An Analytical Method for Solving Second-order Fuzzy Differential Equation

E. Qahremani, T. Allahviranloo, Saeid Abbasbandy, N. Ahmady

Abstract


This paper is devoted to obtaining an analytical solution for the second-order fuzzy differential equations by considering the type of generalized Hukuhara differentiability of the solution.  The effectiveness and efficiency of the approaches are illustrated by solving several practical examples such as the fuzzy Cauchy-Euler equation, the fuzzy Legendre equation, and the fuzzy Chebyshev differential equation.

Keywords


The generalized Hukuhara differentiability, The second-order fuzzy differential equation, The fuzzy Cauchy-Euler equation, The fuzzy Legendre equation, The fuzzy Chebyshev differential equation.

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