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Open AccessArticle

Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations

Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, Malaysia
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Academic Editor: Carlo Cafaro
Entropy 2015, 17(7), 4582-4601; https://doi.org/10.3390/e17074582
Received: 20 April 2015 / Revised: 1 June 2015 / Accepted: 3 June 2015 / Published: 1 July 2015
(This article belongs to the Special Issue Dynamical Equations and Causal Structures from Observations)
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. View Full-Text
Keywords: fuzzy number; fuzzy Sumudu transform; generalized differentiability; fuzzy differential equation; Sumudu transform; integral transform fuzzy number; fuzzy Sumudu transform; generalized differentiability; fuzzy differential equation; Sumudu transform; integral transform
MDPI and ACS Style

Rahman, N.A.A.; Ahmad, M.Z. Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations. Entropy 2015, 17, 4582-4601.

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