TY  - JOUR
AU  - Manigandan, Murugesan
AU  - Manikandan, Kannan
AU  - Hammad, Hasanen A.
AU  - De la Sen, Manuel
PY  - 2024
TI  - Applying fixed point techniques to solve fractional differential inclusions under new boundary conditions
JO  - AIMS Mathematics
SP  - 15505
EP  - 15542
VL  - 9
IS  - 6
AB  - 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.
UR  - https://doi.org/10.3934/math.2024750
DO  - 10.3934/math.2024750