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Mittag‐LefflerFunctions and TheirApplications H. J. HauboldA. M. MathaiR. K. Saxena2011 год

Mittag‐Leffler Functions and Their Applications
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Аннотация: Motivated essentially by the success of the applications of the Mittag‐Leffler functions in many areas of science and engineering, the authors present, in a unified manner, a detailed account or rather a brief survey of the Mittag‐Leffler function, generalized Mittag‐Leffler functions, Mittag‐Leffler type functions, and their interesting and useful properties. Applications of G. M. Mittag‐Leffler functions in certain areas of physical and applied sciences are also demonstrated. During the last two decades this function has come into prominence after about nine decades of its discovery by a Swedish Mathematician Mittag‐Leffler, due to the vast potential of its applications in solving the problems of physical, biological, engineering, and earth sciences, and so forth. In this survey paper, nearly all types of Mittag‐Leffler type functions existing in the literature are presented. An attempt is made to present nearly an exhaustive list of references concerning the Mittag‐Leffler functions to make the reader familiar with the present trend of research in Mittag‐Leffler type functions and their applications.
Год издания: 2011
Авторы: H. J. Haubold, A. M. Mathai, R. K. Saxena
Издательство: Hindawi Publishing Corporation
Источник: Journal of Applied Mathematics
Ключевые слова: Fractional Differential Equations Solutions, Statistical Mechanics and Entropy, Probabilistic and Robust Engineering Design
Другие ссылки: Journal of Applied Mathematics (PDF)
Journal of Applied Mathematics (HTML)
DOAJ (DOAJ: Directory of Open Access Journals) (HTML)
Project Euclid (Cornell University) (PDF)
Project Euclid (Cornell University) (HTML)
arXiv (Cornell University) (PDF)
arXiv (Cornell University) (HTML)
arXiv (Cornell University) (PDF)
arXiv (Cornell University) (HTML)