On a Leibnitz type formula for fractional derivatives

被引：5

作者：

Mitrovic, Darko ^{[1
]}

机构：

[1] Univ Montenegro, Fac Math, Podgorica 81000, Montenegro

来源：

FILOMAT | 2013年 / 27卷 / 06期

关键词：

Leibnitz rule; fractional derivatives; MODEL;

D O I：

10.2298/FIL1306141M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that L-2-norm of fractional derivatives of product of two functions can be estimated by L-2 and L-1-norms of derivatives of the functions themselves.

引用

页码：1141 / 1146

页数：6

共 16 条

[1] Non-uniqueness of weak solutions for the fractal Burgers equation [J].

Alibaud, Nathael ;

Andreianov, Boris .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2010, 27 (04) :997-1016

[2]

[Anonymous], 1970, MATH USSR SBORNIK, DOI DOI 10.1070/SM1970V010N02ABEH002156

[3]

Atanackovic T., VARIATIONAL PROBLEMS

[4] On a model of viscoelastic rod in unilateral contact with a rigid wall [J].

Atanackovic, TM ;

Oparnica, L ;

Pilipovic, S .

IMA JOURNAL OF APPLIED MATHEMATICS, 2006, 71 (01) :1-13

[5] The fractional-order governing equation of Levy motion [J].

Benson, DA ;

Wheatcraft, SW ;

Meerschaert, MM .

WATER RESOURCES RESEARCH, 2000, 36 (06) :1413-1423

[6] Modeling non-Fickian transport in geological formations as a continuous time random walk [J].

Berkowitz, Brian ;

Cortis, Andrea ;

Dentz, Marco ;

Scher, Harvey .

REVIEWS OF GEOPHYSICS, 2006, 44 (02)

[7] The discontinuous Galerkin method for fractional degenerate convection-diffusion equations [J].

Cifani, Simone ;

Jakobsen, Espen R. ;

Karlsen, Kenneth H. .

BIT NUMERICAL MATHEMATICS, 2011, 51 (04) :809-844

[8]

Espedal M.S., 2000, Filtration in Porous Media and Industrial Application, P9

[9] Waves in viscoelastic media described by a linear fractional model [J].

Konjik, Sanja ;

Oparnica, Ljubica ;

Zorica, Dusan .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (4-5) :283-291

[10]

Lazar M, 2012, DYNAM PART DIFFER EQ, V9, P239

← 1 2 →