Stepanov-like almost automorphic solution to second order fractional impulsive Fredholm-Volterra integro differential equation

  • V. Kavitha Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore- 641114,\ Tamil Nadu, India
  • J. Grayna Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore- 641114,\ Tamil Nadu, India.
  • Soumya George Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore- 641114,\ Tamil Nadu, India
  • K. Senthilvadivu K.S. Rangasamy College of Technology,\ Tiruchengode-637215,\ Tamil Nadu, India

Abstract

This article deals with idea of piecewise stepanov-like almost automorphic solution to fractional Fredholm-Volterra integro differential equation with impulsive condition. First we demonstrate existence of such solution by using fixed point theorem and analyse the stability of the solution. An example is provided to outline the thought developed on this work.

Published
2021-08-23