Hyers-Ulam stability of Hermite fuzzy differential equations and fuzzy Mellin transform

Abstract

In this paper, we introduce a fuzzy Mellin transform method for solving Hermite fuzzy differential equations. The fuzzy Mellin transform reduce the problem of solving a Hermite fuzzy differential equation to a problem of solving a difference equation, whose inverse transform gives the solution of the fuzzy differential equation at hands. Under some conditions, we also give some Hyers-Ulam stability result of Hermite fuzzy differential equations.

Keywords

Mellin transform method Hermite fuzzy differential equation H-difference

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