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.
Highlights
Fuzzy set theory is a powerful tool for modeling uncertainly and for processing vague or subjective information in mathematical models [3]
Particulary, the study of fuzzy differential equation forms a suitable setting for mathematical modeling of real world problems in which uncertainties or vagueness pervade
An investigation is made on the solution of two-point fuzzy boundary value problems by using the Hukuhara differentiability
Summary
Fuzzy set theory is a powerful tool for modeling uncertainly and for processing vague or subjective information in mathematical models [3]. Particulary, the study of fuzzy differential equation forms a suitable setting for mathematical modeling of real world problems in which uncertainties or vagueness pervade. Fuzzy differential equations is a very important topic from theoretical point of view [5], [6], [7], [9] and it has applications, for example, in population models [4], civil engineering [8], medicine [1], [2].
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