Numerical Approach for Solving Incommensurate Higher-Order Fractional Differential Equations

In this research, we present a novel numerical approach to tackle an incommensurate system of fractional differential equations of 2α-order, where α = (α1,α2,α3,···,αn) with 0 < αi ≤ 1, ∀i = 1,2,3,···,n. Our proposed method involves reducing the system to α-fractional differential equations using a newly derived result, followed by the implementation of the Modified Fractional Euler Method (MFEM), a recent numerical technique. We demonstrate the efficacy of our approach through an illustrative example, providing validation for our proposed methodology.