通过分形和分数 calculus 的纯数学与应用数学的新进展

English | PDF | 2022 | 370 Pages | ISBN : 3036549056 | 15.2 MB

This book focuses on exploring new developments in both pure and applied mathematics as a result of fractional behaviour. It covers the range of ongoing activities in the context of fractional calculus by offering alternate viewpoints, workable solutions, new derivatives, and methods to solve real-world problems. It is impossible to deny that fractional behaviour exists in nature. Any phenomenon that has a pulse, rhythm, or pattern appears to be a fractal. The 17 papers that were published and are part of this volume provide credence to that claim. A variety of topics illustrate the use of fractional calculus in a range of disciplines and offer sufficient coverage to pique every reader's attention.

这本书专注于探索纯数学和应用数学中由于分数行为所取得的新发展。它涵盖了在分数微积分背景下正在进行的各种活动，通过提供不同的观点、可行的解决方案、新的导数以及解决现实世界问题的方法来覆盖范围。不可否认的是，在自然界中存在分数行为。任何具有脉冲、节奏或模式的现象似乎都是分形的一种表现。这一卷出版的17篇论文提供了对这一说法的支持。各种主题展示了分数微积分在多个学科中的应用，并为每个读者都提供了足够的内容以引起他们的兴趣。

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