【分数阶微分方程】 Basic Theory of Fractional Differential Equations (2016, 2e)

相似文件 换一批

是 否 +2 论坛币

k人 参与回答

经管之家送您一份

应届毕业生专属福利!

求职就业群

赵安豆老师微信：zhaoandou666

经管之家联合CDA

送您一个全额奖学金名额~ !

立即领取

感谢您参与论坛问题回答

经管之家送您两个论坛币！

+2 论坛币

Basic Theory of Fractional Differential Equations
2nd Edition

By (author): Yong Zhou (Xiangtan University, China), JinRong Wang (Guizhou University, China), Lu Zhang (Xiangtan University, China)



This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations. It provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, the technique of Picard operators, critical point theory and semigroup theory. Based on the research work carried out by the authors and other experts during the past seven years, the contents are very recent and comprehensive.

In this edition, two new topics have been added, that is, fractional impulsive differential equations, and fractional partial differential equations including fractional Navier–Stokes equations and fractional diffusion equations.

Contents:

Preliminaries:
• Introduction
• Some Notations, Concepts and Lemmas
• Fractional Calculus
• Some Results from Nonlinear Analysis
• Semigroups

Fractional Functional Differential Equations:
• Introduction
• Neutral Equations with Bounded Delay
• p-Type Neutral Equations
• Neutral Equations with Infinite Delay
• Iterative Functional Differential Equations
• Notes and Remarks

Fractional Ordinary Differential Equations in Banach Spaces:
• Introduction
• Cauchy Problems via Measure of Noncompactness Method
• Cauchy Problems via Topological Degree Method
• Cauchy Problems via Picard Operators Technique
• Notes and Remarks

Fractional Abstract Evolution Equations:
• Introduction
• Evolution Equations with Riemann–Liouville Derivative
• Evolution Equations with Caputo Derivative
• Nonlocal Problems for Evolution Equations
• Abstract Cauchy Problems with Almost Sectorial Operators
• Notes and Remarks

Fractional Impulsive Differential Equations:
• Introduction
• Impulsive Initial Value Problems
• Impulsive Boundary Value Problems
• Impulsive Langevin Equations
• Impulsive Evolution Equations
• Notes and Remarks

Fractional Boundary Value Problems:
• Introduction
• Solution for BVP with Left and Right Fractional Integrals
• Multiple Solutions for BVP with Parameters
• Infinite Solutions for BVP with Left and Right Fractional Integrals
• Solutions for BVP with Left and Right Fractional Derivatives
• Notes and Remarks

Fractional Partial Differential Equations:
• Introduction
• Fractional Navier–Stokes Equations
• Fractional Euler–Lagrange Equations
• Fractional Diffusion Equations
• Fractional Schrödinger Equations
• Notes and Remarks

本帖隐藏的内容

原版 PDF：
Basic Theory of Fractional Differential Equations (2nd Edition).pdf (5.04 MB, 需要: 18 个论坛币)

2017-1-15 04:51:17 上传

需要: 18 个论坛币  [购买]

PDF 压缩包：
Basic Theory of Fractional Differential Equations (2nd Edition).zip (3.92 MB, 需要: 18 个论坛币) 本附件包括：

• Basic Theory of Fractional Differential Equations (2nd Edition).pdf

2017-1-15 04:51:09 上传

需要: 18 个论坛币  [购买]

  如果你喜欢我分享的书籍，请关注我：
https://bbs.pinggu.org/z_guanzhu.php?action=add&fuid=5975757

订阅我的文库：

【金融 + 经济 + 商学 + 国际政治】
https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3257

【数学 + 统计 + 计算机编程】
https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3258

【历史 + 心理学 + 社会自然科学】
https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3259

扫码加我 拉你入群

请注明：姓名-公司-职位

以便审核进群资格，未注明则拒绝

分享0 收藏8 回帖

关键词：Differential Fractional Equations Different equation 计算机编程 心理学 action 压缩包 University

感谢分享资源

kankan

see...............

谢谢分享楼主厉害楼主万岁

好书! 发帖限制太多了

Basic Theory of Fractional Differential Equations
2nd Edition

thanks a lot

Basic Theory of Fractional Differential Equations