Fractional Definite Integral

被引：12
|
作者：
Ortigueira, Manuel [1 ,2 ,3 ]
Machado, Jose [4 ]
机构：
[1] Univ Nova Lisboa, Campus FCT UNL, P-2829516 Quinta Da Torre, Caparica, Portugal
[2] UNL, DEE Fac Ciencias & Tecnol, Campus FCT UNL, P-2829516 Quinta Da Torre, Caparica, Portugal
[3] INESC ID, Rua Alves Redol 9, P-1000029 Lisbon, Portugal
[4] Polytech Porto, Inst Engn, Dept Elect Engn, R Dr Antonio Bernardino de Almeida 431, P-4249015 Porto, Portugal
来源：
FRACTAL AND FRACTIONAL | 2017年 / 1卷 / 01期
关键词：
fractional integral; fractional derivative; definite fractional integral; CALCULUS;
D O I：
10.3390/fractalfract1010002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper proposes the definition of fractional definite integral and analyses the corresponding fundamental theorem of fractional calculus. In this context, we studied the relevant properties of the fractional derivatives that lead to such a definition. Finally, integrals on R-2 and R-3 are also proposed.
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页码：1 / 9
页数：9
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