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Volume 32, Issue 3
Existence and Uniqueness of Positive Solutions for a System of Multi-Order Fractional Differential Equations

Qun Dai, Huilai Li & Suli Liu

DOI: 10.13447/j.1674-5647.2016.03.07

Commun. Math. Res., 32 (2016), pp. 249-258.

Published online: 2021-05

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  • 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.

  • Keywords

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

  • AMS Subject Headings

34A08, 35B44

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-32-249, author = {Dai , QunLi , Huilai and Liu , Suli}, title = {Existence and Uniqueness of Positive Solutions for a System of Multi-Order Fractional Differential Equations}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {32}, number = {3}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2016.03.07}, url = {http://global-sci.org/intro/article_detail/cmr/18896.html} }
TY - JOUR T1 - Existence and Uniqueness of Positive Solutions for a System of Multi-Order Fractional Differential Equations AU - Dai , Qun AU - Li , Huilai AU - Liu , Suli JO - Communications in Mathematical Research VL - 3 SP - 249 EP - 258 PY - 2021 DA - 2021/05 SN - 32 DO - http://doi.org/10.13447/j.1674-5647.2016.03.07 UR - https://global-sci.org/intro/article_detail/cmr/18896.html KW - fractional differential equation, Caputo fractional derivative, fixed point theorem, positive solution. AB -

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.

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