TY  - JOUR
AU  - Lin, Si-yuan
AU  - Lan, Heng-you
AU  - Li, Ji-hong
PY  - 2026
TI  - Solution continuous dependence of novel Caputo–Hadamard type fuzzy fractional partial differential coupled systems with applications
JO  - AIMS Mathematics
SP  - 10400
EP  - 10443
VL  - 11
IS  - 4
AB  - Our purpose of this paper was to investigate a class of novel Caputo–Hadamard type fuzzy fractional partial differential coupled systems with generalized Hukuhara difference and integral boundary conditions. We proposed properties of the solution, including its existence and uniqueness, continuous dependence on the initial conditions, and chaotic behavior in specific cases. Using Banach fixed-point theorem, we established the existence and uniqueness theorems of solutions for the partial differential coupled systems, and subsequently discussed continuous dependence of the solutions on initial conditions. Furthermore, a numerical example is presented to validate the major conclusions. The local solution ehibited chaotic behavior, which was accompanied by a corresponding circuit implementation. Finally, the existence and uniqueness of the solution for a novel fuzzy projection neural network system were established.
UR  - https://doi.org/10.3934/math.2026429
DO  - 10.3934/math.2026429