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<p>In this work, we investigate a class of fractional delay integro-differential equations of Caputo type subject to integral boundary conditions. Using the Burton-Kirk fixed point theorem, we establish sufficient conditions ensuring the existence of solutions, while uniqueness is verified via the Banach contraction principle. The framework involves fractional-order derivatives with delays and a Riemann-Liouville type integral term under nonlocal boundary constraints. To demonstrate the applicability of our results, a concrete example is provided, supported by numerical analysis and graphical representations for enhanced understanding.</p>

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Solvability of nonlocal boundary value problems for fractional delay integro-differential equations by using fixed-point technique

  • 期刊论文

  • 发表日期：

    2025年10月14日

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  • M. Latha Maheswari,
  • R. Nandhini,
  • V. Vijayakumar

摘要

In this work, we investigate a class of fractional delay integro-differential equations of Caputo type subject to integral boundary conditions. Using the Burton-Kirk fixed point theorem, we establish sufficient conditions ensuring the existence of solutions, while uniqueness is verified via the Banach contraction principle. The framework involves fractional-order derivatives with delays and a Riemann-Liouville type integral term under nonlocal boundary constraints. To demonstrate the applicability of our results, a concrete example is provided, supported by numerical analysis and graphical representations for enhanced understanding.