Browsing by Author "Machado, J. A.Tenreiro"
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- Fractional differentiation and its applications I - editorialPublication . Baleanu, Dumitru; Machado, J. A.Tenreiro; Chen, WenFractional calculus (FC) was originated from a genial idea of L’Hopital, who wrote Leibniz a letter dated September 30th, 1695, asking about a particular definition of the derivative of order n = 1/2. FC means the theory of differentiation and integration of noninteger order and represents the generalization of the classical differential and integral calculus. Therefore, some of the properties of the fractional integral and derivatives differ from the classical ones in order to allow its adoption in a broader range of cases, which cannot be properly described by the classical integer-order calculus. FC is presently considered to b
- Fractional signals and systems - editorialPublication . Ortigueira, Manuel D.; Machado, J. A.Tenreiro; Trujillo, Juan J.; Vinagre, Blas M.The word fractional acquired a new glamour at the beginning of the XXI century. Searching the web we count millions of references about this topic. In fact, we find it in a lot of apparently different scientific fields that in a first glance seem not to have any connection, but that verified to be a good strategy to adopt in their studies. Here we focus our attention into two of the most interesting and useful fractional areas: the Fractional Calculus and the Fractional Fourier transform.