Existence and stability of fractional integro differential equation with non-instantaneous integrable impulses and periodic boundary condition on time scales

摘要

The present paper is devoted to the study of existence and stability of fractional integro differential equation with non-instantaneous impulses and periodic boundary condition on time scales. This paper consists of two segments: the first segment of the work is concerned with the theory of existence, uniqueness and the other segment is to Hyer’s-Ulam type’s stability analysis. The tools for study include the Banach fixed point theorem and nonlinear functional analysis. Finally, in support, an example is presented to validate the obtained results.