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Non-existence Results for a Sequential Fractional Differential Problem
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  • Aymen Laadhari,
  • Mohammed Kassim,
  • Mubarak Alqahtani,
  • Nasser-eddine Tatar
Aymen Laadhari
Khalifa University Libraries

Corresponding Author:[email protected]

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Mohammed Kassim
Imam Abdulrahman Bin Faisal University
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Mubarak Alqahtani
Imam Abdulrahman Bin Faisal University
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Nasser-eddine Tatar
King Fahd University of Petroleum & Minerals
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In this paper, we study a class of sequential fractional differential inequalities involving Caputo fractional derivatives with different orders. The nonexistence of nontrivial global solutions is investigated in a suitable space via the test function technique and some properties of fractional integrals. Our results are supported by numerical examples.
11 May 2023Submitted to Mathematical Methods in the Applied Sciences
11 May 2023Assigned to Editor
11 May 2023Submission Checks Completed
12 May 2023Review(s) Completed, Editorial Evaluation Pending
12 May 2023Reviewer(s) Assigned
20 May 2023Editorial Decision: Accept