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R. W. Ibrahim and M. Darus, “Subordination and Superordination for Analytic Functions Involving Fractional Integral Operator,” Complex Variables and Elliptic Equations, Vol. 53, No. 11, 2008, pp. 1021-1031. doi:10.1080/17476930802429131

has been cited by the following article:

• 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.