A universal predictor–corrector algorithm for numerical simulation of generalized fractional differential equations

This study introduces some remarks on generalized fractional integral and differential operators, which generalize familiar derivative with respect to a given function. We briefly explain how formulate representations of operators. Then, mainly, we propose predictor–corrector algorithm for the numerical simulation initial value problems involving Caputo-type derivatives another Numerical solutions models have been introduced demonstrate applicability efficiency presented algorithm. The proposed is expected be widely used utilized in field simulating fractional-order models.