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A New Collection of Real World Applications of Fractional Calculus in Science and Engineering

dc.contributor.author Zhang, Yong
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Chen, Wen
dc.contributor.author Chen, YangQuan
dc.contributor.author Sun, HongGuang
dc.date.accessioned 2020-03-18T13:48:52Z
dc.date.accessioned 2025-09-18T16:06:56Z
dc.date.available 2020-03-18T13:48:52Z
dc.date.available 2025-09-18T16:06:56Z
dc.date.issued 2018
dc.description Chen, Yangquan/0000-0002-7422-5988 en_US
dc.description.abstract Fractional calculus is at this stage an arena where many models are still to be introduced, discussed and applied to real world applications in many branches of science and engineering where nonlocality plays a crucial role. Although researchers have already reported many excellent results in several seminal monographs and review articles, there are still a large number of non-local phenomena unexplored and waiting to be discovered. Therefore, year by year, we can discover new aspects of the fractional modeling and applications. This review article aims to present some short summaries written by distinguished researchers in the field of fractional calculus. We believe this incomplete, but important, information will guide young researchers and help newcomers to see some of the main real-world applications and gain an understanding of this powerful mathematical tool. We expect this collection will also benefit our community. (C) 2018 Elsevier B.V. All rights reserved. en_US
dc.description.sponsorship National Natural Science Foundation of China [11572112, 11572111, 41628202, 11811530069]; National Science Foundation [DMS-1460319]; University of Alabama en_US
dc.description.sponsorship We thank distinguished researchers and colleagues for valuable contributions on this collection. The work was supported by the National Natural Science Foundation of China (Grant Nos. 11572112, 11572111, 41628202, and 11811530069). Y. Zhang was also partially supported by the National Science Foundation grant DMS-1460319 and the University of Alabama. This paper does not necessarily reflect the view of the funding agencies. en_US
dc.identifier.citation Sun, HongGuang...et al. (2018). "A new collection of real world applications of fractional calculus in science and engineering", Communications in Nonlinear Science And Numerical Simulation, Vol. 64, pp. 213-231. en_US
dc.identifier.doi 10.1016/j.cnsns.2018.04.019
dc.identifier.issn 1007-5704
dc.identifier.issn 1878-7274
dc.identifier.scopus 2-s2.0-85046409994
dc.identifier.uri https://doi.org/10.1016/j.cnsns.2018.04.019
dc.identifier.uri https://hdl.handle.net/20.500.12416/14636
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.ispartof Communications in Nonlinear Science and Numerical Simulation
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Fractional Calculus en_US
dc.subject Fractional Differential Equations en_US
dc.subject Anomalous Diffusion en_US
dc.subject Visoelasticity en_US
dc.subject Control en_US
dc.subject Signal And Image Processing en_US
dc.subject Dynamic Systems en_US
dc.subject Biology en_US
dc.subject Macroeconomic Models en_US
dc.subject Environmental Science en_US
dc.title A New Collection of Real World Applications of Fractional Calculus in Science and Engineering en_US
dc.title A new collection of real world applications of fractional calculus in science and engineering tr_TR
dc.type Article en_US
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gdc.author.id Chen, Yangquan/0000-0002-7422-5988
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gdc.author.wosid Sun, Hongguang/A-9385-2010
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Sun, HongGuang; Baleanu, Dumitru; Chen, Wen] Hohai Univ, Dept Engn Mech, Inst Soft Matter Mech, Nanjing 210098, Jiangsu, Peoples R China; [Zhang, Yong] Univ Alabama, Dept Geol Sci, Tuscaloosa, AL 35487 USA; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, RO-76900 Magurele, Romania; [Chen, YangQuan] Univ Calif Merced, Sch Engn, Dept Mech Engn, Merced, CA 95343 USA en_US
gdc.description.endpage 231 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 213 en_US
gdc.description.volume 64 en_US
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gdc.oaire.keywords biology
gdc.oaire.keywords signal and image processing
gdc.oaire.keywords fractional differential equations
gdc.oaire.keywords fractional calculus
gdc.oaire.keywords environmental science
gdc.oaire.keywords visoelasticity
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords anomalous diffusion
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gdc.oaire.keywords control
gdc.oaire.keywords dynamic systems
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gdc.publishedmonth 11
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