In the first place, for the convenience of research, we convert the conformable fractional differential system into an conformable fractional integral system, and based on this, we construct a sequence of functions. In addition, with the help of series convergence, we prove that the constructed function sequence converges uniformly. Finally, we investigate the existence and uniqueness of solutions to the conformable fractional differential system. Our researches contribute to finding approximate solutions for the nonlinear conformable fractional differential systems. Of course, through our researches, the error between approximate and exact solutions can also be calculated.
Qi et al. (2026) studied this question.