@article{Lin2026, 
author = {Si-yuan Lin and Heng-you Lan and Ji-hong Li},
title = {Solution continuous dependence of novel Caputo–Hadamard type fuzzy fractional partial differential coupled systems with applications},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {4},
pages = {10400-10443},
keywords = {existence and uniqueness theorem, solution continuous dependence, chaotic behavior of the solution, novel Caputo–Hadamard generalized Hukuhara type fuzzy fractional partial differential coupled system, Banach fixed-point theorem, projection neural network},
url = {https://www.sciopen.com/article/10.3934/math.2026429},
doi = {10.3934/math.2026429},
abstract = {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.}
}