A note on fuzzy integral equations

Bounded solutions for fuzzy integral equations of fractional order

“…Kaleva [2], Puri and Ralescu [3] introduced the notion of fuzzy derivative as an extension of the Hukuhara derivative and the fuzzy integral, which was the same as that proposed by Dubois and Prade [4]. There has been a significant development in the study of fuzzy differential and integral equations (see, for example, [5][6][7][8], and the references therein). Under suitable conditions, it was proved in [9] that the boundedness of solutions of the following fuzzy integral equation: where f : R + × E n → E n is continuous.…”

A Note on Fuzzy Volterra-Fredholm Integro-Integral Equations

“…al. [13]- [17] and Song [18]- [21] studied existence and uniqueness theorem of the solution of other type of fuzzy differential equations [FDE] and fuzzy integral equations [FIE].…”

“…The methods of [16], [17], [21] is basing on Picaerd successive iteration or comparison theorems， [20] used embedding theorem of E n , so it can use some subtle method such as maximum and minimum method. Seikala [22] utilized special structure of E 1 , deal with FDE (I) by transferring FDE to infinite system of ODE.…”

“…In [16], [17], [20] Volterra integral equation were also discussed. In [16], [17] it is studied by using comparison theorems and Picard iterated approximation method, in [20] it is studied by Darbo fixed point theorem.…”

“…In [16], [17] it is studied by using comparison theorems and Picard iterated approximation method, in [20] it is studied by Darbo fixed point theorem. Moreover [16] researched indeed to the fuzzy functional integral equation.…”