Fuzzy generalized H-differential and applications to fuzzy differential equations of second-order

Article type: Research Article

Authors: Allahviranloo, Tofigh | Hooshangian, Laleh

Affiliations: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Note: [] Corresponding author. Laleh Hooshangian, Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran. Tel./Fax: +98 2144865030, E-mail: [email protected]

Abstract: In this paper, a new way of obtaining second order Hakuhara derivative is introduced. The theorems to apply this way are approved. Then, the parametric form of fuzzy numbers is applied to solve two types of fuzzy H-differential equations of second order with constant multipliers and fuzzy initial values. Their solutions are classified and discussed hereinafter.

Keywords: Generalized H-differential, fuzzy second-order equation, fuzzy initial values

DOI: 10.3233/IFS-130874

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 4, pp. 1951-1967, 2014