[PDF] Top 20 Bounded solutions for fuzzy integral equations

... for fuzzy mappings, an important tool for showing existence and uniqueness of solutions to fuzzy differential and integral equations, have recently been proved by various authors, see ... See full document

... of fuzzy derivative was first introduced by Chang and Zadeh ...of fuzzy derivative as an extension of the Hukuhara derivative and the fuzzy integral, which was the same as that proposed by ... See full document

... Theorem 1.1. ([6]) Let H be a real Hilbert space. Let F : D(F ) ⊂ H → H, K : D(K) ⊂ H → H be bounded monotone mappings with R(F ) ⊆ D(K) where D(F ) and D(K) are closed convex subsets of H satisfying certain ... See full document

... of fuzzy fractional differential equations under fuzzy Kolwankar- Gangal local fractional derivatives (for short, fuzzy KG-LFD) using fuzzy Riemann-Liouville ...of fuzzy KG-LFD ... See full document

... + it follows from yt is a continuous and bounded function on R A4 and AS that kt,sysds is bounded and uniformly continuous on R Thus, from 1.3 and AI we see that the function yt is bound[r] ... See full document

... Accretive mappings were introduced independently in  by Browder [] and Kato []. Interest in such mappings stems mainly from their firm connection with the existence theory for nonlinear equations of evolution ... See full document

... nonlinear fuzzy Hammerstein–Volterra in- tegral equations with constant ...the solutions that take values in the set of right-sided fuzzy numbers for a fuzzy Volterra integral ... See full document

... Proof. For part (a), we take a contour that encloses the spectrum of G but does not enclose zero. For part (b), sup- pose, λ(x) and µ(x), respectively, represent the largest and the smallest eigenvalues of G(x). The ... See full document

... [a,b] and define the operator T over X by Tx(t) = f (t) + a t g(t,s,x(s))ds. By using the conditions of the theorem, it is easy to check that TX ⊂ X and T is compact. From Leray- Schauder principle, to prove the result ... See full document

... of fuzzy differential equation, characterized those subsets of fuzzy sets in which the peano theorem is ...of fuzzy integral equation in Banach space and Subrahmaniam and Sudarsanam in [9] have ... See full document

... of fuzzy differential and integral equations, existence and uniqueness theorems for the solutions of fuzzy initial value problems, drew upon the interest of many researchers of the ... See full document

... contain fuzzy integral equa- tions and these equations are very useful for solv- ing many problems in several applied fields like mathematical physics and engineering, therefor various approaches for ... See full document

... integro-differential equations are very use- e fuzzy integral equations and the fuzzy ful for solving many problems in several applied fields like mathematical economics, electrical en- ... See full document

... a bounded open subset of K (in the relative topology) we denote by and ∂ the closure and the boundary relative to ...open bounded subset of X, we write D K = D ∩ K, an open subset of ... See full document

... differential equations with nondensely defined linear operators have received much attention (see, ...tremal integral solutions of the problem ...lower solutions combined with a fixed point ... See full document

... Fredholm integral equation of the first kind for the source density distribution on the ...Fredholm integral equation of the second kind for the source density distribution on the ... See full document

... Hence, U(µ;1) is a bounded sublattice of L. Definition 3.5. Let : → I be a function from a set L to a set P and ν be a fuzzy subset of P. The preimage under f of ν, denoted by JD [K] , is the fuzzy ... See full document

... The paper is organized as follows. In Section 2, some basic concepts about interval arithmetic are stated. In Section 3, the nonlinear interval Volterra integral equations are introduced, then the new ... See full document

... Linear programming is concerned with the opti- mization (minimization or maximization) of a lin- ear function while satisfying a set of linear equal- ity and/ or inequality constrains or restrictions. In the real life ... See full document

... exact solutions. In this paper, we may note that the numerical solutions coincide with the exact solutions even a few Numerical Solutions of Volterra Integral Equations of Second ... See full document