@article{Manigandan2024, 
author = {Murugesan Manigandan and Kannan Manikandan and Hasanen A. Hammad and Manuel De la Sen},
title = {Applying fixed point techniques to solve fractional differential inclusions under new boundary conditions},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {15505-15542},
keywords = {fixed point technique, Carathéodory function, existence solution, fractional derivatives, sequential differential inclusions},
url = {https://www.sciopen.com/article/10.3934/math.2024750},
doi = {10.3934/math.2024750},
abstract = {Many scholars have lately explored fractional-order boundary value issues with a variety of conditions, including classical, nonlocal, multipoint, periodic/anti-periodic, fractional-order, and integral boundary conditions. In this manuscript, the existence and uniqueness of solutions to sequential fractional differential inclusions via a novel set of nonlocal boundary conditions were investigated. The existence results were presented under a new class of nonlocal boundary conditions, Carathéodory functions, and Lipschitz mappings. Further, fixed-point techniques have been applied to study the existence of results under convex and non-convex multi-valued mappings. Ultimately, to support our findings, we analyzed an illustrative example.}
}