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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:aymen.laadhari@ku.ac.ae

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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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Abstract

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.

Peer review status:ACCEPTED

11 May 2023Submitted to Mathematical Methods in the Applied Sciences
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11 May 2023Submission Checks Completed
11 May 2023Assigned to Editor
12 May 2023Review(s) Completed, Editorial Evaluation Pending
12 May 2023Reviewer(s) Assigned
20 May 2023Editorial Decision: Accept