Fuzzy generalized H-differential and applications to fuzzy differential equations of second-order

Authors:
Tofigh Allahviranloo;Laleh Hooshangian
Affiliations:
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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Abstract

In this paper, a new way of obtaining second order Hakuhara derivative is introduced. The theorems to apply this way are approved. Then, the parametric form of fuzzy numbers is applied to solve two types of fuzzy H-differential equations of second order with constant multipliers and fuzzy initial values. Their solutions are classified and discussed hereinafter.