Taylor wavelet method for fractional delay differential equations

Taylor wavelet method for fractional delay differential equations

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 solvi...

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Veröffentlicht in:Engineering with computers 2021-01, Vol.37 (1), p.231-240
Hauptverfasser: Toan, Phan Thanh, Vo, Thieu N., Razzaghi, Mohsen
Format: Artikel
Sprache:eng
Schlagworte:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Classical Mechanics
Computer Science
Computer-Aided Engineering (CAD
Control
Delay
Differential equations
Formulas (mathematics)
Math. Applications in Chemistry
Mathematical analysis
Mathematical and Computational Engineering
Numerical methods
Original Article
Systems Theory
Wavelet analysis
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Beschreibung
Zusammenfassung: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.
ISSN:0177-0667
1435-5663
DOI:10.1007/s00366-019-00818-w