1. The n-Point Composite Fractional Formula for Approximating Riemann–Liouville Integrator.
- Author
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Batiha, Iqbal M., Alshorm, Shameseddin, Al-Husban, Abdallah, Saadeh, Rania, Gharib, Gharib, and Momani, Shaher
- Subjects
- *
FRACTIONAL calculus , *DEFINITE integrals , *FRACTIONAL integrals , *INTEGRATORS - Abstract
In this paper, we aim to present a novel n-point composite fractional formula for approximating a Riemann–Liouville fractional integral operator. With the use of the definite fractional integral's definition coupled with the generalized Taylor's formula, a novel three-point central fractional formula is established for approximating a Riemann–Liouville fractional integrator. Such a new formula, which emerges clearly from the symmetrical aspects of the proposed numerical approach, is then further extended to formulate an n-point composite fractional formula for approximating the same operator. Several numerical examples are introduced to validate our findings. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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