The existence of mild solution to non-instantaneous impulses fractional differential evolution equation with measure of non compactness.

Hannabou, Mohamed; Bouaouid, Mohamed; Hilal, Khalid

doi:10.21608/jfca.2023.198315.1003

The existence of mild solution to non-instantaneous impulses fractional differential evolution equation with measure of non compactness.

Document Type : Regular research papers

Authors

Sultan Moulay Slimane University, Faculty of Sciences and Technics, Department of Mathematics, BP 523, 23000, Beni Mellal, Morocco.

10.21608/jfca.2023.198315.1003

Abstract

In this Paper, we are going to study the existence results for the non-instantaneous impulses fractional differential evolution equation by using measure of non compactness. The theory of operator semigroups, probability density function, Mönch - fixed point theorem, are the main tools of our study results for this problem . Lastly, an example is provided to illustrate the results.
In this Paper, we are going to study the existence results for the non-instantaneous impulses fractional differential evolution equation by using measure of non compactness. The theory of operator semigroups, probability density function, Mönch - fixed point theorem, are the main tools of our study results for this problem .
Lastly, an example is provided to illustrate the results.
In this Paper, we are going to study the existence results for the non-instantaneous impulses fractional differential evolution equation by using measure of non compactness. The theory of operator semigroups, probability density function, Mönch - fixed point theorem, are the main tools of our study results for this problem .
Lastly, an example is provided to illustrate the results.

Keywords