The Resource Discrete Fractional Calculus, by Christopher Goodrich, Allan C. Peterson, (electronic resource)

Discrete Fractional Calculus, by Christopher Goodrich, Allan C. Peterson, (electronic resource)

Label
Discrete Fractional Calculus
Title
Discrete Fractional Calculus
Statement of responsibility
by Christopher Goodrich, Allan C. Peterson
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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 course for difference equations which also includes discrete fractional calculus. Chapters 1â2 provide a basic introduction to the delta calculus including fractional calculus on the set of integers. For courses where students already have background in elementary real analysis, Chapters 1â2 may be covered quickly and readers may then skip to Chapters 6â7 which present some basic results in fractional boundary value problems (FBVPs). Chapters 6â7 in conjunction with some of the current literature listed in the Bibliography can provide a basis for a seminar in the current theory of FBVPs. For a two-semester course, Chapters 1â5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integer-order calculus
http://library.link/vocab/creatorName
Goodrich, Christopher
Image bit depth
0
LC call number
QA372
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Peterson, Allan C.
  • SpringerLink
http://library.link/vocab/subjectName
  • Mathematics
  • Difference equations
  • Functional equations
  • Differential equations
  • Functions of real variables
  • Mathematics
  • Ordinary Differential Equations
  • Difference and Functional Equations
  • Real Functions
Label
Discrete Fractional Calculus, by Christopher Goodrich, Allan C. Peterson, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- 1. Basic Difference Calculus -- 2. Discrete Delta Fractional Calculus and Laplace Transforms -- 3. Nabla Fractional Calculus -- 4. Quantum Calculus -- 5. Calculus on Mixed Time Scales -- 6. Fractional Boundary Value Problems -- 7. Nonlocal BVPs and the Discrete Fractional Calculus.-Solutions to Selected Problems -- Bibliography -- Index
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XIII, 556 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319255620
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-25562-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-25562-0
Label
Discrete Fractional Calculus, by Christopher Goodrich, Allan C. Peterson, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- 1. Basic Difference Calculus -- 2. Discrete Delta Fractional Calculus and Laplace Transforms -- 3. Nabla Fractional Calculus -- 4. Quantum Calculus -- 5. Calculus on Mixed Time Scales -- 6. Fractional Boundary Value Problems -- 7. Nonlocal BVPs and the Discrete Fractional Calculus.-Solutions to Selected Problems -- Bibliography -- Index
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XIII, 556 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319255620
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-25562-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-25562-0

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