Approximate iterative sequences for positive solutions of a Hadamard type fractional differential system involving Hadamard type fractional derivatives

Abstract

In this paper, we focus on a class of Hadamard type fractional differential system involving Hadamard type fractional derivatives on an infinite interval. By utilizing the monotone iterative technique and Banach's contraction mapping principle, some explicit monotone iterative sequences for approximating the extreme positive solutions and the unique positive solution for the system are constructed.

Keywords

• monotone iterative technique
• fractional differential equation
• hadamard type fractional derivative
• infinite interval