Impulsive partial functional fractional differential equations with non-local conditions

  • Mouna Lemkeddem
  • Hadda Hammouche
  • Kaddour Guerbati
  • Mouffak Benchohra Djilali Liabes University of Sidi Bel Abbes

Abstract

This paper is mainly concerned with the existence of mild solutions of some impulsive evolution fractional functional differential equations with non-local conditions. The results are obtained by using the Banach contraction principle and Krasnoselski's fixed point theorem combined with the $\alpha$-Resolvent family. An example is presented to illustrate the main results.

Published
2019-05-26