An Analytical Method for Solving Second-order Fuzzy Differential Equation

Authors

  • E. Qahremani Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
  • T. Allahviranloo Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
  • Saeid Abbasbandy Imam Khomeini International University, Iran
  • N. Ahmady Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.

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.

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.

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Published

2021-04-20

Issue

Vol. 16

Section

Vol. 16, No. 4, (2022)

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