On Solutions of a Linear Set-Valued Differential Equation with a Conformable Fractional Derivative

Abstract

The article introduces the definition of the conformable fractional derivative and the generalized conformable fractional derivative for set-valued mapping. A linear set-valued differential equation with a conformable fractional derivative and with a generalized conformable fractional derivative is considered.Some conditions for the existence of solutions are given, and the shape of the sections at each moment of time is obtained in an analytical form.