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Existence of extremal solutions for a fractional compartment model

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Abstract

In this paper, we consider the existence of extremal solutions for a type of fractional compartment models. By use of a new comparison result, some new sufficient conditions for the existence of solutions are established by combining the monotone iterative technique and the methods of lower and upper solutions. Finally, an example is presented to illustrate the validity of our main results.

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Authors and Affiliations

  1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China

    Huiling Chen

  2. State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao, China

    Yujun Cui

Authors
  1. Huiling Chen
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  2. Yujun Cui
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Correspondence to Yujun Cui.

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This project was supported by the National Natural Science Foundation of China (11571207), the Shandong Natural Science Foundation (ZR2018MA011), the open project of key laboratory of Chongqing Normal University (No. CSSXKFKTM202003), and the Tai’shan Scholar Engineering Construction Fund of Shandong Province of China.

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Chen, H., Cui, Y. Existence of extremal solutions for a fractional compartment model. J. Appl. Math. Comput. 68, 941–951 (2022). https://doi.org/10.1007/s12190-021-01556-3

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  • DOI: https://doi.org/10.1007/s12190-021-01556-3

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