Existence and uniqueness of solutions for Fuzzy quadratic integral equation of fractional order

Article type: Research Article

Authors: Paripour, Mahmoud^{a; *} | Komak Yari, Mohammad^b

Affiliations: [a] Department of Mathematics, Hamedan University of Technology, Hamedan, Iran | [b] Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran

Correspondence: [*] Corresponding author. Mahmoud Paripour, Department of Mathematics, Hamedan University of Technology, Hamedan 65169-13733, Iran. Tel.: +98 81 38411538; Fax: +98 81 38380520; E-mails: paripour@hut.ac.ir, m_paripour@yahoo.com.

Abstract: The fractional quadratic integral equations have wide applications in various fields of science and engineering. We present an existence theorem for at least one continuous solution for fuzzy fractional quadratic integral equations (FFQIE). In this paper, we introduce fuzzy quadratic integral equation of fractional order and existence and uniqueness of the solutions for this class of fractional equations.

Keywords: Fuzzy number, fuzzy integral equations, quadratic fuzzy integral equations, Banach fixed point theorem

DOI: 10.3233/JIFS-16316

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2327-2338, 2017