{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,10]],"date-time":"2026-10-10T06:45:09Z","timestamp":1791614709523,"version":"4.3.4"},"reference-count":57,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2015,7,1]],"date-time":"2015-07-01T00:00:00Z","timestamp":1435708800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003545","name":"Ministry of Science, Technology and Innovation","doi-asserted-by":"publisher","award":["FRGS: 9003-00417"],"award-info":[{"award-number":["FRGS: 9003-00417"]}],"id":[{"id":"10.13039\/501100003545","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, we study the classical Sumudu transform in fuzzy environment, referred to as the fuzzy Sumudu transform (FST). We also propose some results on the properties of the FST, such as linearity, preserving, fuzzy derivative, shifting and convolution theorem. In order to show the capability of the FST, we provide a detailed procedure to solve fuzzy differential equations (FDEs). A numerical example is provided to illustrate the usage of the FST.<\/jats:p>","DOI":"10.3390\/e17074582","type":"journal-article","created":{"date-parts":[[2015,7,1]],"date-time":"2015-07-01T10:00:34Z","timestamp":1435744834000},"page":"4582-4601","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations"],"prefix":"10.3390","volume":"17","author":[{"given":"Norazrizal","family":"Rahman","sequence":"first","affiliation":[{"name":"Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, Malaysia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Muhammad","family":"Ahmad","sequence":"additional","affiliation":[{"name":"Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, Malaysia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2015,7,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1364\/OL.25.000099","article-title":"Image processing with the radial Hilbert transform: Theory and experiments","volume":"25","author":"Davis","year":"2000","journal-title":"Opt. 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