On new applications of fractional calculus
نویسندگان
چکیده
منابع مشابه
New Applications of Fractional Calculus on Probabilistic Random Variables
New results and new applications of fractional calculus for continuous random variables are presented. Some classical integral results are also generalized. On the other hand, some results (corollaries) on the paper [Fractional integral inequalities for continuous random variables, Malaya J. Mat. 2(2014), 172–179] are corrected.
متن کاملFractional calculus and its applications.
Fractional calculus was formulated in 1695, shortly after the development of classical calculus. The earliest systematic studies were attributed to Liouville, Riemann, Leibniz, etc. [1,2]. For a long time, fractional calculus has been regarded as a pure mathematical realm without real applications. But, in recent decades, such a state of affairs has been changed. It has been found that fraction...
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Fractional Calculus FC goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a prelimina...
متن کاملTheory, Methods, and Applications of Fractional Calculus
1 Institute for Groundwater Studies, University of the Free State, Bloemfontein 9300, South Africa 2Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia 3 Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa 4Department of Mathematical Engineering, Yildiz Technical Univ...
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The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...
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ژورنال
عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática
سال: 2017
ISSN: 2175-1188,0037-8712
DOI: 10.5269/bspm.v37i3.18626