Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory

In this paper, the Riesz-Caputo fractional derivative of variable order with fixed memory is considered. The studied non-integer differential operator is approximated by means of modified basic rules of numerical integration. The three proposed methods are based on polynomial interpolation: piecewis...

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Veröffentlicht in:	Meccanica (Milan) 2022-04, Vol.57 (4), p.861-870
Hauptverfasser:	Blaszczyk, Tomasz, Bekus, Krzysztof, Szajek, Krzysztof, Sumelka, Wojciech
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Automotive Engineering Civil Engineering Classical Mechanics Continuum mechanics Differential equations Engineering Interpolation Mathematical analysis Mechanical Engineering Numerical integration Operators (mathematics) Polynomials
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