Fractional differential equations : an approach via fractional derivatives

Author(s)

Bibliographic Information

Fractional differential equations : an approach via fractional derivatives

Bangti Jin

(Applied mathematical sciences, v. 206)

Springer, c2021

Available at  / 15 libraries

Search this Book/Journal

Note

Includes bibliographical references (p. 345-366) and index

Description and Table of Contents

Description

This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and partial differential equations with a focus on detailed solution theory, especially regularity theory under realistic assumptions on the problem data. The text includes an extensive bibliography, application-driven modeling, extensive exercises, and graphic illustrations throughout to complement its comprehensive presentation of the field. It is recommended for graduate students and researchers in applied and computational mathematics, particularly applied analysis, numerical analysis and inverse problems.

Table of Contents

Part I: Preliminaries.- Continuous Time Random Walk.- Fractional Calculus.- Mittag-Leffler and Wright Functions.- Part II: Fractional Ordinary Differential Equations.- Cauchy Problems for Fractional ODEs.- Boundary Value Problem for Fractional ODEs.- Part III: Time-Fractional Diffusion.- Subdiffusion: Hilbert Space Theory.- Subdiffusion: Hoelder Space Theory.- Mathematical Preliminaries.- Index.

by "Nielsen BookData"

Related Books: 1-1 of 1

Details

  • NCID
    BC09223603
  • ISBN
    • 9783030760427
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cham
  • Pages/Volumes
    xiv, 368 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
Page Top