A study on dependent impulsive integro-differential evolution equations of general type in Banach space

Document Type : Special issue editorial

Authors

1 MISCOM, National School of Applied Sciences, Cadi Ayyad University, Safi, Morocco

2 Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco

3 Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, China

Abstract

This paper deals with the study of a coupled system of generalized impulsive integro-differential evolution equations with periodic boundary value. We show the existence and uniqueness of the solution for the proposed problem using Banach fixed point theorem. Another way was used to show the existence result with the aim of breaking out of the widely used Theorems style, we take advantage Monch's fixed point theorem using a non-compactness measure that we introduced. Some examples are given to our obtained results.

Keywords

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Volume 13, Issue 2
July 2022
Pages 815-827
  • Receive Date: 10 June 2020
  • Revise Date: 01 July 2020
  • Accept Date: 22 August 2020