TITLE:
Integral Means of Univalent Solution for Fractional Differential Equation
AUTHORS:
Rabha W. Ibrahim, Maslina Darus
KEYWORDS:
Fractional Calculus; Subordination; Superordination; Univalent Solution; Fractional Differential Equation; Integral Mean
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.6,
June
26,
2012
ABSTRACT: By employing the Srivastava-Owa fractional operators, we consider a class of fractional differential equation in the unit disk. The existence of the univalent solution is founded by using the Schauder fixed point theorem while the uniqueness is obtained by using the Banach fixed point theorem. Moreover, the integral mean of these solutions is studied by applying the concept of the subordination.