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<p>This study analyzes a fractional boundary value problem involving nonlinear differential equations. The existence of solutions is established using a fixed-point theorem due to D. O’Regan, while uniqueness is ensured via the contraction mapping principle in Banach spaces. To support the analytical findings, numerical examples are presented, illustrating the effectiveness and reliability of the proposed framework.</p>

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Advanced analysis of \(\Psi \)-Caputo fractional derivative in multiple-point boundary value problems

  • 期刊论文

  • 发表日期：

    2025年5月24日

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  • R. Poovarasan,
  • V. Govindaraj

摘要

This study analyzes a fractional boundary value problem involving nonlinear differential equations. The existence of solutions is established using a fixed-point theorem due to D. O’Regan, while uniqueness is ensured via the contraction mapping principle in Banach spaces. To support the analytical findings, numerical examples are presented, illustrating the effectiveness and reliability of the proposed framework.