Iterative numerical method for nonlinear fuzzy Volterra integral equations

Article type: Research Article

Authors: Bica, Alexandru Mihai^* | Popescu, Constantin

Affiliations: Department of Mathematics and Informatics, University of Oradea, Oradea, Romania

Correspondence: [*] Corresponding author. Alexandru Mihai Bica, Department of Mathematics and Informatics, University of Oradea, Universitatii Street no.1, 410087 Oradea, Romania. Fax: +40 0259 408 461; E-mail: abica@uoradea.ro.

Abstract: In this paper we develop an iterative numerical method for solving nonlinear fuzzy Volterra integral equations. The convergence of the method is proved and the obtained theoretical results are tested on some numerical examples.

Keywords: Fuzzy numerical analysis, fuzzy-number-valued functions, fuzzy Hammerstein-Volterra nonlinear integral equations, iterative numerical method

DOI: 10.3233/IFS-152032

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 1639-1648, 2017