Non-Instantaneous Impulsive Fractional Integro-Differential Equations with State-Dependent Delay

Autor: Nadia Benkhettou, Abdelkrim Salim, Khalida Aissani, Mouffak Benchohra, Erdal Karapinar

Publikováno v: Sahand Communications in Mathematical Analysis, Vol 19, Iss 3, Pp 93-109 (2022)

This paper deals with the existence and uniqueness of the mild solution of the fractional integro-differential equations with non-instantaneous impulses and state-dependent delay. Our arguments are based on the fixed point theory. Finally, an example

Externí odkaz: https://doaj.org/article/1f9354aaeac04310b5ea2bab292d631f

Impulsive fractional differential inclusions with infinite delay

Autor: Khalida Aissani, Mouffak Benchohra

Publikováno v: Electronic Journal of Differential Equations, Vol 2013, Iss 265,, Pp 1-13 (2013)

In this article, we apply Bohnenblust-Karlin's fixed point theorem to prove the existence of mild solutions for a class of impulsive fractional equations inclusions with infinite delay. An example is given to illustrate the theory.

Externí odkaz: https://doaj.org/article/db13f725a7ad43768e90ee0252a14c1a

Semilinear fractional order integro-differential inclusions with infinite delay

Autor: Mouffak Benchohra, Mohamed Abdalla Darwish, Khalida Aissani

Publikováno v: Georgian Mathematical Journal. 25:317-327

In this paper, we study the existence of mild solutions for a class of semilinear fractional order integro-differential inclusions with infinite delay in Banach spaces. Sufficient conditions for the existence of solutions are derived by using a nonli

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::46d935b3676de04f3937f8d64fc26459
https://doi.org/10.1515/gmj-2016-0063

Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay

Autor: Juan J. Nieto, Khalida Aissani, Mouffak Benchohra

Publikováno v: Volume: 3, Issue: 1 18-34
Advances in the Theory of Nonlinear Analysis and its Application
Advances in the Theory of Nonlinear Analysis and its Applications, Vol 3, Iss 1, Pp 18-34 (2019)

In this paper, sufficient conditions are provided for the controllability of impulsive fractional evolution inclusions with state-dependent delay in Banach spaces. We used afixed-point theorem for condensing maps due to Bohnenblust--Karlin and the th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8c798cd5b47c5623c8ddca5a0eeb3e8
https://dergipark.org.tr/tr/pub/atnaa/issue/41467/494662

Semilinear fractional order integro-differential equations with infinite delay in Banach spaces

Autor: Khalida Aissani, Mouffak Benchohra

Publikováno v: Archivum Mathematicum. :105-117

This paper concerns the existence of mild solutions for fractional order integro-differential equations with infinite delay. Our analysis is based on the technique of Kuratowski’s measure of noncompactness and Monch’s fixed point theorem. An exam

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a0068e7f7bb4eefd28ed64a1e2039928
https://doi.org/10.5817/am2013-2-105