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<p>We introduce a new class of periodic/anti-periodic type boundary conditions with respect to the initial and final segments of the given domain. Equipped with the proposed conditions, we discuss the existence of solutions for a fractional differential equation. We apply the standard tools of the fixed point theory to establish the desired results. Our results are novel in the given configuration and open a new avenue for boundary value problems subject to segmental type periodic/anti-periodic boundary conditions.</p>

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On a new class of segmental type periodic/anti-periodic fractional boundary value problems

  • 期刊论文

  • 发表日期：

    2025年10月28日

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  • Bashir Ahmad,
  • Rabab Alghamdi,
  • Ahmed Alsaedi

摘要

We introduce a new class of periodic/anti-periodic type boundary conditions with respect to the initial and final segments of the given domain. Equipped with the proposed conditions, we discuss the existence of solutions for a fractional differential equation. We apply the standard tools of the fixed point theory to establish the desired results. Our results are novel in the given configuration and open a new avenue for boundary value problems subject to segmental type periodic/anti-periodic boundary conditions.