Existence and Uniquness of Solutions of Fuzzy Differential Equations by Using Contractive-Like Mapping Principles in Fuzzy Partial Metric Spaces

In this paper, we prove a general form of a fixed point theorem with contractive-like mapping defined by altering function. We also present its application on study of existence and uniqueness of solution of fuzzy initial value problems in fuzzy partial metric spaces. In order to do this, we recall some fixed point theorems in partial metric spaces either crisp or fuzzy and use these theorems to prove ours.