Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 109
Conformable Fractional Cauchy Problem with a Measure of Non compactness in Banach spaces
Najat Chefnaj, Khalid Hilal, Ahmed Kajouni
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 11, 2022
March 03, 2104
April 15, 2104

Abstract: The differential equation with the conformable fractional derivative is introduced by T. Abdljawad [2] and A. Kajouni et al. [1] gives a new form of this derivative and some application. This last derivative is the generalization of the classical derivative an important tool in the modeling of phenomena in several scientific fields such as physics, engineering, control theory, etc. In this work, we prove the existence of mild solution of conformable fractional differential equation with a measure non-compactness in Banach spaces, for the more about a measure non-compactness, we refer to [3]. ...