Abdelouaheb Ardjouni

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.

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].