Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/30796
Title: | Analysis of Hilfer fractional integro-differential equations with almost sectorial operators |
Author: | Karthikeyan, Kulandhaivel Debbouche, Amar Torres, Delfim F. M. |
Keywords: | Hilfer fractional derivatives Mild solutions Almost sectorial operators Measure of non-compactness |
Issue Date: | Mar-2021 |
Publisher: | MDPI |
Abstract: | In this work, we investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove our results by applying Schauder’s fixed point technique. Moreover, we show the fundamental properties of the representation of the solution by discussing two cases related to the associated semigroup. For that, we consider compactness and noncompactness properties, respectively. Furthermore, an example is given to illustrate the obtained theory. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/30796 |
DOI: | 10.3390/fractalfract5010022 |
Publisher Version: | https://www.mdpi.com/1026134 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[477]Karthikeyan_Debbouche_Torres.pdf | 312.98 kB | Adobe PDF | View/Open |
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