Fractional Coins and Fractional Derivatives
This paper discusses the fundamentals of negative probabilities and fractional calculus. The historical evolution and the main mathematical concepts are discussed, and several analogies between the two apparently unrelated topics are established. Based on the new conceptual perspective, some experim...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/205097 |
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| _version_ | 1832558847181455360 |
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| author | J. A. Tenreiro Machado |
| author_facet | J. A. Tenreiro Machado |
| author_sort | J. A. Tenreiro Machado |
| collection | DOAJ |
| description | This paper discusses the fundamentals of negative probabilities and fractional calculus. The historical evolution and the main mathematical concepts are discussed, and several analogies between the two apparently unrelated topics are established. Based on the new conceptual perspective, some experiments are performed shading new light into possible future progress. |
| format | Article |
| id | doaj-art-2b6b5541201046beabd1eb0ce255f5b0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2b6b5541201046beabd1eb0ce255f5b02025-02-03T01:31:25ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/205097205097Fractional Coins and Fractional DerivativesJ. A. Tenreiro Machado0Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, Rua Dr. António Bernardino de Almeida 431, 4200-072 Porto, PortugalThis paper discusses the fundamentals of negative probabilities and fractional calculus. The historical evolution and the main mathematical concepts are discussed, and several analogies between the two apparently unrelated topics are established. Based on the new conceptual perspective, some experiments are performed shading new light into possible future progress.http://dx.doi.org/10.1155/2013/205097 |
| spellingShingle | J. A. Tenreiro Machado Fractional Coins and Fractional Derivatives Abstract and Applied Analysis |
| title | Fractional Coins and Fractional Derivatives |
| title_full | Fractional Coins and Fractional Derivatives |
| title_fullStr | Fractional Coins and Fractional Derivatives |
| title_full_unstemmed | Fractional Coins and Fractional Derivatives |
| title_short | Fractional Coins and Fractional Derivatives |
| title_sort | fractional coins and fractional derivatives |
| url | http://dx.doi.org/10.1155/2013/205097 |
| work_keys_str_mv | AT jatenreiromachado fractionalcoinsandfractionalderivatives |