The existence of solutions of Hadamard fractional differential equations with integral and discrete boundary conditions on infinite interval

In this article, the properties of solutions of Hadamard fractional differential equations are investigated on an infinite interval. The equations are subject to integral and discrete boundary conditions. A new proper compactness criterion is introduced in a unique space. By applying the monotone it...

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Bibliographic Details
Published in:Electronic research archive 2024-03, Vol.32 (4), p.2286-2309
Main Authors: Liu, Jinheng, Zhang, Kemei, Xie, Xue-Jun
Format: Article
Language:English
Subjects:
error estimate
fractional derivative
infinite interval
monotone iterative
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Summary:In this article, the properties of solutions of Hadamard fractional differential equations are investigated on an infinite interval. The equations are subject to integral and discrete boundary conditions. A new proper compactness criterion is introduced in a unique space. By applying the monotone iterative technique, we have obtained two positive solutions. And, an error estimate is also shown at the end. This study innovatively uses a monotonic iterative approach to study Hadamard fractional boundary-value problems containing multiple fractional derivative terms on infinite intervals, and it enriches some of the existing conclusions. Meanwhile, it is potentially of practical significance in the research field of computational fluid dynamics related to blood flow problems and in the direction of the development of viscoelastic fluids.
ISSN:2688-1594
2688-1594
DOI:10.3934/era.2024104