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In this manuscript we investigate the existence and uniqueness of animpulsive fractional dynamic equation on time scales involving non-localinitial condition with help of Caputo nabla derivative. The existency is basedon the Scheafer's fixed point theorem along with the Arzela-Ascoli theorem andBanach contraction theorem. The comparison of the Caputo nabla derivative andRiemann-Liouvile nabla derivative of fractional order are also discussed in thecontext of time scale.

Impulsive Fractional Dynamic Equation with Non-local Initial Condition on Time Scales