@article{Lachouri2025, 
author = {Adel Lachouri and Naas Adjimi and Mohammad Esmael Samei and Manuel De la Sen},
title = {Non-separated inclusion problem via generalized Hilfer and Caputo operators},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {3},
pages = {6448-6468},
keywords = {sequential inclusions problem, ς-Hilfer and ς-Caputo fractional derivatives, existence, nonlinear analysis},
url = {https://www.sciopen.com/article/10.3934/math.2025294},
doi = {10.3934/math.2025294},
abstract = {We aimed to analyze a new class of sequential fractional differential inclusions that involves a combination of    ς-Hilfer and    ς-Caputo fractional derivative operators, along with non-separated boundary conditions. Two cases of convex-valued and non-convex-valued set-valued maps are considered. Our outcomes are obtained from some famous theorems of fixed point method within the framework of the set-valued analysis. Additionally, some examples are provided to illustrate the applicability of our outcomes.}
}