Super-Exponential Approximation of the Riemann–Liouville Fractional Integral via Gegenbauer-Based Fractional Approximation Methods

This paper introduces a Gegenbauer-based fractional approximation (GBFA) method for high-precision approximation of the left Riemann–Liouville fractional integral (RLFI). By using precomputable fractional-order shifted Gegenbauer integration matrices (FSGIMs), the method achieves super-exponential c...

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Auteur principal:	Kareem T. Elgindy
Format:	Artigo
Langue:	Inglês
Publié:	MDPI AG 2025-06-01
Collection:	Algorithms
Sujets:	Riemann–Liouville fractional integral shifted Gegenbauer polynomials pseudospectral methods super-exponential convergence fractional-order integration matrix
Accès en ligne:	https://www.mdpi.com/1999-4893/18/7/395
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