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<p>In this paper, we present some results on existence, uniqueness and Ulam stability for a class of problems for nonlinear implicit random fractional differential equations with Caputo tempered fractional derivative. For our proofs, we employ some suitable fixed point theorems. Finally, we provide some illustrative examples.</p>

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On boundary value problems with implicit random Caputo tempered fractional differential equations

  • 期刊论文

  • 发表日期：

    2025年1月29日

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  • Fouzia Bekada,
  • Abdelkrim Salim,
  • Mouffak Benchohra

摘要

In this paper, we present some results on existence, uniqueness and Ulam stability for a class of problems for nonlinear implicit random fractional differential equations with Caputo tempered fractional derivative. For our proofs, we employ some suitable fixed point theorems. Finally, we provide some illustrative examples.