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A new nonlocal impulsive fractional differential hemivariational inclusions with an application to a frictional contact problem

Author

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  • Chen, Tao
  • Zhang, Yao-jia
  • Huang, Nan-jing
  • Xiao, Yi-bin

Abstract

This paper is addressed to the study of a novel impulsive fractional differential hemivariational inclusions (IFDHI) with a nonlocal condition, comprising an impulsive fractional differential inclusion (IFDI) with a nonlocal condition and a hemivariational inequality (HVI), within separable reflexive Banach spaces. Initially, we establish the unique solvability of the HVI by adopting the surjectivity theorem for set-valued mappings. Subsequently, we demonstrate that there exist mild solutions for the new IFDHI by utilizing the theory of measure of noncompactness (MNC) and fixed point theorem (FPT) for condensing set-valued mappings. Additionally, we employ our principal findings to establish the solvability of a new frictional contact problem (FCP) concerning an elastic body interacting with a foundation within a finite time interval, considering the temperature effect.

Suggested Citation

  • Chen, Tao & Zhang, Yao-jia & Huang, Nan-jing & Xiao, Yi-bin, 2025. "A new nonlocal impulsive fractional differential hemivariational inclusions with an application to a frictional contact problem," Applied Mathematics and Computation, Elsevier, vol. 490(C).
    • Handle: RePEc:eee:apmaco:v:490:y:2025:i:c:s0096300324006726
    DOI: 10.1016/j.amc.2024.129211
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    References listed on IDEAS

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    1. Zeng, Yue & Zhang, Yao-jia & Huang, Nan-jing, 2024. "A stochastic fractional differential variational inequality with Lévy jump and its application," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Žecová, Monika & Terpák, Ján, 2015. "Heat conduction modeling by using fractional-order derivatives," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 365-373.
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