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Laplace transform formula on fuzzy nth-order derivative and its application in fuzzy ordinary differential equations

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Abstract

In this paper, the Laplace transform formula on the fuzzy nth-order derivative by using the strongly generalized differentiability concept is investigated. Also, the related theorems and properties are proved in detail and, it is used in an analytic method for fuzzy two order differential equation. The method is illustrated by solving some examples.

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Correspondence to M. Barkhordari Ahmadi.

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Communicated by T. Allahviranloo.

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Ahmadi, M.B., Kiani, N.A. & Mikaeilvand, N. Laplace transform formula on fuzzy nth-order derivative and its application in fuzzy ordinary differential equations. Soft Comput 18, 2461–2469 (2014). https://doi.org/10.1007/s00500-014-1224-x

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