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<p>The objective of this research is to establish specific adequate conditions aimed to guarantee the existence of weak solutions for various types of initial value problems, which involve variable order Hadamard fractional derivative. This is accomplished by employing Krasnoselskii’s type fixed point theorem and De Blasi measure of weak noncompactness. Furthermore, an illustrative example is presented to showcase our results.</p>

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Existence results for a variable order Hadamard fractional problem under weak topology features

  • 期刊论文

  • 发表日期：

    2026年5月5日

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  • Amor Fahem,
  • Aref Jeribi,
  • Kadda Maazouz,
  • Moussa Daif allah Zaak

摘要

The objective of this research is to establish specific adequate conditions aimed to guarantee the existence of weak solutions for various types of initial value problems, which involve variable order Hadamard fractional derivative. This is accomplished by employing Krasnoselskii’s type fixed point theorem and De Blasi measure of weak noncompactness. Furthermore, an illustrative example is presented to showcase our results.