_string":"Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, United Arab Emirates","institution_ids":["https://openalex.org/I182000528"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5024009803"],"corresponding_institution_ids":["https://openalex.org/I3132180716"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":5.7187,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.9643791,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"12","issue":"7","first_page":"144","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7453011870384216},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.7194377183914185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6697836518287659},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.582946240901947},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.5432627201080322},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4514349102973938},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.45100465416908264},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.41574805974960327},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.26963913440704346},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2541481554508209},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11270913481712341}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7453011870384216},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7194377183914185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6697836518287659},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.582946240901947},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5432627201080322},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4514349102973938},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.45100465416908264},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.41574805974960327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26963913440704346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2541481554508209},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11270913481712341},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation12070144","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12070144","pdf_url":"https://www.mdpi.com/2079-3197/12/7/144/pdf?version=1720776647","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e55395ae3e434608a0e5087e15fb36d1","is_oa":true,"landing_page_url":"https://doaj.org/article/e55395ae3e434608a0e5087e15fb36d1","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":"Computation, Vol 12, Iss 7, p 144 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation12070144","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation12070144","pdf_url":"https://www.mdpi.com/2079-3197/12/7/144/pdf?version=1720776647","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4400582349.pdf"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W2011377734","https://openalex.org/W2057459988","https://openalex.org/W2082741499","https://openalex.org/W2085757381","https://openalex.org/W2089573228","https://openalex.org/W2092861539","https://openalex.org/W2115176036","https://openalex.org/W2167829186","https://openalex.org/W2208321724","https://openalex.org/W2593450333","https://openalex.org/W2915398395","https://openalex.org/W2945029848","https://openalex.org/W3006196082","https://openalex.org/W3014639127","https://openalex.org/W3024763774","https://openalex.org/W3080492959","https://openalex.org/W3092470496","https://openalex.org/W3123337370","https://openalex.org/W3165676921","https://openalex.org/W4210425277","https://openalex.org/W4317743338","https://openalex.org/W4366974848","https://openalex.org/W4384934702","https://openalex.org/W4385368219","https://openalex.org/W4386074059","https://openalex.org/W4388830739","https://openalex.org/W4391483330","https://openalex.org/W4394844578"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2949964783","https://openalex.org/W2768610039","https://openalex.org/W3121250382","https://openalex.org/W4285390085","https://openalex.org/W31688704","https://openalex.org/W2801357573","https://openalex.org/W2974000959","https://openalex.org/W2034214809"],"abstract_inverted_index":{"This":[0,96],"study":[1],"aims":[2],"to":[3,62,69,139,143],"address":[4],"the":[5,26,51,74,87,120,144,152],"topic":[6],"of":[7,14,28,47,76,89,104,124,146],"finite-time":[8,34,71,105],"synchronization":[9,90],"within":[10,91],"a":[11,29,44,77,92],"specific":[12,32],"subset":[13],"fractional-order":[15,147],"Degn\u2013Harrison":[16],"reaction\u2013diffusion":[17,148],"systems.":[18,117],"To":[19,118],"achieve":[20],"this":[21,41,58,134],"goal,":[22],"we":[23,60,80,137],"begin":[24],"with":[25],"introduction":[27],"novel":[30],"lemma":[31,42],"for":[33,53,112,154],"stability":[35],"analysis.":[36],"Diverging":[37],"from":[38],"existing":[39],"criteria,":[40],"represents":[43],"significant":[45],"extension":[46],"prior":[48],"findings,":[49],"laying":[50],"groundwork":[52],"subsequent":[54],"investigations.":[55],"Building":[56],"upon":[57],"foundation,":[59],"proceed":[61],"develop":[63],"efficient":[64],"dependent":[65],"linear":[66],"controllers":[67],"designed":[68],"orchestrate":[70],"synchronization.":[72],"Leveraging":[73],"power":[75],"Lyapunov":[78],"function,":[79],"derive":[81],"new,":[82],"robust":[83],"conditions":[84],"that":[85],"ensure":[86],"attainment":[88],"predefined":[93],"time":[94],"frame.":[95],"innovative":[97],"approach":[98],"not":[99],"only":[100],"enhances":[101],"our":[102,125],"understanding":[103],"synchronization,":[106],"but":[107],"also":[108],"offers":[109],"practical":[110,155],"solutions":[111],"its":[113],"realization":[114],"in":[115,157],"complex":[116],"validate":[119],"efficacy":[121],"and":[122],"applicability":[123],"proposed":[126],"methodology,":[127],"extensive":[128],"numerical":[129],"simulations":[130],"are":[131],"conducted.":[132],"Through":[133],"comprehensive":[135],"analysis,":[136],"aim":[138],"contribute":[140],"valuable":[141],"insights":[142],"field":[145],"systems":[149],"while":[150],"paving":[151],"way":[153],"implementations":[156],"real-world":[158],"applications.":[159]},"counts_by_year":[{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2024-07-13T00:00:00"}