Existence and Uniqueness of Positive Solutions for a System of Multi-Order Fractional Differential Equations
Year: 2016
Author: Qun Dai, Huilai Li, Suli Liu
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 249–258
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2016.03.07
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 249–258
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: fractional differential equation Caputo fractional derivative fixed point theorem positive solution.