Boundary fractional differential equation in a complex domain

Boundary value problems

Jay M Jahangiri¹  Rabha W Ibrahim² 

[1] Institute of Mathematical Sciences, Kent State University, Burton, USA;Institute of Mathematical Sciences, University Malaya, Kuala Lumpur, Malaysia

关键词: Fractional Derivative;    Bounded Function;    Hypergeometric Function;    Positive Continuous Function;    Geometric Function Theory;   

DOI  :  10.1186/1687-2770-2014-66

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY