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This study investigates the solution methodology for boundary value problems characterized by nonlinear implicit fractional order ordinary differential equations. By applying the fixed-point theorems of Banach and Krasnoselskii, the research explores the conditions under which solutions exist and are unique when fractional derivative boundary conditions are present. To demonstrate the practical utility of these theoretical results, a numerical example is presented. The outcomes enhance our comprehension of boundary value problems within the context of nonlinear fractional order ordinary differential equations and provide guidance on effectively addressing constraints related to fractional derivatives.

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On the Solutions of Two-Point Nonlinear Fractional Differential Equations with Multiple Fractional Boundary Conditions

  • 会议论文

  • 发表日期：

    2025年

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  • Yahia Awad,
  • Hussein Fakih,
  • Karim Amin,
  • Ragheb Mghames

摘要

This study investigates the solution methodology for boundary value problems characterized by nonlinear implicit fractional order ordinary differential equations. By applying the fixed-point theorems of Banach and Krasnoselskii, the research explores the conditions under which solutions exist and are unique when fractional derivative boundary conditions are present. To demonstrate the practical utility of these theoretical results, a numerical example is presented. The outcomes enhance our comprehension of boundary value problems within the context of nonlinear fractional order ordinary differential equations and provide guidance on effectively addressing constraints related to fractional derivatives.