Fractional calculus and Sinc methods View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-12

AUTHORS

Gerd Baumann, Frank Stenger

ABSTRACT

Fractional integrals, fractional derivatives, fractional integral equations, and fractional differential equations are numerically solved by Sinc methods. Sinc methods are able to deal with singularities of the weakly singular integral equations of Riemann-Liouville and Caputo type. The convergence of the numerical method is numerically examined and shows exponential behavior. Different examples are used to demonstrate the effective derivation of numerical solutions for different types of fractional differential and integral equations, linear and non-linear ones. Equations of mixed ordinary and fractional derivatives, integro-differential equations are solved using Sinc methods. We demonstrate that the numerical calculation needed in fractional calculus can be gained with high accuracy using Sinc methods. More... »

PAGES

568

Identifiers

URI

http://scigraph.springernature.com/pub.10.2478/s13540-011-0035-3

DOI

http://dx.doi.org/10.2478/s13540-011-0035-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1050350470


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/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "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"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Ulm", 
          "id": "https://www.grid.ac/institutes/grid.6582.9", 
          "name": [
            "Mathematics Department, German University in Cairo, New Cairo City, Egypt", 
            "Department of Mathematical Physics, University of Ulm, Albert-Einstein-Allee 11, D - 89069, Ulm, Germany"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Baumann", 
        "givenName": "Gerd", 
        "id": "sg:person.01247751074.51", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01247751074.51"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Utah", 
          "id": "https://www.grid.ac/institutes/grid.223827.e", 
          "name": [
            "School of Computing, University of Utah, 3414 Merrill Engineering Bldg., 84112, Salt Lake City, UT, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Stenger", 
        "givenName": "Frank", 
        "id": "sg:person.0732071774.59", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0732071774.59"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.cam.2006.07.017", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004066931"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01398686", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005072316", 
          "https://doi.org/10.1007/bf01398686"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01398686", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005072316", 
          "https://doi.org/10.1007/bf01398686"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/00411450008205866", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006505934"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10237-005-0011-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012224383", 
          "https://doi.org/10.1007/s10237-005-0011-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10237-005-0011-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012224383", 
          "https://doi.org/10.1007/s10237-005-0011-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.amc.2007.07.068", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012416412"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0025-5718-1995-1270624-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012617524"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01396489", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013730738", 
          "https://doi.org/10.1007/bf01396489"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0045-7825(98)00109-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014857097"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0893-9659(90)90042-a", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016030806"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1515/crll.1826.1.153", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017476425"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/cbo9780511569975.002", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017481809"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00879562", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019350154", 
          "https://doi.org/10.1007/bf00879562"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4020-6042-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019431047", 
          "https://doi.org/10.1007/978-1-4020-6042-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4020-6042-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019431047", 
          "https://doi.org/10.1007/978-1-4020-6042-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-2706-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021081631", 
          "https://doi.org/10.1007/978-1-4612-2706-9"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-2706-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021081631", 
          "https://doi.org/10.1007/978-1-4612-2706-9"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4020-6042-7_4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022241247", 
          "https://doi.org/10.1007/978-1-4020-6042-7_4"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4020-6042-7_4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022241247", 
          "https://doi.org/10.1007/978-1-4020-6042-7_4"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-14574-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022895029", 
          "https://doi.org/10.1007/978-3-642-14574-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-14574-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022895029", 
          "https://doi.org/10.1007/978-3-642-14574-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jmaa.2006.06.007", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026846375"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01462237", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028065308", 
          "https://doi.org/10.1007/bf01462237"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01462237", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028065308", 
          "https://doi.org/10.1007/bf01462237"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-015-8289-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029030517", 
          "https://doi.org/10.1007/978-94-015-8289-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-015-8289-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029030517", 
          "https://doi.org/10.1007/978-94-015-8289-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.physleta.2007.01.046", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029752951"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cnsns.2009.02.016", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030060464"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1033396932", 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1033396932", 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cma.2004.06.006", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035009682"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0377-0427(00)00348-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036760560"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/b106779", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041039099", 
          "https://doi.org/10.1007/b106779"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/b106779", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041039099", 
          "https://doi.org/10.1007/b106779"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0025-5718-1971-0301428-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041276457"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cam.2006.07.009", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044017268"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0025-5718-1983-0701626-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044552217"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1049132578", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-0-387-75894-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049132578", 
          "https://doi.org/10.1007/978-0-387-75894-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-0-387-75894-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049132578", 
          "https://doi.org/10.1007/978-0-387-75894-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jcp.2010.05.010", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051828559"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00607-003-0033-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052010589", 
          "https://doi.org/10.1007/s00607-003-0033-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1115/1.1448322", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062070078"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1115/1.2981167", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062099977"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1115/1.3167615", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062105202"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/1.9781611970852", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098556255"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/cbo9780511543234", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098787281"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/p614", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098932609"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2011-12", 
    "datePublishedReg": "2011-12-01", 
    "description": "Fractional integrals, fractional derivatives, fractional integral equations, and fractional differential equations are numerically solved by Sinc methods. Sinc methods are able to deal with singularities of the weakly singular integral equations of Riemann-Liouville and Caputo type. The convergence of the numerical method is numerically examined and shows exponential behavior. Different examples are used to demonstrate the effective derivation of numerical solutions for different types of fractional differential and integral equations, linear and non-linear ones. Equations of mixed ordinary and fractional derivatives, integro-differential equations are solved using Sinc methods. We demonstrate that the numerical calculation needed in fractional calculus can be gained with high accuracy using Sinc methods.", 
    "genre": "research_article", 
    "id": "sg:pub.10.2478/s13540-011-0035-3", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1047852", 
        "issn": [
          "1311-0454", 
          "1314-2224"
        ], 
        "name": "Fractional Calculus and Applied Analysis", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "4", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "14"
      }
    ], 
    "name": "Fractional calculus and Sinc methods", 
    "pagination": "568", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "efdab1a5014bbe9191cbf7419d6cb314fd06549ce3ed8c33f0e13fa2d91c7016"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.2478/s13540-011-0035-3"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1050350470"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.2478/s13540-011-0035-3", 
      "https://app.dimensions.ai/details/publication/pub.1050350470"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T16:41", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8669_00000508.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.2478/s13540-011-0035-3"
  }
]
 

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.10.2478/s13540-011-0035-3'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.2478/s13540-011-0035-3'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.2478/s13540-011-0035-3'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.2478/s13540-011-0035-3'


 

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

197 TRIPLES      21 PREDICATES      65 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.2478/s13540-011-0035-3 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author Nc956bfb1ee6049f4b0848ab701e954c6
4 schema:citation sg:pub.10.1007/978-0-387-75894-7
5 sg:pub.10.1007/978-1-4020-6042-7
6 sg:pub.10.1007/978-1-4020-6042-7_4
7 sg:pub.10.1007/978-1-4612-2706-9
8 sg:pub.10.1007/978-3-642-14574-2
9 sg:pub.10.1007/978-94-015-8289-6
10 sg:pub.10.1007/b106779
11 sg:pub.10.1007/bf00879562
12 sg:pub.10.1007/bf01396489
13 sg:pub.10.1007/bf01398686
14 sg:pub.10.1007/bf01462237
15 sg:pub.10.1007/s00607-003-0033-3
16 sg:pub.10.1007/s10237-005-0011-0
17 https://app.dimensions.ai/details/publication/pub.1033396932
18 https://app.dimensions.ai/details/publication/pub.1049132578
19 https://doi.org/10.1016/0893-9659(90)90042-a
20 https://doi.org/10.1016/j.amc.2007.07.068
21 https://doi.org/10.1016/j.cam.2006.07.009
22 https://doi.org/10.1016/j.cam.2006.07.017
23 https://doi.org/10.1016/j.cma.2004.06.006
24 https://doi.org/10.1016/j.cnsns.2009.02.016
25 https://doi.org/10.1016/j.jcp.2010.05.010
26 https://doi.org/10.1016/j.jmaa.2006.06.007
27 https://doi.org/10.1016/j.physleta.2007.01.046
28 https://doi.org/10.1016/s0045-7825(98)00109-1
29 https://doi.org/10.1016/s0377-0427(00)00348-4
30 https://doi.org/10.1017/cbo9780511543234
31 https://doi.org/10.1017/cbo9780511569975.002
32 https://doi.org/10.1080/00411450008205866
33 https://doi.org/10.1090/s0025-5718-1971-0301428-0
34 https://doi.org/10.1090/s0025-5718-1983-0701626-6
35 https://doi.org/10.1090/s0025-5718-1995-1270624-7
36 https://doi.org/10.1115/1.1448322
37 https://doi.org/10.1115/1.2981167
38 https://doi.org/10.1115/1.3167615
39 https://doi.org/10.1137/1.9781611970852
40 https://doi.org/10.1142/p614
41 https://doi.org/10.1515/crll.1826.1.153
42 schema:datePublished 2011-12
43 schema:datePublishedReg 2011-12-01
44 schema:description Fractional integrals, fractional derivatives, fractional integral equations, and fractional differential equations are numerically solved by Sinc methods. Sinc methods are able to deal with singularities of the weakly singular integral equations of Riemann-Liouville and Caputo type. The convergence of the numerical method is numerically examined and shows exponential behavior. Different examples are used to demonstrate the effective derivation of numerical solutions for different types of fractional differential and integral equations, linear and non-linear ones. Equations of mixed ordinary and fractional derivatives, integro-differential equations are solved using Sinc methods. We demonstrate that the numerical calculation needed in fractional calculus can be gained with high accuracy using Sinc methods.
45 schema:genre research_article
46 schema:inLanguage en
47 schema:isAccessibleForFree true
48 schema:isPartOf N44582d141c9245c1bf19b8f818115c5f
49 Nfd8676ec9ff44db3a1c745efff8d4b6b
50 sg:journal.1047852
51 schema:name Fractional calculus and Sinc methods
52 schema:pagination 568
53 schema:productId N7359d4f89c1748d08bc54e1ae9241abd
54 N7731c5fa0d014aa09a510f74a127efba
55 N834a7dfa6fc44fbf9585d7285fa4fb3c
56 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050350470
57 https://doi.org/10.2478/s13540-011-0035-3
58 schema:sdDatePublished 2019-04-10T16:41
59 schema:sdLicense https://scigraph.springernature.com/explorer/license/
60 schema:sdPublisher N05ae4eb6e9074750b8799c65ec4289a3
61 schema:url http://link.springer.com/10.2478/s13540-011-0035-3
62 sgo:license sg:explorer/license/
63 sgo:sdDataset articles
64 rdf:type schema:ScholarlyArticle
65 N05ae4eb6e9074750b8799c65ec4289a3 schema:name Springer Nature - SN SciGraph project
66 rdf:type schema:Organization
67 N36ee5a4c7c634be1b522d494185b7073 rdf:first sg:person.0732071774.59
68 rdf:rest rdf:nil
69 N44582d141c9245c1bf19b8f818115c5f schema:volumeNumber 14
70 rdf:type schema:PublicationVolume
71 N7359d4f89c1748d08bc54e1ae9241abd schema:name dimensions_id
72 schema:value pub.1050350470
73 rdf:type schema:PropertyValue
74 N7731c5fa0d014aa09a510f74a127efba schema:name doi
75 schema:value 10.2478/s13540-011-0035-3
76 rdf:type schema:PropertyValue
77 N834a7dfa6fc44fbf9585d7285fa4fb3c schema:name readcube_id
78 schema:value efdab1a5014bbe9191cbf7419d6cb314fd06549ce3ed8c33f0e13fa2d91c7016
79 rdf:type schema:PropertyValue
80 Nc956bfb1ee6049f4b0848ab701e954c6 rdf:first sg:person.01247751074.51
81 rdf:rest N36ee5a4c7c634be1b522d494185b7073
82 Nfd8676ec9ff44db3a1c745efff8d4b6b schema:issueNumber 4
83 rdf:type schema:PublicationIssue
84 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
85 schema:name Mathematical Sciences
86 rdf:type schema:DefinedTerm
87 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
88 schema:name Pure Mathematics
89 rdf:type schema:DefinedTerm
90 sg:journal.1047852 schema:issn 1311-0454
91 1314-2224
92 schema:name Fractional Calculus and Applied Analysis
93 rdf:type schema:Periodical
94 sg:person.01247751074.51 schema:affiliation https://www.grid.ac/institutes/grid.6582.9
95 schema:familyName Baumann
96 schema:givenName Gerd
97 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01247751074.51
98 rdf:type schema:Person
99 sg:person.0732071774.59 schema:affiliation https://www.grid.ac/institutes/grid.223827.e
100 schema:familyName Stenger
101 schema:givenName Frank
102 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0732071774.59
103 rdf:type schema:Person
104 sg:pub.10.1007/978-0-387-75894-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049132578
105 https://doi.org/10.1007/978-0-387-75894-7
106 rdf:type schema:CreativeWork
107 sg:pub.10.1007/978-1-4020-6042-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019431047
108 https://doi.org/10.1007/978-1-4020-6042-7
109 rdf:type schema:CreativeWork
110 sg:pub.10.1007/978-1-4020-6042-7_4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022241247
111 https://doi.org/10.1007/978-1-4020-6042-7_4
112 rdf:type schema:CreativeWork
113 sg:pub.10.1007/978-1-4612-2706-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021081631
114 https://doi.org/10.1007/978-1-4612-2706-9
115 rdf:type schema:CreativeWork
116 sg:pub.10.1007/978-3-642-14574-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022895029
117 https://doi.org/10.1007/978-3-642-14574-2
118 rdf:type schema:CreativeWork
119 sg:pub.10.1007/978-94-015-8289-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029030517
120 https://doi.org/10.1007/978-94-015-8289-6
121 rdf:type schema:CreativeWork
122 sg:pub.10.1007/b106779 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041039099
123 https://doi.org/10.1007/b106779
124 rdf:type schema:CreativeWork
125 sg:pub.10.1007/bf00879562 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019350154
126 https://doi.org/10.1007/bf00879562
127 rdf:type schema:CreativeWork
128 sg:pub.10.1007/bf01396489 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013730738
129 https://doi.org/10.1007/bf01396489
130 rdf:type schema:CreativeWork
131 sg:pub.10.1007/bf01398686 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005072316
132 https://doi.org/10.1007/bf01398686
133 rdf:type schema:CreativeWork
134 sg:pub.10.1007/bf01462237 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028065308
135 https://doi.org/10.1007/bf01462237
136 rdf:type schema:CreativeWork
137 sg:pub.10.1007/s00607-003-0033-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052010589
138 https://doi.org/10.1007/s00607-003-0033-3
139 rdf:type schema:CreativeWork
140 sg:pub.10.1007/s10237-005-0011-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012224383
141 https://doi.org/10.1007/s10237-005-0011-0
142 rdf:type schema:CreativeWork
143 https://app.dimensions.ai/details/publication/pub.1033396932 schema:CreativeWork
144 https://app.dimensions.ai/details/publication/pub.1049132578 schema:CreativeWork
145 https://doi.org/10.1016/0893-9659(90)90042-a schema:sameAs https://app.dimensions.ai/details/publication/pub.1016030806
146 rdf:type schema:CreativeWork
147 https://doi.org/10.1016/j.amc.2007.07.068 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012416412
148 rdf:type schema:CreativeWork
149 https://doi.org/10.1016/j.cam.2006.07.009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044017268
150 rdf:type schema:CreativeWork
151 https://doi.org/10.1016/j.cam.2006.07.017 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004066931
152 rdf:type schema:CreativeWork
153 https://doi.org/10.1016/j.cma.2004.06.006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035009682
154 rdf:type schema:CreativeWork
155 https://doi.org/10.1016/j.cnsns.2009.02.016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030060464
156 rdf:type schema:CreativeWork
157 https://doi.org/10.1016/j.jcp.2010.05.010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051828559
158 rdf:type schema:CreativeWork
159 https://doi.org/10.1016/j.jmaa.2006.06.007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026846375
160 rdf:type schema:CreativeWork
161 https://doi.org/10.1016/j.physleta.2007.01.046 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029752951
162 rdf:type schema:CreativeWork
163 https://doi.org/10.1016/s0045-7825(98)00109-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014857097
164 rdf:type schema:CreativeWork
165 https://doi.org/10.1016/s0377-0427(00)00348-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036760560
166 rdf:type schema:CreativeWork
167 https://doi.org/10.1017/cbo9780511543234 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098787281
168 rdf:type schema:CreativeWork
169 https://doi.org/10.1017/cbo9780511569975.002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017481809
170 rdf:type schema:CreativeWork
171 https://doi.org/10.1080/00411450008205866 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006505934
172 rdf:type schema:CreativeWork
173 https://doi.org/10.1090/s0025-5718-1971-0301428-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041276457
174 rdf:type schema:CreativeWork
175 https://doi.org/10.1090/s0025-5718-1983-0701626-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044552217
176 rdf:type schema:CreativeWork
177 https://doi.org/10.1090/s0025-5718-1995-1270624-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012617524
178 rdf:type schema:CreativeWork
179 https://doi.org/10.1115/1.1448322 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062070078
180 rdf:type schema:CreativeWork
181 https://doi.org/10.1115/1.2981167 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062099977
182 rdf:type schema:CreativeWork
183 https://doi.org/10.1115/1.3167615 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062105202
184 rdf:type schema:CreativeWork
185 https://doi.org/10.1137/1.9781611970852 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098556255
186 rdf:type schema:CreativeWork
187 https://doi.org/10.1142/p614 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098932609
188 rdf:type schema:CreativeWork
189 https://doi.org/10.1515/crll.1826.1.153 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017476425
190 rdf:type schema:CreativeWork
191 https://www.grid.ac/institutes/grid.223827.e schema:alternateName University of Utah
192 schema:name School of Computing, University of Utah, 3414 Merrill Engineering Bldg., 84112, Salt Lake City, UT, USA
193 rdf:type schema:Organization
194 https://www.grid.ac/institutes/grid.6582.9 schema:alternateName University of Ulm
195 schema:name Department of Mathematical Physics, University of Ulm, Albert-Einstein-Allee 11, D - 89069, Ulm, Germany
196 Mathematics Department, German University in Cairo, New Cairo City, Egypt
197 rdf:type schema:Organization
 




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


...