Subordination and superordination for analytic functions involving fractional integral operator

被引:19
作者
Ibrahim, Rabha W. [1 ]
Darus, Maslina [1 ]
机构
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Bangi 43600, Selangor Darul, Malaysia
关键词
fractional calculus; univalent solution; subordination; superordination;
D O I
10.1080/17476930802429131
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Subordination and superordination results for functions involving fractional integral operator are given. Moreover, this result is applied to find a relation between solutions for fractional differential equation.
引用
收藏
页码:1021 / 1031
页数:11
相关论文
共 8 条
  • [1] Curtain R., 1977, FUNCTIONAL ANAL MODE
  • [2] Dhage B.C., 2004, Nonlinear Funct. Anal. Appl., V8, P563
  • [3] Subordination and superordination for univalent solutions for fractional differential equations
    Ibrahim, Rabha W.
    Darus, Maslina
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) : 871 - 879
  • [4] Miller Kenneth S, 1993, An introduction to the fractional integrals and derivativestheory and applications. john willey & sons
  • [5] Miller S. S., 2003, Complex Variables, V48, P815, DOI DOI 10.1080/02781070310001599322
  • [6] Miller SS, 2000, MONOGRAPHS TXB PURE, V225
  • [7] Pommerenke C, 1975, UNIVALENT FUNCTIONS
  • [8] Srivastava H. M., 1989, UNIVALENT FUNCTIONS