ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION

ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION

Djurdjica Takaci    Arpad Takaci    Aleksandar Takaci    

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Abstract

In this paper the exact and the approximate solutions of fuzzy fractional differential equation, in the sense of Caputo Hukuhara differentiability, with a fuzzy condition are constructed by using the fuzzy Laplace transform. The obtained solutions are expressed in the form of the fuzzy Mittag-Leffler function. The presented procedure is visualized and the graphs of the obtained approximate solutions are drawn by using the GeoGebra package.

Keywords

Fractional, Fuzzy calculus, Laplace transform.