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Fractional calculus was introduced in one of Niels Henrik Abel's early papers [3] where all the elements can be found: the idea of fractional-order integration and differentiation, the mutually inverse relationship between them, the understanding that fractional-order differentiation and integration can be considered as the same generalized ...
International Journal of Biomathematics; International Journal of Computational Geometry and Applications; International Journal of Geometric Methods in Modern Physics; International Journal of Mathematics; International Journal of Mathematics and Computer Science; International Journal of Mathematics and Mathematical Sciences
Fractional Calculus and Applied Analysis is a peer-reviewed mathematics journal published by Walter de Gruyter. It covers research on fractional calculus , special functions , integral transforms , and some closely related areas of applied analysis .
Specialized journal: Fractional Calculus and Applied Analysis (1998-2014) and Fractional Calculus and Applied Analysis (from 2015) Specialized journal: Fractional Differential Equations (FDE) Specialized journal: Communications in Fractional Calculus (ISSN 2218-3892) Specialized journal: Journal of Fractional Calculus and Applications (JFCA ...
The Canadian Journal of Statistics; Communications in Statistics; International Statistical Review; Journal of the American Statistical Association; Journal of Multivariate Analysis; Journal of the Royal Statistical Society; Probability and Mathematical Statistics; Sankhyā: The Indian Journal of Statistics; Scandinavian Journal of Statistics ...
In fractional calculus, these formulae can be used to construct a differintegral, allowing one to differentiate or integrate a fractional number of times. Differentiating a fractional number of times can be accomplished by fractional integration, then differentiating the result.
The Japan Spotlight (ISSN 1348-9216) is a bimonthly publication by the Japan Economic Foundation (JEF). It was formerly called the Journal of Japanese Trade & Industry ( JTI ). [ 1 ]
Working with a properly initialized differ integral is the subject of initialized fractional calculus. If the differ integral is initialized properly, then the hoped-for composition law holds. The problem is that in differentiation, information is lost, as with C in the first equation.