{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T00:51:19Z","timestamp":1744159879359,"version":"3.37.3"},"reference-count":31,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,9,17]],"date-time":"2020-09-17T00:00:00Z","timestamp":1600300800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003995","name":"Natural Science Foundation of Anhui Province","doi-asserted-by":"publisher","award":["2008085QA19","110131013","11471015"],"award-info":[{"award-number":["2008085QA19","110131013","11471015"]}],"id":[{"id":"10.13039\/501100003995","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2008085QA19","110131013","11471015"],"award-info":[{"award-number":["2008085QA19","110131013","11471015"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2008085QA19","110131013","11471015"],"award-info":[{"award-number":["2008085QA19","110131013","11471015"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,9,17]]},"abstract":"<jats:p>This paper investigates a fractional-order linear system in the frame of Atangana\u2013Baleanu fractional derivative. First, we prove that some properties for the Caputo fractional derivative also hold in the sense of AB fractional derivative. Subsequently, several sufficient criteria to guarantee the finite-time stability and the finite-time boundedness for the system are derived. Finally, an example is presented to illustrate the validity of our main results.<\/jats:p>","DOI":"10.1155\/2020\/1727358","type":"journal-article","created":{"date-parts":[[2020,9,17]],"date-time":"2020-09-17T23:30:33Z","timestamp":1600385433000},"page":"1-8","source":"Crossref","is-referenced-by-count":8,"title":["Finite-Time Stability of Atangana\u2013Baleanu Fractional-Order Linear Systems"],"prefix":"10.1155","volume":"2020","author":[{"given":"Jiale","family":"Sheng","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Anhui University, Hefei 230601, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5446-1860","authenticated-orcid":true,"given":"Wei","family":"Jiang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Anhui University, Hefei 230601, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7669-3614","authenticated-orcid":true,"given":"Denghao","family":"Pang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Anhui University, Hefei 230601, China"},{"name":"School of Internet, Anhui University, Hefei 230601, China"}]}],"member":"311","reference":[{"year":"2006","key":"1"},{"year":"2010","key":"2"},{"year":"2016","key":"3"},{"year":"1999","key":"4"},{"journal-title":"Mathematical Methods in the Applied Sciences","first-page":"1","year":"2019","key":"5"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-017-0371-0"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/6875874"},{"key":"8","first-page":"73","volume":"2","year":"2015","journal-title":"Progress in Fractional Differentiation and Applications"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.2298\/tsci160111018a"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.22436\/jnsa.010.03.20"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-018-1543-9"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2017.12.003"},{"volume-title":"On the atangana-baleanu derivative and its relation to the fading memory concept: the diffusion equation formulation","year":"2019","key":"13"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1051\/mmnp\/2018067"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.10.006"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.07.027"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.05.014"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.03.001"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2016.08.072"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1080\/09205071.2016.1225521"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2016.02.012"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2016.03.020"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/s0005-1098(01)00087-5"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2015.09.080"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2017.11.063"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2014.07.060"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2008.09.011"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1186\/1687-1847-2014-259"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.05.061"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2013-01969-9"},{"key":"31","doi-asserted-by":"crossref","first-page":"2951","DOI":"10.1016\/j.cnsns.2014.01.022","volume":"19","year":"2014","journal-title":"Communications in Nonlinear Science and Numerical Simulation"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1727358.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1727358.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1727358.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,17]],"date-time":"2020-09-17T23:30:36Z","timestamp":1600385436000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/1727358\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,17]]},"references-count":31,"alternative-id":["1727358","1727358"],"URL":"https:\/\/doi.org\/10.1155\/2020\/1727358","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,9,17]]}}}