Fractional boundary stabilization for a coupled system of wave equations View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2021-04-12

AUTHORS

Mokhtar Kerdache, Mhamed Kesri, Abbes Benaissa

ABSTRACT

In this paper,we consider a system of a coupled wave equations in the presence of a boundary control of fractional derivative type. We prove well-posedness by using the semigroup theory. Also we establish an optimal decay result by frequency domain method and Borichev-Tomilov theorem.

PAGES

121-148

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11565-021-00362-w

DOI

http://dx.doi.org/10.1007/s11565-021-00362-w

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1137145293


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Laboratory of Dynamical Systems, U.S.T.H.B University, P. O. Box 32, 16111, Algiers, Algeria", 
          "id": "http://www.grid.ac/institutes/None", 
          "name": [
            "Laboratory of Dynamical Systems, U.S.T.H.B University, P. O. Box 32, 16111, Algiers, Algeria"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Kerdache", 
        "givenName": "Mokhtar", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Laboratory of Dynamical Systems, U.S.T.H.B University, P. O. Box 32, 16111, Algiers, Algeria", 
          "id": "http://www.grid.ac/institutes/None", 
          "name": [
            "Laboratory of Dynamical Systems, U.S.T.H.B University, P. O. Box 32, 16111, Algiers, Algeria"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Kesri", 
        "givenName": "Mhamed", 
        "id": "sg:person.010663312353.31", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010663312353.31"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Laboratory of Analysis and Control of PDEs, Djillali Liabes University, P. O. Box 89, 22000, Sidi Bel Abbes, Algeria", 
          "id": "http://www.grid.ac/institutes/grid.442529.c", 
          "name": [
            "Laboratory of Analysis and Control of PDEs, Djillali Liabes University, P. O. Box 89, 22000, Sidi Bel Abbes, Algeria"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Benaissa", 
        "givenName": "Abbes", 
        "id": "sg:person.013354557341.59", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013354557341.59"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/s00208-009-0439-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003317148", 
          "https://doi.org/10.1007/s00208-009-0439-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4471-0419-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012846453", 
          "https://doi.org/10.1007/978-1-4471-0419-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-5561-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042930842", 
          "https://doi.org/10.1007/978-1-4612-5561-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00233-009-9197-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016392265", 
          "https://doi.org/10.1007/s00233-009-9197-2"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2021-04-12", 
    "datePublishedReg": "2021-04-12", 
    "description": "In this paper,we consider a system of a coupled wave equations in the presence of a boundary control of fractional derivative type. We prove well-posedness by using the semigroup theory. Also we establish an optimal decay result by frequency domain method and Borichev-Tomilov theorem.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/s11565-021-00362-w", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136062", 
        "issn": [
          "0430-3202", 
          "1827-1510"
        ], 
        "name": "Annali dell' Universit\u00e0 di Ferrara", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "67"
      }
    ], 
    "keywords": [
      "wave equation", 
      "fractional derivative type", 
      "semigroup theory", 
      "boundary control", 
      "optimal decay results", 
      "boundary stabilization", 
      "frequency domain method", 
      "derivative type", 
      "domain method", 
      "decay results", 
      "equations", 
      "posedness", 
      "theorem", 
      "theory", 
      "system", 
      "stabilization", 
      "results", 
      "control", 
      "types", 
      "presence", 
      "method", 
      "paper", 
      "Borichev-Tomilov theorem", 
      "Fractional boundary stabilization"
    ], 
    "name": "Fractional boundary stabilization for a coupled system of wave equations", 
    "pagination": "121-148", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1137145293"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s11565-021-00362-w"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s11565-021-00362-w", 
      "https://app.dimensions.ai/details/publication/pub.1137145293"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-01-01T19:02", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/article/article_903.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/s11565-021-00362-w"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s11565-021-00362-w'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s11565-021-00362-w'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11565-021-00362-w'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11565-021-00362-w'


 

This table displays all metadata directly associated to this object as RDF triples.

114 TRIPLES      22 PREDICATES      53 URIs      41 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s11565-021-00362-w schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N921f6cbf473f4c4295494d7e6ee648a5
4 schema:citation sg:pub.10.1007/978-1-4471-0419-3
5 sg:pub.10.1007/978-1-4612-5561-1
6 sg:pub.10.1007/s00208-009-0439-0
7 sg:pub.10.1007/s00233-009-9197-2
8 schema:datePublished 2021-04-12
9 schema:datePublishedReg 2021-04-12
10 schema:description In this paper,we consider a system of a coupled wave equations in the presence of a boundary control of fractional derivative type. We prove well-posedness by using the semigroup theory. Also we establish an optimal decay result by frequency domain method and Borichev-Tomilov theorem.
11 schema:genre article
12 schema:inLanguage en
13 schema:isAccessibleForFree false
14 schema:isPartOf N2d437f8af8a546a38196d81b1df639bd
15 Nbcd57f54c9834c75a6f204f640152bbc
16 sg:journal.1136062
17 schema:keywords Borichev-Tomilov theorem
18 Fractional boundary stabilization
19 boundary control
20 boundary stabilization
21 control
22 decay results
23 derivative type
24 domain method
25 equations
26 fractional derivative type
27 frequency domain method
28 method
29 optimal decay results
30 paper
31 posedness
32 presence
33 results
34 semigroup theory
35 stabilization
36 system
37 theorem
38 theory
39 types
40 wave equation
41 schema:name Fractional boundary stabilization for a coupled system of wave equations
42 schema:pagination 121-148
43 schema:productId N18faf1dcf47e4d54b84d89b165744a35
44 N1cbe7d4af5514fecbabcf81f95437bfd
45 schema:sameAs https://app.dimensions.ai/details/publication/pub.1137145293
46 https://doi.org/10.1007/s11565-021-00362-w
47 schema:sdDatePublished 2022-01-01T19:02
48 schema:sdLicense https://scigraph.springernature.com/explorer/license/
49 schema:sdPublisher Nd4c059dbcb5847a9b890a3fd6a2876e5
50 schema:url https://doi.org/10.1007/s11565-021-00362-w
51 sgo:license sg:explorer/license/
52 sgo:sdDataset articles
53 rdf:type schema:ScholarlyArticle
54 N18faf1dcf47e4d54b84d89b165744a35 schema:name doi
55 schema:value 10.1007/s11565-021-00362-w
56 rdf:type schema:PropertyValue
57 N1cbe7d4af5514fecbabcf81f95437bfd schema:name dimensions_id
58 schema:value pub.1137145293
59 rdf:type schema:PropertyValue
60 N2d437f8af8a546a38196d81b1df639bd schema:issueNumber 1
61 rdf:type schema:PublicationIssue
62 N4c63918bdf154c968d9bc10811da50a1 schema:affiliation grid-institutes:None
63 schema:familyName Kerdache
64 schema:givenName Mokhtar
65 rdf:type schema:Person
66 N921f6cbf473f4c4295494d7e6ee648a5 rdf:first N4c63918bdf154c968d9bc10811da50a1
67 rdf:rest Ncc75029887e143f2b7bf977aa44dc321
68 Nbcd57f54c9834c75a6f204f640152bbc schema:volumeNumber 67
69 rdf:type schema:PublicationVolume
70 Ncc75029887e143f2b7bf977aa44dc321 rdf:first sg:person.010663312353.31
71 rdf:rest Nd31c3f1f788c4479a72e9a7c713358b7
72 Nd31c3f1f788c4479a72e9a7c713358b7 rdf:first sg:person.013354557341.59
73 rdf:rest rdf:nil
74 Nd4c059dbcb5847a9b890a3fd6a2876e5 schema:name Springer Nature - SN SciGraph project
75 rdf:type schema:Organization
76 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
77 schema:name Mathematical Sciences
78 rdf:type schema:DefinedTerm
79 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
80 schema:name Pure Mathematics
81 rdf:type schema:DefinedTerm
82 sg:journal.1136062 schema:issn 0430-3202
83 1827-1510
84 schema:name Annali dell' Università di Ferrara
85 schema:publisher Springer Nature
86 rdf:type schema:Periodical
87 sg:person.010663312353.31 schema:affiliation grid-institutes:None
88 schema:familyName Kesri
89 schema:givenName Mhamed
90 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010663312353.31
91 rdf:type schema:Person
92 sg:person.013354557341.59 schema:affiliation grid-institutes:grid.442529.c
93 schema:familyName Benaissa
94 schema:givenName Abbes
95 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013354557341.59
96 rdf:type schema:Person
97 sg:pub.10.1007/978-1-4471-0419-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012846453
98 https://doi.org/10.1007/978-1-4471-0419-3
99 rdf:type schema:CreativeWork
100 sg:pub.10.1007/978-1-4612-5561-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042930842
101 https://doi.org/10.1007/978-1-4612-5561-1
102 rdf:type schema:CreativeWork
103 sg:pub.10.1007/s00208-009-0439-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003317148
104 https://doi.org/10.1007/s00208-009-0439-0
105 rdf:type schema:CreativeWork
106 sg:pub.10.1007/s00233-009-9197-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016392265
107 https://doi.org/10.1007/s00233-009-9197-2
108 rdf:type schema:CreativeWork
109 grid-institutes:None schema:alternateName Laboratory of Dynamical Systems, U.S.T.H.B University, P. O. Box 32, 16111, Algiers, Algeria
110 schema:name Laboratory of Dynamical Systems, U.S.T.H.B University, P. O. Box 32, 16111, Algiers, Algeria
111 rdf:type schema:Organization
112 grid-institutes:grid.442529.c schema:alternateName Laboratory of Analysis and Control of PDEs, Djillali Liabes University, P. O. Box 89, 22000, Sidi Bel Abbes, Algeria
113 schema:name Laboratory of Analysis and Control of PDEs, Djillali Liabes University, P. O. Box 89, 22000, Sidi Bel Abbes, Algeria
114 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...