Mittag-Leffler wavelet-based numerical method for fractional pantograph delay differential equations

This paper proposes a robust numerical framework for solving fractional pantograph delay differential equations. The approach leverages the Riemann–Liouville fractional integral operator, represented through Mittag-Leffler wavelet functions within a collocation-based scheme. To facilitate computation, an operational matrix is constructed, enabling the transformation of the fractional differential system into a system of algebraic equations. The proposed method’s accuracy, stability, and convergence are rigorously validated through comprehensive numerical experiments.

کلیدواژه ها:

Fractional pantograph differential equations ، Mittag-Leffler wavelets ، operational matrix