Aproximación numérica de la derivada e integral de orden fraccionario según Caputo y Riemann Liouville.

Authors

  • Daúl Andrés Paiva Yanayaco Universidad Nacional de San Cristóbal de Huamanga, Ayacucho, Perú.

DOI:

https://doi.org/10.57063/ricay.v3i2.93

Keywords:

Fractional Derivatives, Fractional integrals, differential equations of fractional order, modified trapezoid rule

Abstract

This research is to present a numerical alternative that solves fractional derivatives and integrals, fractional integral specifically, as they appear in fractional order differential equations, which model physical phenomena very well. This paper has used the property Trapezoid Rule. Approaches have been implemented, as shown in the calculations and graphs, with the Matlab software and the software Mathematica not differ greatly with the accurate.

References

Diethelm K., Ford N., Freed A. (2004) Detailed error analysis for a fractional Adams method, Numer. Algorithms, 36 31-52. DOI: https://doi.org/10.1023/B:NUMA.0000027736.85078.be

Odibat Z., 2006 Approximations of fractional integrals and Caputo fractional derivatives, Applied Mathematics and Computation, 178, 527-533. DOI: https://doi.org/10.1016/j.amc.2005.11.072

Podlubny I., (1999) Fractional Differential Equations, Academic Press.

Trujillo, J. J., Rivero, M., & Bonilla, B. (1999). On a Riemann–Liouville generalized Taylor's formula. Journal of Mathematical Analysis and Applications, 231(1), 255-265. DOI: https://doi.org/10.1006/jmaa.1998.6224

Published

2024-08-13

How to Cite

Paiva Yanayaco, D. A. (2024). Aproximación numérica de la derivada e integral de orden fraccionario según Caputo y Riemann Liouville. Revista De Investigación Científica De La UNF – Aypate, 3(2), 85–93. https://doi.org/10.57063/ricay.v3i2.93

Issue

Section

Artículo Original