Boundary fractional differential equation in a complex domain

被引：18

作者：

Ibrahim, Rabha W. ^{[1
]}

Jahangiri, Jay M. ^{[2
]}

机构：

[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia

[2] Kent State Univ, Inst Math Sci, Burton, OH 44021 USA

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

DZIOK-SRIVASTAVA OPERATOR; ANALYTIC-FUNCTIONS;

D O I：

10.1186/1687-2770-2014-66

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss univalent solutions of boundary fractional differential equations in a complex domain. The fractional operators are taken in the sense of the Srivastava-Owa calculus in the unit disk. The existence of subsolutions and supersolutions (maximal and minimal) is established. The existence of a unique univalent solution is imposed. Applications are constructed by making use of a transformation formula for fractional derivatives as well as generalized fractional derivatives.

引用

页数：11

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