Existence, Uniqueness and Stability of Nonlinear Implicit Fractional Dynamical Equation with Impulsive condition on Time Scales

Abstract

The main motive of this research article is to establish the existence, uniqueness and stability results for the non-linear fractional differential equation with impulsive condition on time scales. Banach, Leray-Schauder’s alternative type fixed point theorems are used to examine these results. Further, we give the existence and uniqueness of solution for the corresponding non-local problem. Moreover, to outline the utilization of these outcomes some examples are given.

Keywords

• time scales
• existence
• stability
• fractional impulsive differential equations
• fixed point theorem
• 34n05
• 34a08
• 34a12
• 03c45
• 34a26