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<p>In this manuscript, a fixed-point method is developed to address challenging classes of equations. The main contribution lies in the construction of a generalized contraction operator, which serves as the foundation for extending Darbo’s fixed-point theorem. This advancement significantly broadens the applicability of the theorem, enabling it to handle both hybrid differential equations and fractional hybrid differential equations formulated in Banach spaces. By establishing a rigorous and flexible analytical framework, the study provides an effective tool for examining these complex mathematical models and facilitates further investigation into their properties and solutions.</p>

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The role of fixed points and noncompactness measures in analyzing fractional integral equations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月30日

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  • Hasanen A. Hammad,
  • Doha A. Kattan

摘要

In this manuscript, a fixed-point method is developed to address challenging classes of equations. The main contribution lies in the construction of a generalized contraction operator, which serves as the foundation for extending Darbo’s fixed-point theorem. This advancement significantly broadens the applicability of the theorem, enabling it to handle both hybrid differential equations and fractional hybrid differential equations formulated in Banach spaces. By establishing a rigorous and flexible analytical framework, the study provides an effective tool for examining these complex mathematical models and facilitates further investigation into their properties and solutions.