Implicit Solution of Two New Models of Gohar Fractional Logistic Differential Equations

Abstract

Two types of logistic fractional differential equations have been studies in this work. It also presents a new fractional
derivative formula which is called the Gohar fractional derivative (GFD). The principle goal of this work is finding new solutions for
each class in an implicit representation. The method used depends on the properties of the fractional derivative and some methods of
functional analysis, as we will present our study with illustrative examples.