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The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium
Institution:1. School of Mathematical and Informational Sciences, Yantai University, Yantai 264005, Shandong, People’s Republic of China;2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People’s Republic of China;3. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia
Abstract:In this paper, we establish the uniqueness of positive solution for a fractional model of turbulent flow in a porous medium by using the fixed point theorem of the mixed monotone operator. An example is also given to illustrate the application of the main result.
Keywords:Uniqueness  Fractional turbulent flow model  Mixed monotone operator
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