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

Ghasempour, Arezoo; Ordokhani, Yadollah; Razzaghi, Mohsen

doi:10.22124/jmm.2025.31321.2807

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

Articles in Press

Document Type : Research Article

Authors

¹ Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran

² Department of Mathematics and Statistics, Mississippi State University, MS, USA

10.22124/jmm.2025.31321.2807

Abstract

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.

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