书目名称 | Fractional Calculus and Fractional Differential Equations | 编辑 | Varsha Daftardar-Gejji | 视频video | | 概述 | Discusses recent developments in fractional calculus and fractional differential equations.Focuses on applications in pure mathematics, applied mathematics, statistics, and engineering.Covers topics o | 丛书名称 | Trends in Mathematics | 图书封面 |  | 描述 | .This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. It also presents original research describing the fractional operators of variable order, fractional-order delay differential equations, chaos and related phenomena in detail. Selected results on the stability of solutions of nonlinear dynamical systems of the non-commensurate fractional order have also been included. Furthermore, artificial neural network and fractional differential equations are elaborated on; and new transform methods (for example, Sumudu methods) and how they can be employed to solve fractional partial differential equations are discussed..The book covers the latest research on a variety of topics, including: comparison of various numerical methods for solving FDEs, the Adomian decomposition method and its applications to fractional versions of the classical Poisson processes, variable-order fractional operators, fractional variational principles, fractional delay differential equations, fractional-order dynamical systems and stability analysis, inequalities and compa | 出版日期 | Conference proceedings 2019 | 关键词 | Adomian Decomposition Method; Mittag-Leffler Kernel; Fractional Order; Artificial Neural Network; Compar | 版次 | 1 | doi | https://doi.org/10.1007/978-981-13-9227-6 | isbn_softcover | 978-981-13-9229-0 | isbn_ebook | 978-981-13-9227-6Series ISSN 2297-0215 Series E-ISSN 2297-024X | issn_series | 2297-0215 | copyright | Springer Nature Singapore Pte Ltd. 2019 |
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