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<p>This paper deals with the existence and uniqueness of solutions for a nonlinear hybrid integro-differential system involving the Caputo fractional derivative. The existence and uniqueness of solutions are established for the considered problem by using the Banach contraction principle and the Krasnoselskii fixed-point theorem. We also establish the Ulam-Hyers stability results for the addressed problem. Finally, we give an example to show the effectiveness of our main result. For the sake of completeness, we end the paper with a concluding remark.</p>

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Existence theory for higher order hybrid fractional integro-differential systems

  • 期刊论文

  • 发表日期：

    2026年5月6日

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  • Sombir Dhaniya,
  • Anoop Kumar,
  • Aziz Khan,
  • Thabet Abdeljawad

摘要

This paper deals with the existence and uniqueness of solutions for a nonlinear hybrid integro-differential system involving the Caputo fractional derivative. The existence and uniqueness of solutions are established for the considered problem by using the Banach contraction principle and the Krasnoselskii fixed-point theorem. We also establish the Ulam-Hyers stability results for the addressed problem. Finally, we give an example to show the effectiveness of our main result. For the sake of completeness, we end the paper with a concluding remark.