{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:45:23Z","timestamp":1777704323284,"version":"3.51.4"},"reference-count":25,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2018,8,14]],"date-time":"2018-08-14T00:00:00Z","timestamp":1534204800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2018,10]]},"abstract":"<jats:p>In this paper, we study fractional partial differential equations (FPDEs) under Caputo gH-differentiability with uncertainty in type of fuzziness. Using Banach fixed point theorem, we show that the equilibrium point of the problem is stable. The stability is understood in the sense of Lyapunov stability. Moreover, by constructing a basic space of integral solutions, we prove global existence of fuzzy decay solutions of the problem. Some examples are also given to illustrate our main results.<\/jats:p>","DOI":"10.3233\/jifs-18675","type":"journal-article","created":{"date-parts":[[2018,8,21]],"date-time":"2018-08-21T15:55:19Z","timestamp":1534866919000},"page":"3797-3806","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["On the stability and global attractivity of solutions of fractional partial differential equations with uncertainty"],"prefix":"10.1177","volume":"35","author":[{"given":"Nguyen Thi Kim","family":"Son","sequence":"first","affiliation":[{"name":"Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton\u00a0Duc\u00a0Thang\u00a0University, Ho Chi Minh City, Vietnam"},{"name":"Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam"}]},{"given":"Ha Thi Thanh","family":"Tam","sequence":"additional","affiliation":[{"name":"Department of Basic Sciences, University of Transport Technology, Hanoi, Vietnam"}]}],"member":"179","published-online":{"date-parts":[[2018,8,14]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.11.029"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2015.03.011"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-130831"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.11.009"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.11.030"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2011.02.048"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-016-0326-8"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.07.017"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2013.12.009"},{"key":"e_1_3_1_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/91.873581"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/91.811243"},{"key":"e_1_3_1_13_2","first-page":"2000","author":"Diamond P.","unstructured":"DiamondP., KloedenP. 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