Abstract
We present a new numerical method for solving fractional delay differential equations. The method is based on Taylor wavelets. We establish an exact formula to determine the Riemann–Liouville fractional integral of the Taylor wavelets. The exact formula is then applied to reduce the problem of solving a fractional delay differential equation to the problem of solving a system of algebraic equations. Several numerical examples are presented to show the applicability and the effectiveness of this method.
| Original language | English |
|---|---|
| Pages (from-to) | 231-240 |
| Number of pages | 10 |
| Journal | Engineering with Computers |
| Volume | 37 |
| Issue number | 1 |
| Early online date | 15 Jul 2019 |
| DOIs | |
| Publication status | Published - 31 Jan 2021 |
Bibliographical note
Publisher Copyright:© 2019, Springer-Verlag London Ltd., part of Springer Nature.
Acknowledgements
The authors wish to express their sincere thanks to anonymous referees for their valuable suggestions that improved the final manuscript.Keywords
- Collocation method
- Delay differential equation
- Fractional integral
- Numerical solution
- Taylor wavelet
ASJC Scopus subject areas
- Software
- Modelling and Simulation
- General Engineering
- Computer Science Applications