Existence and Uniqueness of Positive Solutions for a System of Multi-Order Fractional Differential Equations

Authors

  • Qun Dai
  • Huilai Li
  • Suli Liu

DOI:

https://doi.org/10.13447/j.1674-5647.2016.03.07

Keywords:

fractional differential equation, Caputo fractional derivative, fixed point theorem, positive solution.

Abstract

In this paper, we prove the existence and uniqueness of positive solutions for a system of multi-order fractional differential equations. The system is used to represent constitutive relation for viscoelastic model of fractional differential equations. Our results are based on the fixed point theorems of increasing operator and the cone theory, some illustrative examples are also presented.

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Published

2021-05-14

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Issue

Vol. 32 No. 3 (2016)

Section

Articles

How to Cite

Existence and Uniqueness of Positive Solutions for a System of Multi-Order Fractional Differential Equations. (2021). Communications in Mathematical Research, 32(3), 249-258. https://doi.org/10.13447/j.1674-5647.2016.03.07