Switching Point Solution of Second-Order Fuzzy Differential Equations Using Differential Transformation Method

Autor:	Nadeem Salamat, Muhammad Mustahsan, Malik M. Saad Missen
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	fuzzy differential transformation min max operators fuzzy Taylor series fuzzy initial value problems Mathematics QA1-939
Zdroj:	Mathematics, Vol 7, Iss 3, p 231 (2019)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math7030231
Popis:	The first-order fuzzy differential equation has two possible solutions depending on the definition of differentiability. The definition of differentiability changes as the product of the function and its first derivative changes its sign. This switching of the derivative’s definition is handled with the application of min, max operators. In this paper, a numerical technique for solving fuzzy initial value problems is extended to solving higher-order fuzzy differential equations. Fuzzy Taylor series is used to develop the fuzzy differential transformation method for solving this problem. This leads to a single solution for higher-order differential equations.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f43bc5e431054ba1adf505667d339f16 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.