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A fractional nonlinear evolutionary delay system driven by a hemi-variational inequality in Banach spaces

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Abstract

This article deals with a new fractional nonlinear delay evolution system driven by a hemi-variational inequality in a Banach space. Utilizing the KKM theorem, a result concerned with the upper semicontinuity and measurability of the solution set of a hemivariational inequality is established. By using a fixed point theorem for a condensing set-valued map, the nonemptiness and compactness of the set of mild solutions are also obtained for such a system under mild conditions. Finally, an example is presented to illustrate our main results.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, China

    Yunhua Weng, Xuesong Li & Nanjing Huang

Authors
  1. Yunhua Weng
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  2. Xuesong Li
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  3. Nanjing Huang
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Corresponding author

Correspondence to Nanjing Huang.

Additional information

This work was supported by the National Natural Science Foundation of China (11471230, 11671282).

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Weng, Y., Li, X. & Huang, N. A fractional nonlinear evolutionary delay system driven by a hemi-variational inequality in Banach spaces. Acta Math Sci 41, 187–206 (2021). https://doi.org/10.1007/s10473-021-0111-7

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  • DOI: https://doi.org/10.1007/s10473-021-0111-7

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