The Evolution of Fractional Calculus
Fractional Calculus started in 1695 with Leibniz discussing the meaning of $D^ny$ for $n = 1/2$. Many mathematicians developed the theoretical concepts, but the area remained somewhat unknown from applied sciences. During the eighties FC emerged associated with phenomena such as fractal and chaos a...
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| Format: | Article |
| Language: | English |
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Akif AKGUL
2022-07-01
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| Series: | Chaos Theory and Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/1965226 |
| _version_ | 1797295283150782464 |
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| author | José A. Tenreiro Machado |
| author_facet | José A. Tenreiro Machado |
| author_sort | José A. Tenreiro Machado |
| collection | DOAJ |
| description | Fractional Calculus started in 1695 with Leibniz discussing the meaning of $D^ny$ for $n = 1/2$. Many mathematicians developed the theoretical concepts, but the area remained somewhat unknown from applied sciences. During the eighties FC emerged associated with phenomena such as fractal and chaos and, consequently, in nonlinear dynamical. In the last years, Fractional Calculus became a popular tool for the modeling of complex dynamical systems with nonlocality and long memory effects. |
| first_indexed | 2024-03-07T21:45:29Z |
| format | Article |
| id | doaj.art-7e09d8d82e0045388efb9b00b77dc0f5 |
| institution | Directory Open Access Journal |
| issn | 2687-4539 |
| language | English |
| last_indexed | 2024-03-07T21:45:29Z |
| publishDate | 2022-07-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj.art-7e09d8d82e0045388efb9b00b77dc0f52024-02-25T19:10:01ZengAkif AKGULChaos Theory and Applications2687-45392022-07-014259631971The Evolution of Fractional CalculusJosé A. Tenreiro Machado0Polytechnic Institute of PortoFractional Calculus started in 1695 with Leibniz discussing the meaning of $D^ny$ for $n = 1/2$. Many mathematicians developed the theoretical concepts, but the area remained somewhat unknown from applied sciences. During the eighties FC emerged associated with phenomena such as fractal and chaos and, consequently, in nonlinear dynamical. In the last years, Fractional Calculus became a popular tool for the modeling of complex dynamical systems with nonlocality and long memory effects.https://dergipark.org.tr/en/download/article-file/1965226fractional calculusnon-localitylong range memory |
| spellingShingle | José A. Tenreiro Machado The Evolution of Fractional Calculus Chaos Theory and Applications fractional calculus non-locality long range memory |
| title | The Evolution of Fractional Calculus |
| title_full | The Evolution of Fractional Calculus |
| title_fullStr | The Evolution of Fractional Calculus |
| title_full_unstemmed | The Evolution of Fractional Calculus |
| title_short | The Evolution of Fractional Calculus |
| title_sort | evolution of fractional calculus |
| topic | fractional calculus non-locality long range memory |
| url | https://dergipark.org.tr/en/download/article-file/1965226 |
| work_keys_str_mv | AT joseatenreiromachado theevolutionoffractionalcalculus AT joseatenreiromachado evolutionoffractionalcalculus |