Solving fuzzy fractional differential equations using fuzzy Sumudu transform

Volume 10, Issue 5, pp 2620--2632 http://dx.doi.org/10.22436/jnsa.010.05.28

Publication Date: May 25, 2017 Submission Date: June 28, 2016

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Authors

Norazrizal Aswad Abdul Rahman - Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, Malaysia. Muhammad Zaini Ahmad - Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, Malaysia.

Abstract

In this paper, we apply fuzzy Sumudu transform (FST) for solving linear fuzzy fractional differential equations (FFDEs) involving Caputo fuzzy fractional derivative. It is followed by suggesting a new result on the property of FST for Caputo fuzzy fractional derivative. We then construct a detailed procedure on finding the solutions of linear FFDEs and finally, we demonstrate a numerical example.

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Keywords

• Caputo fuzzy fractional derivative
• fuzzy Sumudu transform
• fuzzy fractional differential equation.

MSC

•  26A33
•  44A05
•  34A08
•  34A07

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