Comparison principles of fractional differential equations with non-local derivative and their applications

Comparison principles of fractional differential equations with non-local derivative and their applications

In this paper, we derive and prove a maximum principle for a linear fractional differential equation with non-local fractional derivative. The proof is based on an estimate of the non-local derivative of a function at its extreme points. A priori norm estimate and a uniqueness result are obtained fo...

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Bibliographic Details
Main Authors: Mohammed Al-Refai, Dumitru Baleanu
Format: Article
Language:English
Published: AIMS Press 2021-12-01
Series:AIMS Mathematics
Subjects:
fractional differential equations
maximum principle
fractional derivatives
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021088?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021088?viewType=HTML

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