Numerical Bounded Solutions of Fuzzy Volterra Integral Equations

Abstract

Study bounded solutions for fuzzy Volterra integral equations initial value problems. Two sufficient conditions for bounded solutions of fuzzy Volterra integral equations are given and proved. Some examples associated with bounded solutions are given.

The local existence and uniqueness of solutions for fuzzy functional Volterra integral equations

“…Gong and Shao derived the global existence, uniqueness and the contin uous dependence of a solution on a fuzzy differential equation under the dissipative-type conditions [6]. The existence and uniqueness theorem of a solution to the fuzzy Volterra integral equation was discussed [7]- [8]. D. N. Georgiou studied fuzzy Volterra integral equation under which the solutions of a fuzzy integral equation are bounded [9 ].…”

Fuzzy Integral Equations and Strong Fuzzy Henstock Integrals

“…Kaleva [1] studied the Cauchy problem of fuzzy differential equation and characterized those subsets of fuzzy sets in which the Peano theorem is valid. Park et al in [11][12][13][14] have considered the existence of solution of fuzzy integral equation in Banach space. In 2002, Xue and Fu [15] established solutions to fuzzy differential equations with right-hand side functions satisfying Caratheodory conditions on a class of Lipschitz fuzzy sets.…”