Numerical solution of linear inhomogeneous fuzzy delay differential equations

A. G. Fatullayev (), Nizami A. Gasilov () and Şahin Emrah Amrahov ()
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A. G. Fatullayev: Baskent University
Nizami A. Gasilov: Baskent University
Şahin Emrah Amrahov: Ankara University

Fuzzy Optimization and Decision Making, 2019, vol. 18, issue 3, No 3, 315-326

Abstract: Abstract We investigate inhomogeneous fuzzy delay differential equation (FDDE) in which initial function and source function are fuzzy. We assume these functions be in a special form, which we call triangular fuzzy function. We define solution as a fuzzy bunch of real functions such that each real function satisfies the equation with certain membership degree. We develop an algorithm to find the solution, and we provide the existence and uniqueness results for the considered FDDE. We also present an example to show the applicability of the proposed algorithm.

Keywords: Fuzzy differential equation; Fuzzy delay differential equation; Fuzzy set (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10700-018-9296-1

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