Ontology type: schema:ScholarlyArticle
2021-11-29
AUTHORSQu Haidong, Mati ur Rahman, Muhammad Arfan, Mehdi Salimi, Soheil Salahshour, Ali Ahmadian
ABSTRACTThe current paper analyzed a fractal–fractional mathematical model of typhoid to study the dynamics of fever disease incorporating protection against infection. The considered model is investigated into fractional-order and fractal dimension in sense of Caputo derivative. The existence theory of the considered model is determined and the uniqueness of the solution by the approach of fixed point theorem. Furthermore, the Ulam–Hyres stability is derived for the considered system by perturbing the problem with a small factor. The non-integer order model is evaluated numerically by fractional Adams–Bashforth iterative techniques and compares the results of fractional order and fractal dimension with integer order. More... »
PAGES1-10
http://scigraph.springernature.com/pub.10.1007/s00366-021-01536-y
DOIhttp://dx.doi.org/10.1007/s00366-021-01536-y
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1143461111
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/2008/0102",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Applied Mathematics",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "Department of Mathematics, Hanshan Normal University, 515041, Chaozhou, People\u2019s Republic of China",
"id": "http://www.grid.ac/institutes/grid.411979.3",
"name": [
"Department of Mathematics, Hanshan Normal University, 515041, Chaozhou, People\u2019s Republic of China"
],
"type": "Organization"
},
"familyName": "Haidong",
"givenName": "Qu",
"id": "sg:person.015257724504.49",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015257724504.49"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, People\u2019s Republic of China",
"id": "http://www.grid.ac/institutes/grid.16821.3c",
"name": [
"Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, People\u2019s Republic of China"
],
"type": "Organization"
},
"familyName": "ur Rahman",
"givenName": "Mati",
"id": "sg:person.014033020412.30",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014033020412.30"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Mathematics, University of Malakand, 18000, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan",
"id": "http://www.grid.ac/institutes/grid.440567.4",
"name": [
"Department of Mathematics, University of Malakand, 18000, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan"
],
"type": "Organization"
},
"familyName": "Arfan",
"givenName": "Muhammad",
"id": "sg:person.07550263251.66",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07550263251.66"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Mathematics and Statistics, St. Francis Xavier University, Antigonish, NS, Canada",
"id": "http://www.grid.ac/institutes/grid.264060.6",
"name": [
"Department of Mathematics and Statistics, St. Francis Xavier University, Antigonish, NS, Canada"
],
"type": "Organization"
},
"familyName": "Salimi",
"givenName": "Mehdi",
"id": "sg:person.07717322767.79",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07717322767.79"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Faculty of Engineering and Natural Sciences, Bahcesehir University, 34349, Istanbul, Turkey",
"id": "http://www.grid.ac/institutes/grid.10359.3e",
"name": [
"Faculty of Engineering and Natural Sciences, Bahcesehir University, 34349, Istanbul, Turkey"
],
"type": "Organization"
},
"familyName": "Salahshour",
"givenName": "Soheil",
"id": "sg:person.013433456761.66",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013433456761.66"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey",
"id": "http://www.grid.ac/institutes/None",
"name": [
"Institute of IR 4.0, The National University of Malaysia, 43600, Bangi, Selangor, Malaysia",
"Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey"
],
"type": "Organization"
},
"familyName": "Ahmadian",
"givenName": "Ali",
"id": "sg:person.014700757673.35",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014700757673.35"
],
"type": "Person"
}
],
"citation": [
{
"id": "sg:pub.10.1038/s41598-020-79139-8",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1134388331",
"https://doi.org/10.1038/s41598-020-79139-8"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1140/epjp/i2018-11934-y",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1101133640",
"https://doi.org/10.1140/epjp/i2018-11934-y"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13662-020-03162-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1134298121",
"https://doi.org/10.1186/s13662-020-03162-2"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1186/s13660-021-02557-3",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1135005161",
"https://doi.org/10.1186/s13660-021-02557-3"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s40435-020-00671-6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1129684885",
"https://doi.org/10.1007/s40435-020-00671-6"
],
"type": "CreativeWork"
}
],
"datePublished": "2021-11-29",
"datePublishedReg": "2021-11-29",
"description": "The current paper analyzed a fractal\u2013fractional mathematical model of typhoid to study the dynamics of fever disease incorporating protection against infection. The considered model is investigated into fractional-order and fractal dimension in sense of Caputo derivative. The existence theory of the considered model is determined and the uniqueness of the solution by the approach of fixed point theorem. Furthermore, the Ulam\u2013Hyres stability is derived for the considered system by perturbing the problem with a small factor. The non-integer order model is evaluated numerically by fractional Adams\u2013Bashforth iterative techniques and compares the results of fractional order and fractal dimension with integer order.",
"genre": "article",
"id": "sg:pub.10.1007/s00366-021-01536-y",
"inLanguage": "en",
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1041785",
"issn": [
"0177-0667",
"1435-5663"
],
"name": "Engineering with Computers",
"publisher": "Springer Nature",
"type": "Periodical"
}
],
"keywords": [
"Ulam-Hyres stability",
"dynamical systems",
"existence theory",
"Caputo derivative",
"non-integer order model",
"point theorem",
"integer order",
"mathematical model",
"fractional order",
"iterative technique",
"considered system",
"considered model",
"fractal dimension",
"order model",
"small factor",
"theorem",
"uniqueness",
"model",
"dimensions",
"theory",
"current paper",
"dynamics",
"problem",
"solution",
"system",
"order",
"sense",
"approach",
"stability",
"technique",
"derivatives",
"results",
"fever disease",
"typhoid disease",
"factors",
"protection",
"disease",
"typhoid",
"paper",
"infection"
],
"name": "Fractal\u2013fractional dynamical system of Typhoid disease including protection from infection",
"pagination": "1-10",
"productId": [
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1143461111"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/s00366-021-01536-y"
]
}
],
"sameAs": [
"https://doi.org/10.1007/s00366-021-01536-y",
"https://app.dimensions.ai/details/publication/pub.1143461111"
],
"sdDataset": "articles",
"sdDatePublished": "2022-05-20T07:38",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-springernature-scigraph/baseset/20220519/entities/gbq_results/article/article_884.jsonl",
"type": "ScholarlyArticle",
"url": "https://doi.org/10.1007/s00366-021-01536-y"
}
]Download the RDF metadata as: json-ld nt turtle xml License info
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/s00366-021-01536-y'
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/s00366-021-01536-y'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00366-021-01536-y'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00366-021-01536-y'
This table displays all metadata directly associated to this object as RDF triples.
163 TRIPLES
22 PREDICATES
68 URIs
55 LITERALS
4 BLANK NODES