A STUDY ON FUZZY DIFFERENTIAL EQUATION

Author (s) : G.Meenatchi, C.Karunaivelan & M.Sivagami

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Abstract :
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 rationale behind considering FDEs under each concept of fuzzy derivative is highlighted. The pros and cons of each approach dealing with FDEs are also discussed. Moreover, some of the proposed FDEs applications and methods for solving them are investigated. Fuzzy differential equation are general concept of ordinary differential equation in mathematics defined as differential inclusion for non-uniform upper hemicontinuity convex set with compactness in fuzzy set.Finally, some of the future perspectives and challenges of fuzzy differential equations are discussed based on our personal view point.

Keywords : Fuzzy, Differential Equation, Fuzzy Differential Equation (FDE), Derivative

Conference Date : 30/08/2019

Pages : 332

Paper ID : 19323