Numerical Solution of Second-Order Hybrid Fuzzy Differential Equations by Generalized Differentiability

Subject Areas : International Journal of Industrial Mathematics

نیره شهریاری ¹ , سعید عباسبندی ^{2 *}

1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran.

Received: 2020-11-02 Accepted : 2021-09-14 Published : 2021-10-01

Keywords: Fuzzy differential equations, gH-differentiability, Hybrid fuzzy differential equations, Fuzzy Taylor expansion, Generalized Hakuhara differentiability,

Abstract :

In this research paper, a numerical method is presented for solving second-order hybrid fuzzy differential equations by using fuzzy Taylor expansion under generalized Hukuhara differentiability and also with convergence theorem. Also, the method is illustrated by solving several numerical examples. The final results showed that the solution of the second-order hybrid fuzzy differential equations.

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