A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator

Abstract

The main aim of the present paper is to obtain a new class of multivalent functions which is defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator.We study the region of starlikeness and convexity of the class Ω p (α, β, γ). Also we apply the Fractional calculus techniques to obtain the applications of the class Ω p (α, β, γ). Finally, the familiar concept of δ-neighborhoods of p-valent functions for above mentioned class are employed.Subject class (2010) : Primary 26A33, Secondary 30C45.

General fractional calculus in non-singular power-law kernel applied to model anomalous diffusion phenomena in heat transfer problems

“…As one of important branches of fractional derivatives (FD) [1][2][3][4][5], the general fractional derivatives (GFD) have played an important role in being applied in mathematics and physics, see [6][7][8][9][10] and the cited references therein. For instance, the general evolution equation involving the general fractional calculus (GFC) was discussed in [11].…”