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Then the averaged L1 method is proved to be dissipative with an absorbing set and contractive with an algebraic decay rate. Finally, the numerical experiments further confirm the theoretical results.&lt;\/p&gt;&lt;\/abstract&gt;<\/jats:p>","DOI":"10.3934\/nhm.2023032","type":"journal-article","created":{"date-parts":[[2023,3,7]],"date-time":"2023-03-07T11:19:43Z","timestamp":1678187983000},"page":"753-774","source":"Crossref","is-referenced-by-count":0,"title":["Dissipativity and contractivity of the second-order averaged L1 method for fractional Volterra functional differential equations"],"prefix":"10.3934","volume":"18","author":[{"given":"Yin","family":"Yang","sequence":"first","affiliation":[]},{"given":"Aiguo","family":"Xiao","sequence":"additional","affiliation":[]}],"member":"2321","reference":[{"key":"key-10.3934\/nhm.2023032-1","unstructured":"S. Abbas, Existence of solutions to fractional order ordinary and delay differential equations and applications, <i>Electron. J. 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