This work proposes a conformable fractional predictor-corrector algorithm for solving conformable fractional differential equations. Fractional calculus is finding applications in various scientific fields, but existing numerical methods might have limitations. This work addresses that gap by introducing a new algorithm specifically designed for the conformable fractional derivative using Adams-Bashforth and Adams-Moulton methods.

翻译：本文提出了一种用于求解适形分数阶微分方程的适形分数阶预测-校正算法。分数阶微积分在众多科学领域中正得到广泛应用，但现有数值方法可能存在局限性。本研究通过引入一种专门针对适形分数阶导数设计的新算法来填补这一空白，该算法基于Adams-Bashforth和Adams-Moulton方法构建。