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<p>In this manuscript, we present a novel hybrid system of fractional differential quasi-variational inequalities incorporating the Mittag–Leffler kernel. Leveraging fixed-point theory in Hilbert spaces, we prove the existence and uniqueness of solutions for this system. Notably, our model provides a unifying generalization of several existing systems in the literature. Furthermore, we analyze the stability of our system and demonstrate its practical relevance by applying it to a price control problem and a multi-agent optimization problem, showcasing its utility for nonlinear analysis.</p>

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Existence and stability analysis of fractional differential quasi-variational inequalities with illustrative applications

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月21日

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  • Hasanen A. Hammad,
  • Manuel De la Sen

摘要

In this manuscript, we present a novel hybrid system of fractional differential quasi-variational inequalities incorporating the Mittag–Leffler kernel. Leveraging fixed-point theory in Hilbert spaces, we prove the existence and uniqueness of solutions for this system. Notably, our model provides a unifying generalization of several existing systems in the literature. Furthermore, we analyze the stability of our system and demonstrate its practical relevance by applying it to a price control problem and a multi-agent optimization problem, showcasing its utility for nonlinear analysis.