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Titlebook: Discrete Fractional Calculus; Christopher Goodrich,Allan C. Peterson Textbook 2015 Springer International Publishing Switzerland 2015 Nabl

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发表于 2025-3-21 19:58:45 | 显示全部楼层 |阅读模式
书目名称Discrete Fractional Calculus
编辑Christopher Goodrich,Allan C. Peterson
视频video
概述May be used for courses at the upper undergraduate level and above; the field is promoted by specialists.Flexibility in its use, the text covers all aspects of discrete functional calculus.Contains go
图书封面Titlebook: Discrete Fractional Calculus;  Christopher Goodrich,Allan C. Peterson Textbook 2015 Springer International Publishing Switzerland 2015 Nabl
描述.This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point. Several exercises are offered at the end of each chapter and select answers have been provided at the end of the book..The presentation of the content is designed to give ample flexibility for potential use in a myriad of courses and for independent study. The novel approach taken by the authors includes a simultaneous treatment of the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). The reader will acquire a solid foundation in the classical topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject.  .Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory
出版日期Textbook 2015
关键词Nabla fractional calculus; discrete fractional calculus; fractional boundary value problems; integer-or
版次1
doihttps://doi.org/10.1007/978-3-319-25562-0
isbn_softcover978-3-319-79809-7
isbn_ebook978-3-319-25562-0
copyrightSpringer International Publishing Switzerland 2015
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发表于 2025-3-21 22:49:52 | 显示全部楼层
发表于 2025-3-22 04:19:25 | 显示全部楼层
Discrete Delta Fractional Calculus and Laplace Transforms,Laplace transform to solve initial value problems for difference equations and to solve summation equations. We then develop the discrete delta fractional calculus. Finally, we apply the Laplace transform method to solve fractional initial value problems and fractional summation equations.
发表于 2025-3-22 06:35:13 | 显示全部楼层
vers all aspects of discrete functional calculus.Contains go.This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are in
发表于 2025-3-22 11:57:54 | 显示全部楼层
Pouring Wine through New Funnelsrm is obtained. Finally, a variation of constants formula for an initial value problem for a .-th, 0 < . < 1, order nabla fractional difference equation is given along with some applications. Much of the work in this chapter comes from the results in Hein et al. [119], Holm [123–125], Brackins [64],
发表于 2025-3-22 14:31:32 | 显示全部楼层
Nabla Fractional Calculus,rm is obtained. Finally, a variation of constants formula for an initial value problem for a .-th, 0 < . < 1, order nabla fractional difference equation is given along with some applications. Much of the work in this chapter comes from the results in Hein et al. [119], Holm [123–125], Brackins [64],
发表于 2025-3-22 20:59:43 | 显示全部楼层
Textbook 2015topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject.  .Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory
发表于 2025-3-22 22:26:28 | 显示全部楼层
inging them to the frontiers of the subject.  .Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory 978-3-319-79809-7978-3-319-25562-0
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发表于 2025-3-23 09:04:41 | 显示全部楼层
Nabla Fractional Calculus,ting of domains when one goes from the domain of the function to the domain of its delta fractional difference. This problem is not as great with the fractional nabla difference as noted by Atici and Eloe. In this chapter we study the discrete fractional nabla calculus. We then define the correspond
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