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<p>The present paper is devoted to discussing a class of nonlinear Caputo-type fractional integro-differential equations with two-point type boundary value conditions. We investigate the existence and uniqueness of the solutions by virtue of the classical Leray-Schauder alternative principle and the Banach contraction principle. Furthermore, by means of a novel Gronwall-type inequality, we prove the Hyers-Ulam stability of boundary value problems of multi-term Caputo fractional differential equations. Finally, some numerical examples are given to illustrate the results.</p>

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Existence and Hyers-Ulam stability for boundary value problems of multi-term Caputo fractional integro-differential equations

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  • 出版模式：

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  • 发表日期：

    2026年1月21日

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  • Chahra Kechar,
  • Ahmed A. Hamoud,
  • Abdelouaheb Ardjouni,
  • Homan Emadifar,
  • Karim K. Ahmed

摘要

The present paper is devoted to discussing a class of nonlinear Caputo-type fractional integro-differential equations with two-point type boundary value conditions. We investigate the existence and uniqueness of the solutions by virtue of the classical Leray-Schauder alternative principle and the Banach contraction principle. Furthermore, by means of a novel Gronwall-type inequality, we prove the Hyers-Ulam stability of boundary value problems of multi-term Caputo fractional differential equations. Finally, some numerical examples are given to illustrate the results.