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<p>We study the solvability of the system to the mixed derivative and integral Erdélyi-Kober equations with fractional order of a function with respect to new development of fixed point theorem, where the operator is proposed to be compact on its space. Besides, we might demonstrate that the solution is bounded by a fractional entropy (entropy arrangement). Illustrative applications and conclusion are given to confirm our technical results.</p>

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Solvability of the system involving the mixed derivative and integral Erdélyi-Kober equations of fractional order

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月30日

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  • Abdallah Djaout,
  • Maamar Benbachir,
  • Mohammad Esmael Samei,
  • Mustapha Lakrib

摘要

We study the solvability of the system to the mixed derivative and integral Erdélyi-Kober equations with fractional order of a function with respect to new development of fixed point theorem, where the operator is proposed to be compact on its space. Besides, we might demonstrate that the solution is bounded by a fractional entropy (entropy arrangement). Illustrative applications and conclusion are given to confirm our technical results.