This paper focuses on the fuzzy Volterra integro-differential equation of nth order of the second-kind with nonlinear fuzzy kernel and initial values. The derived integral equations are solvable, the solutions of which are unique under certain conditions. The existence and uniqueness of the solutions are investigated in a theorem and an upper boundary is found for solutions. Comparison of the e...

In this study, differential transform method (DTM) is applied to fuzzy integro-differential equation. The concept of generalized Hdifferentiability is used. If the equation has a solution in terms of the series expansion of known functions; this powerful method catches the exact solution. Some numerical examples are also given to illustrate the superiority of the method. All rights reserved.

In this paper, we discuss the existence and uniqueness of fuzzy impulsive solutions for the nonlinear fuzzy impulsive neutral functional differential equation by using via Banach fixed point analysis approach and the fuzzy number whose value are normal, convex upper semicontinuous and compactly supported interval in EN. AMS (MOS) Mathematical Subject Classification: 34A10, 26E50, 47E05.

We shall prove the existence and uniqueness theorem of a solution to the nonlocal fuzzy differential equation using the contraction mapping principle. Ams Mathematics Subject Classification : 94D05, 34C27

In this paper, a solution procedure for the solution of the system of fuzzy differential equations ẋ(t) = α(A− In) [t(A− In) + In]−1 x(t), x(0) = x0 where A is real n × n matrix which does not have eigenvalues on R− and x0 is a vector consisting of n fuzzy numbers is developed. In addition, the necessary and sufficient condition for the existence of fuzzy solution is presented. An example is pr...

a wind farm is a collection of wind turbines built in an area to provide electricity. wind power is a renewable energy resource and an alternative to non-renewable fossil fuels. in this paper impact of wind farms in power system reliability is investigate and a new procedure for reliability assessment of wind farms in hl1 level is proposed. in proposed procedure, application of fuzzy – markov f...