SOLVING HIGHER ORDER INTUITIONISTIC FUZZY DIFFERENTIAL EQUATIONS

SOLVING HIGHER ORDER INTUITIONISTIC FUZZY DIFFERENTIAL EQUATIONS

T. Aslaoui, B. B. Amma, S. Melliani, L. S. Chadli

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Abstract

In this paper, we provide the existence and uniqueness intuitionistic fuzzy solutions for the second-order intuitionistic fuzzy differential equations satisfying a lipschitz condition. We generalised these results for the nth-order intuitionistic fuzzy differential equations with initial value conditions by using the Banach fixed point theorem. Some examples are given to illustrate our main results.

Keywords

Intuitionistic fuzzy differential equations, fixed point theorems, intuitionistic fuzzy solutions, fixed point.