4.4 Article

Generalization of Seikkala derivative and differential transform method for fuzzy Volterra integro-differential equations

Journal

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 34, Issue 4, Pages 2795-2806

Publisher

IOS PRESS
DOI: 10.3233/JIFS-17958

Keywords

Fuzzy derivative; generalized Seikkala derivative; fuzzy Volterra intego-differential equation; fuzzy differential transform method

Funding

  1. Department of Science and Technology, Govt. of India [2014/148]

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In this study, we present a generalized concept of Seikkala differentiability for fuzzy functions. It has been shown that this concept and the lateral H-differentiability lead us to the same results. Fuzzy differential transform method (FDTM) is applied to solve fuzzy Volterra integro-differential equations. In order to show the effectiveness of this method some illustrative examples are given.

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