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 |
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| creator | Toan, Phan Thanh Vo, Thieu N. Razzaghi, Mohsen |
| description | 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. |
| doi_str_mv | 10.1007/s00366-019-00818-w |
| format | Article |
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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.</description><identifier>ISSN: 0177-0667</identifier><identifier>EISSN: 1435-5663</identifier><identifier>DOI: 10.1007/s00366-019-00818-w</identifier><language>eng</language><publisher>London: Springer London</publisher><subject>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. 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| fulltext | fulltext |
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| ispartof | Engineering with computers, 2021-01, Vol.37 (1), p.231-240 |
| issn | 0177-0667 1435-5663 |
| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | 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 |
| title | Taylor wavelet method for fractional delay differential equations |
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