{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:47:38Z","timestamp":1777704458243,"version":"3.51.4"},"reference-count":42,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2018,8,9]],"date-time":"2018-08-09T00:00:00Z","timestamp":1533772800000},"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":[[2018,10,27]]},"abstract":"<jats:p>\n                    The main result obtained in this paper is constructed the fractional Chebyshev operational matrix based on generalized shifted fractional-order Chebyshev functions of the first and second kind, is applied this operational matrix to the problem for numerically solving fuzzy fractional differential equations of order 0\u00a0&lt;\u00a0\n                    <jats:italic>\u03bd<\/jats:italic>\n                    \u00a0&lt;\u00a01 with fuzzy initial condition. We shown through numerical result that a new tau method is effective to the good approximate solution of Kelvin-Voiget equation, the model of viscosity behavior for non-Newtonian fluid and fuzzy fractional differential equation with variable coefficient. The numerical accuracy are compared with the results obtained by generalized fractional-order Legendre functions, Chebyshev polynomials and Jacobi polynomials.\n                  <\/jats:p>","DOI":"10.3233\/jifs-18732","type":"journal-article","created":{"date-parts":[[2018,8,10]],"date-time":"2018-08-10T10:48:48Z","timestamp":1533898128000},"page":"4821-4835","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Application of a spectral method to Fractional Differential Equations under uncertainty"],"prefix":"10.1177","volume":"35","author":[{"given":"Kinam","family":"Sin","sequence":"first","affiliation":[{"name":"Harbin Institute of Technology, Harbin, PR China"},{"name":"Faculty of Mathematics, Kim Il Sung University, Pyongyang, D.P.R. of Korea"}]},{"given":"Minghao","family":"Chen","sequence":"additional","affiliation":[{"name":"Harbin Institute of Technology, Harbin, PR 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