4.7 Article

Neutral fuzzy fractional functional differential equations

Journal

FUZZY SETS AND SYSTEMS
Volume 419, Issue -, Pages 1-34

Publisher

ELSEVIER
DOI: 10.1016/j.fss.2020.10.003

Keywords

Fractional fuzzy calculus; Fractional fuzzy differential equations; Neutral fuzzy differential equations

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This paper explores a class of fuzzy fractional functional differential equations of neutral type. It obtains the existence, uniqueness, and iterative formula in the case of linear equations, and discusses the continuous dependence of solutions on initial data, parameters, and functions. Several examples are provided to illustrate the applications of the results.
In this paper, a class of fuzzy fractional functional differential equations of neutral type is investigated. The existence, uniqueness and iterative formula in the case of linear equations are obtained. Meanwhile, the continuous dependence of solutions on initial data, parameters and functions involved in right hand side of equation is also discussed. Several examples are given to illustrate the applications of our results. (c) 2020 Elsevier B.V. All rights reserved.

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