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<p>This paper investigates fractional Volterra–Fredholm integrodifferential equations with mixed nonlocal conditions—a class of equations with significant theoretical and practical relevance. The study rigorously establishes the existence of solutions using fixed-point theory and the Schauder fixed-point theorem. Furthermore, it examines the generalized Ulam–Hyers–Rassias stability of the obtained solutions. To validate the theoretical results, we present a detailed example demonstrating the applicability and effectiveness of our approach, supported by numerical simulations, tables, and figures to illustrate the findings.</p>

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Solvability and Ulam–Hyers–Rassias stability in fractional integrodifferential equations involving mixed nonlocal conditions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月30日

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  • Abdulrahman Sharif,
  • Maha M. Hamood,
  • Kirtiwant P. Ghadle

摘要

This paper investigates fractional Volterra–Fredholm integrodifferential equations with mixed nonlocal conditions—a class of equations with significant theoretical and practical relevance. The study rigorously establishes the existence of solutions using fixed-point theory and the Schauder fixed-point theorem. Furthermore, it examines the generalized Ulam–Hyers–Rassias stability of the obtained solutions. To validate the theoretical results, we present a detailed example demonstrating the applicability and effectiveness of our approach, supported by numerical simulations, tables, and figures to illustrate the findings.