On Inequalities and Filtration Associated with the Nonlinear Fractional Operator

Abstract

In this paper, we study a new filtration class MFα,βμ, associated with the filtration of infinitesimal generators, by using the nonlinear fractional differential operator and study certain properties, like sharp Fekete–Szegö inequalities and filtration problems.

Keywords

• infinitesimal generator
• Fekete–Szegö inequality
• semi-group
• differential subordination
• fractional differential operator