Riemann-Liouville fractional derivative with varying arguments

Abstract

In this paper, we define the subclasses${\mathcal{V}}_{\delta }(A,B)$ and ${\mathcal{K}}_{\delta }(A,B)$ ofanalytic functions by using ${\mathrm{\Omega }}^{\delta }f(z)$. For functionsbelonging to these classes, we obtain coefficient estimates,distortion bounds and many more properties.