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.

引用

页码：1 / 9

页数：9

共 50 条

[31] LIMIT OF A DEFINITE INTEGRAL
WAGNER, P
GIBBS, A
GLASSER, NL
GROSJEAN, CC
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ORTNER, N
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[J]. SIAM REVIEW, 1992, 34 (01) : 122 - 123
[32] DEFINITE INTEGRAL SYSTEMS
ZIMMERBERG, HJ
[J]. DUKE MATHEMATICAL JOURNAL, 1948, 15 (02) : 371 - 388
[33] DEFINITE INTEGRAL SYMBOL
BEUMER, MG
[J]. AMERICAN MATHEMATICAL MONTHLY, 1974, 81 (10): : 1095 - 1096
[34] Note on a definite integral
Schwatt, I. J.
[J]. PHILOSOPHICAL MAGAZINE, 1914, 28 (163-68) : 57 - 60
[35] ANOTHER DEFINITE INTEGRAL
GLASSER, ML
[J]. SIAM REVIEW, 1985, 27 (02) : 254 - 254
[36] A DEFINITE INTEGRAL PROPERTY
ULLMAN, JL
[J]. AMERICAN MATHEMATICAL MONTHLY, 1961, 68 (07): : 675 - &
[37] CONCERNING A DEFINITE INTEGRAL
LUKE, YL
UFFORD, D
[J]. JOURNAL OF THE AERONAUTICAL SCIENCES, 1951, 18 (06): : 429 - 430
[38] AN APPROXIMATION OF A DEFINITE INTEGRAL
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FETTIS, HE
[J]. SIAM REVIEW, 1968, 10 (01) : 110 - &
[39] VALUE OF A DEFINITE INTEGRAL
ORTNER, N
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1978, 58 (03): : 163 - 165
[40] DEFINITE INTEGRAL NOMOGRAM
不详
[J]. DESIGN NEWS, 1975, 30 (11) : 65 - &

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