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Kiryakova won the 1996 Academic Prize for Mathematical Sciences of Bulgarian Academy of Sciences. [1] In 2012, at the 5th Symposium on Fractional Differentiation and its Applications, she was given the FDA Dissemination Award, for her "dissemination of fractional calculus among the scientific community, industry and society" over the previous five years.
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 ...
Japanese mathematics (和算, wasan) denotes a distinct kind of mathematics which was developed in Japan during the Edo period (1603–1867). The term wasan , from wa ("Japanese") and san ("calculation"), was coined in the 1870s [ 1 ] and employed to distinguish native Japanese mathematical theory from Western mathematics (洋算 yōsan ).
It covers research on fractional calculus, special functions, integral transforms, and some closely related areas of applied analysis. The journal is abstracted and indexed in Science Citation Index Expanded, Scopus, Current Contents/Physical, Chemical and Earth Sciences, Zentralblatt MATH, and Mathematical Reviews.
The primary concept behind fractional calculus of sets is the characterization of fractional calculus elements using sets due to the plethora of fractional operators available. [3] [4] [5] This methodology originated from the development of the Fractional Newton-Raphson method [6] and subsequent related works. [7] [8] [9] [10]
International Journal of Algebra and Computation; 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
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 ...
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.