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The n-Point Composite Fractional Formula for Approximating Riemann–Liouville Integrator.
- Source :
-
Symmetry (20738994) . Apr2023, Vol. 15 Issue 4, p938. 10p. - Publication Year :
- 2023
-
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]
- Subjects :
- *FRACTIONAL calculus
*DEFINITE integrals
*FRACTIONAL integrals
*INTEGRATORS
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 15
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 163458242
- Full Text :
- https://doi.org/10.3390/sym15040938