[PDF] Top 20 Convergence of Successive Approximations for Fuzzy Differential Equations in The Quotient Space of Fuzzy Numbers

... HE fuzzy differential equation is one of the important part of the fuzzy analysis ...of fuzzy valued mappings were initially studied by Puri and Ralescu ...the fuzzy differential ... See full document

... of fuzzy quantities into equivalence classes having the desired group properties under the addition operation ...of fuzzy numbers in the sense of Mareš is very ...of convergence under which ... See full document

... entiable fuzzy functions than what is found in the ...the fuzzy differential equations in the quotient space of fuzzy ...the convergence of successive ... See full document

... The metric d is a τ -distance on X. Many useful examples and propositions are stated in 9, 18–23 and references therein. The following fixed point theorems are proved in 18. Theorem 2.2 see 18. Let X be a complete metric ... See full document

... In this Section, we apply HAM to one example. Example 5.1 Kim and Sakthivel [11] numeri- cally solved the example below by using the im- proved predictor-corrector method in the setting of Hukuhara or Seikkala ... See full document

... Banach space X, the theory of neutral differential equations has many applications, for the reader, we refer to ...[1,3]. Differential equations with nonlocal conditions have been ... See full document

... a convergence, approximation, and peri- odic point of Nadler-type result with its ...The convergence, existence, periodic point, fixed point, and uniqueness of Banach-type result and its proof in the case of ... See full document

... of fuzzy numbers and fuzzy arith- Zadeh [36], Dubois et ...on fuzzy numbers and fuzzy arithmetic. Fuzzy systems are used to study a variety of problems ranging from ... See full document

... of differential or integral equations or integrodifferential ...of space and time by partial differential equations, in some situations, such a formulation may not accurately model the ... See full document

... of fuzzy differential equations (FDE) Kandel and Byatt [20] applied the concept of fuzzy differential equations (FDE) to analyze the fuzzy dynamic ...solving fuzzy ... See full document

... statistical convergence for sequences of real numbers was introduced by Fast [1] and Steinhaus [2] independently in the same year 1951 and since then sev- eral generalizations and applications of this ... See full document

... Fuzzy sets were introduced simultaneously by ...in fuzzy set theory are dispersed over a broad range providing utility of ...of fuzzy number mapping was first introduced by ...of fuzzy ... See full document

... called fuzzy set. Definition 2.2. Fuzzy number. A fuzzy number is a generalization of a regular real number and which does not refer to a single value but rather to a connected a set of possible ... See full document

...  (4) has associated evolution family of operators { ( , ) : 0 U t s ≤ ≤ ≤ s t b }. In the next definition, L(X) is a space of bounded linear operators from X into X endowed with the uniform convergence ... See full document

... A Fuzzy number is simply an ordinary numbers whose precise value is somewhat ...uncertain. Fuzzy- means near and not very away from , because otherwise it must be quite different from n that is what ... See full document

... triangular fuzzy number is de- fined as a fuzzy set in E, that is specified by an or- dered triple u = (a, b, c) ∈ R 3 with a ≤ b ≤ c such that u(r) = [u(r), u(r)] are the endpoints of r- level sets for all ... See full document

... In fuzzy set theory, this property is generalized. Therefore, in a fuzzy set, it is not necessary that x is a full member of the set or not a ...a fuzzy set, the characteristic function can take any ... See full document

... about Fuzzy Topological Graph Theory and the trivial fuzzy topologies of the set of fuzzy ...two fuzzy topological graphs are ...of Fuzzy Topological Graph are ... See full document

... Definition . [] Let Y be a nonempty closed convex subset of a Banach space X and Z a nonempty subset of Y . A retraction from Y to Z is a continuous mapping P : Y → Z such that P(x) = x for x ∈ Z. A retraction ... See full document

... real numbers can be embedded in the set of fuzzy numbers, statistical convergence in reals can be considered as a special case of those fuzzy ...of fuzzy numbers is ... See full document