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.
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We are grateful to the Editor-in-Chief, the Associate Editor and the anonymous reviewers for their careful reading of the paper and their valuable comments and suggestions.
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Fatullayev, A.G., Gasilov, N.A. & Emrah Amrahov, Ş. Numerical solution of linear inhomogeneous fuzzy delay differential equations. Fuzzy Optim Decis Making 18, 315–326 (2019). https://doi.org/10.1007/s10700-018-9296-1
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DOI: https://doi.org/10.1007/s10700-018-9296-1