Discrete Fractional Calculus
Resource Information
The work Discrete Fractional Calculus represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Discrete Fractional Calculus
Resource Information
The work Discrete Fractional Calculus represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Discrete Fractional Calculus
 Statement of responsibility
 by Christopher Goodrich, Allan C. Peterson
 Subject

 Real Functions
 Functions of real variables
 Differential equations
 Differential equations
 Functions of real variables
 Ordinary Differential Equations
 Functional equations
 Functional equations
 Electronic resources
 Mathematics
 Difference equations
 Mathematics
 Difference and Functional Equations
 Difference equations
 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 integerorder 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. Â 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.Â 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 twosemester course, Chapters 1â5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integerorder calculus
 Image bit depth
 0
 LC call number
 QA372
 Literary form
 non fiction
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