Existence and Uniqueness of Positive Solutions for a System of Multi-order Fractional Differential Equations |
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| Institution: | 1. College of Science, Changchun University of Science and Technology, Changchun, 130022;2. School of Mathematics, Jilin University, Changchun, 130012 |
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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 equa-tions. 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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| Keywords: | fractional differential equation Caputo fractional derivative fixed point theorem positive solution |
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