Stability and Controllability Study for Mixed Integral Fractional Delay Dynamic Systems Endowed with Impulsive Effects on Time Scales
dc.contributor.author | Hammad, Hasanen A. | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2023-01-23T14:52:53Z | |
dc.date.available | 2023-01-23T14:52:53Z | |
dc.date.issued | 2023-01-13 | |
dc.identifier.citation | Fractal and Fractional 7(1) : (2023) // Article ID 92 | es_ES |
dc.identifier.issn | 2504-3110 | |
dc.identifier.uri | http://hdl.handle.net/10810/59415 | |
dc.description.abstract | In this article, we investigate a novel class of mixed integral fractional delay dynamic systems with impulsive effects on time scales. Also, fixed-point techniques are applied to study the existence and uniqueness of a solution to the considered systems. Furthermore, sufficient conditions for Ulam–Hyers stability and controllability of the considered systems are established. It turns out that controllability is a very relevant property in dynamic systems and also in differential equations since, if controllability holds, then the solution of a system of differential equations also holds. Finally, an illustrative example of the obtained results is provided. | es_ES |
dc.description.sponsorship | This work was supported in part by the Basque Government under Grant IT1555-22. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | controllability | es_ES |
dc.subject | generalized Ulam-Hyers stability | es_ES |
dc.subject | time scale | es_ES |
dc.subject | impulsive effect | es_ES |
dc.subject | fixed point technique | es_ES |
dc.subject | Leray–Schauder theorem | es_ES |
dc.title | Stability and Controllability Study for Mixed Integral Fractional Delay Dynamic Systems Endowed with Impulsive Effects on Time Scales | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2023-01-20T14:22:52Z | |
dc.rights.holder | © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2504-3110/7/1/92 | es_ES |
dc.identifier.doi | 10.3390/fractalfract7010092 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).