On Solution of Two-Point Fuzzy Boundary Value Problems

Abstract

Abstract:In this paper, we investigate the existence and uniqueness of solutions of two-point fuzzy boundary value problems for second-order fuzzy differential equations. Some sufficient conditions are presented that guarantee the existence and uniqueness of solutions under the approach of Hukuhara differentiability.

An approach to a fuzzy problem using the fuzzy Laplace transform under the generalized differentiability

“…There are many approaches to define fuzzy derivative. The first one is Hukuhara derivative [1][2][3]. But Hukuhara derivative has a drawback.…”

On a Fuzzy Problem with Variable Coefficient by Fuzzy Laplace Transform

“…There are different approaches to solve the fuzzy differential equation. The first approach is Hukuhara derivative (Puri and Ralescu, 1983;Gültekin and Altınışık, 2014) or generalized Hukuhara derivative (Stefanini and Bede 2008;Ceylan and Altınışık, 2018;Gültekin Çitil, 2018). But in Hukuhara derivative, the solution becomes uncertain as time goes on.…”

Sınır Koşulunda bir Özdeğer Parametre Bulunan bir Fuzzy Sınır Değer Problemi Üzerine

“…The first approach is Hukuhara differentiability and for this, firstly the existence and uniqueness of the solution of a fuzzy differential equation are examined [1,2]. Gültekin and Altınışık [3] have investigated the existence and uniqueness of solutions of two-point fuzzy boundary value problems using the Hukuhara differentiability. Gültekin Çitil and Altınışık [4] have defined the fuzzy Sturm-Liouville equation and they have examined eigenvalues and eigenfunctions of the problem under the approach of the Hukuhara differentiability.…”