Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and Systems-Reference-Cited by-同舟云学术

Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and Systems

Published:2022-01-22 Issue: Volume:2022 Page:1-9
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Aldawish Ibtisam¹^ORCID,Samet Bessem²^ORCID

Affiliation:

1. Department of Mathematics and Statistics, College of Science, IMSIU (Imam Mohammad Ibn Saud Islamic University), Riyadh, Saudi Arabia

2. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

In this paper, fractional differential inequalities and systems of fractional differential inequalities involving fractional derivatives in the sense of Caputo are investigated. Namely, necessary conditions for the existence of global solutions are obtained. Our approach is based on the test function method and some integral inequalities.

Funder

Al-Imam Muhammad Ibn Saud Islamic University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/4347755.pdf

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