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Fuzzy Dynamic Equations on Time Scales Under Second Type Hukuhara Delta Derivative

Ch. Vasavi, G. Suresh Kumar and M. S. N. Murty

In this paper, we introduce and study the properties of second type Hukuhara delta derivative denoted by (ΔSH–derivative) for fuzzy set-valued functions on time scales whose values are normal, convex, upper semicontinuous and compactly supported fuzzy sets in Rn. We establish the existence and uniqueness criteria for fuzzy dynamic equations on time scales using Banach contraction principle. For an application, we consider the radioactive decay problem and illustrate the advantage of (ΔSH–derivative).