| Issue |
ITM Web Conf.
Volume 29, 2019
1st International Conference on Computational Methods and Applications in Engineering (ICCMAE 2018)
|
|
|---|---|---|
| Article Number | 01001 | |
| Number of page(s) | 8 | |
| Section | Applied/Computational Mathematics | |
| DOI | https://doi.org/10.1051/itmconf/20192901001 | |
| Published online | 15 October 2019 | |
Hybrid approximations for fractional calculus
Department of Mathematics and Statistics, Mississippi State University,
Mississippi State,
MS 39762,
USA
* e-mail: razzaghi@math.msstate.edu
In this paper, a numerical method for solving the fractional differential equations is presented. The method is based upon hybrid functions approximation. The properties of hybrid functions consisting ofblock-pulse functions and Taylor polynomials are presented. The Riemann-Liouville fractional integral operator for hybrid functions is given. This operator is then utilized to reduce the solution of the initial value problems for fractional differential equations to a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
Key words: Hybrid functions / fractional differential equations / block-pulse / Taylor polynomials / Caputo derivative / numerical solution
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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