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

Nadeem Salamat, Muhammad Mustahsan and Malik M. Saad Missen
Additional contact information
Nadeem Salamat: Mathematics Department, Khwaja Fareed University of Engineering and Information Technology, Rahimyar khan-64200, Pakistan
Muhammad Mustahsan: Mathematics Department, Khwaja Fareed University of Engineering and Information Technology, Rahimyar khan-64200, Pakistan
Malik M. Saad Missen: Department of computer Science, Islamia University Bahawalpur, Bahawalpur 63100, Pakistan

Mathematics, 2019, vol. 7, issue 3, 1-19

Abstract: 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.

Keywords: fuzzy differential transformation; min, max operators; fuzzy Taylor series; fuzzy initial value problems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/3/231/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/3/231/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:3:p:231-:d:210223

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().