Nonexistence results for a sequential fractional differential problem-Reference-Cited by-同舟云学术

Nonexistence results for a sequential fractional differential problem

Published:2023-06 Issue:15 Volume:46 Page:16305-16317
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Kassim Mohammed D.¹^ORCID,Alqahtani Mubarak²,Tatar Nasser‐Eddine³^ORCID,Laadhari Aymen⁴^ORCID

Affiliation:

1. Department of Basic Engineering Sciences, College of Engineering Imam Abdulrahman Bin Faisal University Dammam Saudi Arabia

2. Department of Physics, College of Science Imam Abdulrahman Bin Faisal University Dammam Saudi Arabia

3. Department of Mathematics and Statistics, Interdisciplinary Research Center for Intelligent Manufacturing and Robotics King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia

4. Department of Mathematics, College of Arts and Sciences Khalifa University Abu Dhabi United Arab Emirates

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.

Funder

Khalifa University of Science, Technology and Research

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9451

Reference32 articles.

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