Bounded solutions for fuzzy integral equations

Abstract

We study conditions under which the solutions of a fuzzy integral equation are bounded.

Bounded solutions for fuzzy integral equations of fractional order

“…Inspired by the work of [9,10], in the present paper we aim to establish some sufficient conditions for the boundedness of every solution of fractional order fuzzy integral equations as well as certain fuzzy differential equations. The paper is organized as follows.…”

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

“…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 ].…”

“…Definition 2.4 [9]. A mapping x : T --+ En is bounded, where T is an interval of the real line, if there exists an element 16]).…”

Numerical Bounded Solutions of Fuzzy Volterra Integral Equations

“…Using the properties of a differential and integral calculus for fuzzy set valued mappings and completeness of metric space of fuzzy numbers, the global existence, uniqueness and the continuous dependence of a solution on a fuzzy differential equation are derived under the dissipative-type conditions [11]. D. N. Georgiou studied fuzzy Volterra integral equation under which the solutions of a fuzzy integral equation are bounded [10]. In [14], sufficient conditions for the boundness of every solution of first-order fuzzy differential equations are given.…”