| 书目名称 | Topics in Fractional Differential Equations |
| 编辑 | Saïd Abbas,Mouffak Benchohra,Gaston M. N‘Guérékata |
| 视频video | http://file.papertrans.cn/927/926177/926177.mp4 |
| 概述 | Discusses the progress of fractional calculus as a tool in the study of dynamical systems.Presents solutions to the various classes of Darboux problems for hyperbolic differential equations.Addresses |
| 丛书名称 | Developments in Mathematics |
| 图书封面 |  |
| 描述 | Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamental role in the modeling of a considerable number of phenomena; in particular the modeling of memory-dependent and complex media such as porous media. It has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. Some equations present delays which may be finite, infinite, or state-dependent. Others are subject to an impulsive effect. The above problems are studied using the fixed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. This book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists. |
| 出版日期 | Book 2012 |
| 关键词 | Caputo Fractional derivative; Darboux problem; Riemann-Liouville Integral equations; fractional calculu |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4614-4036-9 |
| isbn_softcover | 978-1-4899-9547-6 |
| isbn_ebook | 978-1-4614-4036-9Series ISSN 1389-2177 Series E-ISSN 2197-795X |
| issn_series | 1389-2177 |
| copyright | Springer Science+Business Media New York 2012 |
|Archiver|手机版|小黑屋|
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