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Discrete Fractional Calculus

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...

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Main Authors: Goodrich, Christopher. (Author, http://id.loc.gov/vocabulary/relators/aut), Peterson, Allan C. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Subjects:
Differential equations.
Difference equations.
Functional equations.
Functions of real variables.
Ordinary Differential Equations.
Difference and Functional Equations.
Real Functions.
Online Access:https://doi.org/10.1007/978-3-319-25562-0
Table of 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.

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