Comparison Results of Two-point Fuzzy Boundary Value Problems
نویسنده
چکیده
This paper investigates the solutions of two-point fuzzy boundary value problems as the form x′′ = f(t, x(t)), x(0) = A and x(l) = B, where A and B are fuzzy numbers. There are four different solutions for the problems when the lateral type of H-derivative is employed to solve the problems. As f(t, x) is a monotone function of x, these four solutions are reduced to two different solutions. As f(t, x(t)) = λx(t) or f(t, x(t)) = −λx(t), solutions and several comparison results are presented to indicate advantages of each solution. Keywords—fuzzy derivative, lateral type of H-derivative, fuzzy differential equations, fuzzy boundary value problems, boundary value problems
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