Integral Means of Univalent Solution for Fractional Differential Equation

Rabha W. Ibrahim, Maslina Darus

School of Mathematical Sciences, Faculty of science and Technology, University Kebangsaan Malaysia, Bangi, Malaysia.

DOI: 10.4236/am.2012.36091                

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.

Keywords

Fractional Calculus; Subordination; Superordination; Univalent Solution; Fractional Differential Equation; Integral Mean

Conflicts of Interest

The authors declare no conflicts of interest.

References

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