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...
Saved in:
| Main Author: | Kareem T. Elgindy |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-06-01
|
| Series: | Algorithms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1999-4893/18/7/395 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
The Numerical Approximation of Caputo Fractional Derivatives of Higher Orders Using a Shifted Gegenbauer Pseudospectral Method: A Case Study of Two-Point Boundary Value Problems of the Bagley–Torvik Type
by: Kareem T. Elgindy
Published: (2025-05-01) -
Numerical Approximations and Fractional Calculus: Extending Boole’s Rule with Riemann–LiouvilleFractional Integral Inequalities
by: Abdul Mateen, et al.
Published: (2025-01-01) -
Modeling the Dynamics of Supercapacitors by Means of Riemann–Liouville Integral Definition
by: Ventura Avila-Rodriguez, et al.
Published: (2024-08-01) -
Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability results
by: Azam Fathipour, et al.
Published: (2025-06-01) -
On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral
by: Yuri Luchko
Published: (2024-09-01)