TY  - JOUR
AU  - Lachouri, Adel
AU  - Adjimi, Naas
AU  - Samei, Mohammad Esmael
AU  - De la Sen, Manuel
PY  - 2025
TI  - Non-separated inclusion problem via generalized Hilfer and Caputo operators
JO  - AIMS Mathematics
SP  - 6448
EP  - 6468
VL  - 10
IS  - 3
AB  - 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.
UR  - https://doi.org/10.3934/math.2025294
DO  - 10.3934/math.2025294