Abstract
This paper investigates chaotic and fractal dynamics of fractional coupled logistic maps constructed based on the Caputo fractional h-difference. The chaos of this map, affected by the memory and scale derived from the fractional operator, is examined through phase portrait, "0-1 " test and Lyapunov exponent. Fractal synchronization is achieved by designing a coupled controller between Julia sets generated from two fractional coupled maps with different structures. Numerical simulations are presented to validate the main findings.