FRACTIONAL GREEN-FUNCTIONS

被引:0
|
作者
MILLER, KS [1 ]
ROSS, B [1 ]
机构
[1] UNIV NEW HAVEN,DEPT MATH,W HAVEN,CT 06516
来源
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this brief paper we shall show how the problem of finding solutions to a wide class of fractional differential systems may be reduced to a problem in ordinary differential equations. With this method the only way the fractional calculus enters into the picture is through the computation of fractional derivatives of known functions. We achieve this goal by introducing the concept of fractional Green's function.
引用
收藏
页码:763 / 767
页数:5
相关论文
共 50 条
  • [1] GREEN AND GREEN-FUNCTIONS
    GRAY, J
    [J]. MATHEMATICAL INTELLIGENCER, 1994, 16 (01): : 45 - 47
  • [2] GENERALIZED GREEN-FUNCTIONS
    TOSIC, B
    PILIPOVIC, S
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1995, 216 (03) : 333 - 352
  • [3] GREEN-FUNCTIONS AND COHOMOLOGY
    MIN, KL
    [J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1985, 49 (02): : 405 - 421
  • [4] ON GREEN-FUNCTIONS AND THEIR APPLICATIONS
    CEDERBAUM, LS
    [J]. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1990, : 393 - 404
  • [5] GREEN-FUNCTIONS FOR SUPERLATTICES
    BARTOS, I
    DAVISON, SG
    [J]. PHYSICAL REVIEW B, 1985, 32 (12): : 7863 - 7867
  • [6] GRASSMANN GREEN-FUNCTIONS
    RABELLO, SJ
    DEALBUQUERQUE, LC
    VAIDYA, AN
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (19): : 6571 - 6577
  • [7] SURFACE GREEN-FUNCTIONS
    BARTOS, I
    [J]. PROGRESS IN SURFACE SCIENCE, 1987, 25 (1-4) : 83 - 95
  • [8] LATTICE GREEN-FUNCTIONS
    GLUCK, P
    [J]. PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1974, 61 (01): : K27 - K31
  • [9] KINETIC GREEN-FUNCTIONS
    VEKLENKO, BA
    [J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1974, (04): : 47 - 52
  • [10] ESTIMATES FOR GREEN-FUNCTIONS
    RAMM, AG
    LI, LG
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 103 (03) : 875 - 881