A study of approximated solutions of fuzzy differential equations using fuzzy sumudu transform.

Autor: Mechee, Mohammed S., Al-Mousawi, Ali N.
Předmět:
Zdroj: AIP Conference Proceedings; 2023, Vol. 2414 Issue 1, p1-10, 10p
Abstrakt: In this paper, we have studied the classical Sumudu transform, which it named as fuzzy Sumudu transform (FST). FST has been used for solving ordinary differential equations (ODEs) and fuzzy differential equations (FDEs. The solutions of different orders linear FDEs are studied using FST. The solutions of ODES and FDEs are evaluated by utilizing FST approach. Significant approach is studied in order to explain the fundamental properties of FST. The proposed method is validated with some examples of ODEs and FDEs. However, the advantage and the efficiency of the proposed method have been shown clearly using six of examples of implementations The analytical solutions which are more reliable and effective because of the approach suggested are well agreed upon. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index