An Accurate Approach to Simulate the Fractional Delay Differential Equations

The fractional Legendre polynomials (FLPs) that we present as an effective method for solving delay differential equations (FDDEs) are used in this work. Liouville–Caputo sense is to characterize derivatives. This uses the spectral collocation technique based on FLPs. proposed converts FDDEs into a set of algebraic equations. We lay out study convergence analysis and figure upper bound error approximate solution. Examples provided demonstrate precision suggested approach.