A Predictor–Corrector Method for Conformable Fractional Differential Equations of Order α ∈ (1,2]

Özet

In this paper, we develop a predictor–corrector numerical method for solving conformable fractional differential equations of order α ∈ (1,2. By transforming the conformable fractional problem into an equivalent system of first-order ordinary differential equations, we construct an Adams–Bashforth–Moulton type scheme adapted to the conformable framework. The proposed method is easy to implement and avoids memory effects typical of Caputo-type fractional models. A consistency and convergence analysis is provided, and the method achieves second-order accuracy under suitable smoothness assumptions