Solving Fuzzy Volterra Integral Equations via Fuzzy Sumudu Transform

Authors

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

Abstract

Fuzzy integral equations (FIEs) topic is an important branch in fuzzy mathematics. However, the methods proposed for handling FIEs are still very limited and often involve complex calculations. This paper introduced fuzzy Sumudu transform (FST) for solving FIEs, specifically fuzzy Volterra integral equations (FVIEs). For this purpose, a step‐by‐step procedure will be constructed for solving FVIEs. In order to illustrate the practicability of the method, two numerical examples will be given.

Keywords:

fuzzy integral equations, Sumudu transform, Volterra integral equations

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Published

2017-12-31

How to Cite

Norazrizal Aswad Abdul Rahman, & Muhammad Zaini Ahmad. (2017). Solving Fuzzy Volterra Integral Equations via Fuzzy Sumudu Transform. Applied Mathematics and Computational Intelligence (AMCI), 6, 19–28. Retrieved from https://ejournal.unimap.edu.my/index.php/amci/article/view/31

Issue

Vol. 6 (2017): December (2017)

Section

Articles