Positive Solutions for a Fractional Thermostat Model via Sum Operators Methods

Year 2021, Volume: 9 Issue: 1, 176 - 182, 28.04.2021

Ling Bai Chengbo Zhaı

Abstract

In this paper, we consider a fractional thermostat model involving Caputo fractional derivatives. Based on recent fixed point theorems of sum operators on cones, we give the existence and uniqueness of positive solutions for the model and we can construct an iterative scheme to approximate the unique solution. In the last section, we list two concrete examples to illustrate our main results.

Keywords

fractional thermostat model, Caputo fractional derivative, Green's function

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