Home 9 Author: Abdelouaheb Ardjouni
Abdelouaheb Ardjouni
Open AccessArticle

Existence of solutions for Hadamard fractional differential equations in Banach spaces

Annals of Communications in Mathematics 2021

, 4 (1)

, 1-9

DOI: https://doi.org/10.62072/acm.2021.040101

AbstractIn this work, we investigate the existence of solutions for Hadamard fractional differential equations with integral boundary conditions in a Banach space. We will make use the measure of noncompactness and the Monch fixed point theorem to prove the ¨ main results. An example is given to illustrate our results.
Open AccessArticle

Study of the global asymptotic stability in nonlinear neutral integro-dynamic

Annals of Communications in Mathematics 2020

, 3 (2)

, 139-151

DOI: https://doi.org/10.62072/acm.2020.030203

AbstractThe main purpose of this paper is to establish the global asymptotic stability of the zero solution of a class of nonlinear neutral integro-dynamic equations in C1 rd. Global asymptotic stability results are based on the Banach fixed point theorem. The results obtained here extend the work of Huang, Zhao and Liu [19].