Initial value problems for higher-order fuzzy differential equations

Initial and Boundary Value Problems for Fuzzy Differential Equations

“…Here, we use a modified Lipschitz condition that involves all the variables. The results obtained here, include more general class of problems than in ( [3], [5] and [7]) obtained for first and second order fuzzy differential equations.…”

“…Many authors ( [3]- [10]) have studied initial and boundary value problems associated with first and second order Fuzzy differential equations on the metric space (E n , D) of normal fuzzy convex sets with the distance D given by the supremum of the Hausdorff distance between the corresponding a -level sets.…”

“…Recently in [3] they have been obtained existence and uniqueness conditions of solutions for initial value problems associated with nonlinear second order and higher order fuzzy differential equations satisfying a Lipschitz condition. In this paper, we prove existence and uniqueness theorems for first and second order nonlinear fuzzy differential equations satisfying a modified Lipschitz condition.…”

Nth-order Fuzzy Differential Equations Under Generalized Differentiability

“…In [10], nth-order fuzzy linear differential equation is discussed and in [15], Nth-order fuzzy differential equation is investigated generally. Naturally, investigation of existence and uniqueness of solution of fuzzy initial value problems is important.…”

Numerical Investigation of the Hybrid Fuzzy Differential Equations Using Leapfrog Method

“…Subsequently, using -derivative, Kaleva [9,10] and Seikkala [22] developed the theory of fuzzy differential equations. In the last few years, many researchers have worked on theoretical and numerical solution of FDEs [13,14], specially some authors considered the second-order fuzzy differential equations [1,5,20].…”