2021 **Abstract:** Since the term "Fuzzy differential equations" (FDEs) emerged in the literature in 1978, prevailing research effort has been dedicated not only to the development of the concepts concerning the topic, but also to its potential applications. This paper presents a chronological survey on fuzzy differential equations of integer and fractional orders. Attention is concentrated on the FDEs in which a definition of fuzzy derivative of a fuzzy number-valued function has been taken into account. The chronological ratio…

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“…The uncertainty in FDEs is considered as fuzzy numbers that are a sort of knowledge of experts. A considerable number of studies have been conducted on fuzzy differential equations among which the most important is a review on fuzzy differential equations that recently Mazandarani et al in [1] elegantly has elaborated on all the aspects of fuzzy differential equations. A large number of possible applications of FDEs has been cited in [1] among which we shall recall few of them as follows.…”

confidence: 99%

“…A considerable number of studies have been conducted on fuzzy differential equations among which the most important is a review on fuzzy differential equations that recently Mazandarani et al in [1] elegantly has elaborated on all the aspects of fuzzy differential equations. A large number of possible applications of FDEs has been cited in [1] among which we shall recall few of them as follows. Fuzzy delay differential equations under the concept of granular calculus has been studied in [2] .…”

confidence: 99%

“…On the contrary, fuzzy differential equations (FDEs) are a valuable tool to model a dynamic system that is ambiguous in its existence and comportments. Since the FDEs have been used widely to model scientific and engineering problems, they have become a popular topic among researchers [2]. There are many practical problems with the solution of FDEs that satisfy initial [3] or boundary [4] values conditions.…”

confidence: 99%

“…Modeling like biological population models, the predator-prey models and infectious diseases models, etc are generalized to fractional order. Fractional calculus is not only a productive and emerging field, but it also represents a new philosophy, how to construct and apply a certain type of nonlocal operator to real-world problems [17,18,19,26,27,32,33].…”

confidence: 99%