Numerical Solution of Second-Order Hybrid Fuzzy Differential Equations by Generalized Differentiability
محورهای موضوعی : مجله بین المللی ریاضیات صنعتیN. Shahryari 1 , S. Abbasbandy 2
1 - Department of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran.
کلید واژه: Fuzzy differential equations, gH-differentiability, Hybrid fuzzy differential equations, Fuzzy Taylor expansion, Generalized Hakuhara differentiability,
چکیده مقاله :
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.
در این مقاله، یک روش عددی برای حل معادلات دیفرانسیل فازی هیبریدی مرتبه دوم با استفاده از بسط تیلور فازی تحت دیفرانسیل پذیری تعمیم یافته هاکوهارا و همچنین قضیه همگرایی ارائه شده است. همچنین کاربرد روش با حل چندین مثال عددی نشان داده شده است. نتایج نهایی نشان دهنده جواب معادلات دیفرانسیل فازی هیبریدی مرتبه دوم است.
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