University of Guilan Journal of Mathematical Modeling 2345-394X 14 2 2026 05 01 Mittag-Leffler wavelet-based numerical method for fractional pantograph delay differential equations 489 508 9233 10.22124/jmm.2025.31321.2807 EN Arezoo Ghasempour Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran Yadollah Ordokhani Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran Mohsen Razzaghi Department of Mathematics and Statistics, Mississippi State University, MS, USA Journal Article 2025 08 04 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. https://jmm.guilan.ac.ir/article_9233_c9128f6e51cdf96bde74edba9cb69641.pdf