On fractional vectorial calculus

被引：21
|
作者：
Ortigueira, M. D. [1 ,2 ]
Machado, J. A. T. [3 ]
机构：
[1] UNL, CTS UNINOVA, Campus FCT UNL, P-2829516 Quinta Da Torre, Caparica, Portugal
[2] UNL, Fac Ciencias & Tecnol, DEE, Campus FCT UNL, P-2829516 Quinta Da Torre, Caparica, Portugal
[3] Polytech Porto, Inst Engn, Dept Elect Engn, Porto, Portugal
来源：
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES | 2018年 / 66卷 / 04期
关键词：
Grunwald-Letnikov; Liouville; fractional gradient; fractional divergence; fractional curl; fractional Laplacian; Green's theorem; Stokes' theorem; Ostrogradski-Gauss's theorem; CONTINUUM-MECHANICS; GAUGE-INVARIANCE; FIELD-THEORIES; WAVE-EQUATION; DERIVATIVES; DISPERSION; MODELS; MEDIA; ABSORPTION; DIFFUSION;
D O I：
10.24425/124254
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper reviews the fractional vectorial differential operators proposed previously and introduces the fractional versions of the classic Green's, Stokes', and Ostrogradski-Gauss's integral theorems. The suitability of fractional derivatives for sciences and the Laplacian definition are also discussed.
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页码：389 / 402
页数：14
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