Solutions to Fredholm Integral Inclusions via Generalized Fuzzy Contractions

Approximate Analytical Solutions of Fuzzy Linear Fredholm Integral Equations by HAM

Discontinuous fuzzy Fredholm integral equations and strong fuzzy Henstock integrals

By using the properties of strong fuzzy Henstock integrals, the existence theorems of solution for a kind of the discontinuous fuzzy Fredholm integral equations are established. The results are generalizations of earlier investigation for fuzzy continuous systems.

Multidimensional generalized fuzzy integral

In this paper, we study multidimensional integrals. We introduce a generalized fuzzy integral and we present a Fubini-like theorem for this generalized fuzzy integral. As this research was partly motivated by the definition of citation indices, we also describe how such multidimensional integrals can be used to define such indices. © 2008 Elsevier B.V. All rights reserved.

Existence of Solutions of General Nonlinear Fuzzy Volterra-fredholm Integral Equations

Fuzzy differential and integral equations have been studied by many authors [1, 2, 5, 6, 7, 14]. Kaleva [5] discussed the properties of differentiable fuzzy set-valued mappings by means of the concept of H-differentiability introduced by Puri and Ralescu [9]. Seikkala [11] defined the fuzzy derivative which is a generalization of the Hukuhara derivative [9] and the fuzzy integral which is the s...

Generalized Solutions of Functional Differential Inclusions

1 Center for Integrative Genetics (CIGENE), Norwegian University of Life Sciences, 1432 Aas, Norway 2Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, 1432 Aas, Norway 3Department of Algebra and Geometry, Tambov State University, 392000 Tambov, Russia 4Department of Higher Mathematics, Faculty of Electronics and Computer Sciences, Moscow State Forest Uni...