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https://doi.org/10.1007/978-98...
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Extremal Mild Solutions of Hilfer Fractional Impulsive Systems

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 01 Jan 2021Embargo end date: 01 Jan 2020 English Publisher:Springer Singapore
Authors: Raghavan, Divya; Nagarajan, Sukavanam;

doi: 10.1007/978-981-16-8177-6_5 , 10.48550/arxiv.2011.11434

arXiv: 2011.11434

Extremal Mild Solutions of Hilfer Fractional Impulsive Systems

Abstract

The well established monotone iterative technique that is used to study the existence and uniqueness of fractional impulsive system is extended to Hilfer fractional order in this paper. The results are derived by using the method of upper and lower solution and Gronwall inequality. Also, conditions on non-compactness of measure is used effectively to prove the main result.

10 pages

Keywords

Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control, 26A33, 34K30, 34K45, 47D06

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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