<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>1984</id>
    <completedYear/>
    <publishedYear>2022</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>3245</pageFirst>
    <pageLast>3270</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>107</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>1</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>2022-01-15</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Trends, directions for further research, and some open problems of fractional calculus</title>
    <abstract language="eng">The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state of development and to foresee, if possible, the future evolution, or, at least, the challenges identified in the scope of advanced research works. This paper gives a vision about the directions for further research as well as some open problems of FC. A number of topics in mathematics, numerical algorithms and physics are analyzed, giving a systematic perspective for future research.</abstract>
    <parentTitle language="eng">Nonlinear Dynamics</parentTitle>
    <identifier type="issn">1573-269X</identifier>
    <identifier type="doi">https://doi.org/10.1007/s11071-021-07158-9</identifier>
    <enrichment key="opus.source">publish</enrichment>
    <enrichment key="review.accepted_by">2</enrichment>
    <licence>Creative Commons - CC BY - Namensnennung 4.0 International</licence>
    <author>Kai Diethelm</author>
    <author>Virginia Kiryakova</author>
    <author>Yuri Luchko</author>
    <author>José A. Tenreiro Machado</author>
    <author>Vasily E. Tarasov</author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>fractional calculus</value>
    </subject>
    <collection role="institutes" number="fang">Fakultät für angewandte Natur- und Geisteswissenschaften</collection>
    <collection role="Regensburger_Klassifikation" number="SA - SP">Mathematik</collection>
    <collection role="ddc" number="512">Algebra</collection>
    <collection role="oa-colour" number="">Gefördert (Hybrid/DEAL)</collection>
    <thesisPublisher>Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt</thesisPublisher>
    <file>https://opus4.kobv.de/opus4-fhws/files/1984/Diethelm_Trends_directions_fractional_calculus.pdf</file>
  </doc>
</export-example>
