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<p>The aim of this paper is to study, by using mixed monotone operators and fixed point theory, the existence and uniqueness of positive mild solutions to a nonlinear fractional differential equation with infinite-point boundary value conditions. The boundary value problem is reduced to a fixed point equation involving the sum of a mixed monotone and a subhomogeneous operator. The abstract result is illustrated by an example involving a derivative of order 7/2.</p>

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Positive Mild Solutions of Fractional Differential Equations with Infinite-Point Boundary Value Conditions

  • 期刊论文

  • 发表日期：

    2026年7月17日

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  • Jürgen Appell,
  • Belén López,
  • Simon Reinwand,
  • Kishin Sadarangani

摘要

The aim of this paper is to study, by using mixed monotone operators and fixed point theory, the existence and uniqueness of positive mild solutions to a nonlinear fractional differential equation with infinite-point boundary value conditions. The boundary value problem is reduced to a fixed point equation involving the sum of a mixed monotone and a subhomogeneous operator. The abstract result is illustrated by an example involving a derivative of order 7/2.