Existence of Solution of Implicit type Initial value Fractional Dynamic Equation on Time Scales

Abstract

In this paper we inquire into the existence and uniqueness theorem to the initial value non-linear implicit type fractional dynamic equation by using the newly developed Caputo nabla (∇) fractional derivative operator. The existence of the solution is based on Schauder’s fixed point theorem and Banach contraction theorem. One example has been provide to justified our findings.