Existence results for the Solutions of Fractional Evolution Equations with Noninstantaneous Impulses

Document Type : Primary Research paper

Authors

1 Department of Applied Mathematics, Faculty of Technology and Engineering, The M. S. University of Baroda, Vadodara, Gujarat, India

2 Department of Mathematics, Faculty of Science, The M. S. University of Baroda, Vadodara, Gujarat, India

Abstract

In this article, we are discussing a set of sufficient conditions for
existence mild solutions of fractional semi-linear evolution equation with noninstantaneous
impulses with classical and non-local conditions using the concept of
generators and generalized fixed point theorem. Illustrations provided to validate our
results.

Keywords