Developments in Mathematics

Topics in Fractional Differential Equations

Authors: Abbas, Saïd, Benchohra, Mouffak, N'Guérékata, Gaston M.

  • ​Discusses the progress of fractional calculus as a tool in the study of dynamical systems
  • Presents solutions to the various classes of Darboux problems for hyperbolic differential equations
  • Addresses a wide audience of specialists including mathematicians, engineers, biologists, and physicists​
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eBook $109.00
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  • ISBN 978-1-4614-4036-9
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Hardcover $149.00
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  • ISBN 978-1-4614-4035-2
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About this book

​​​ Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. ​​Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamental role in the modeling of a considerable number of phenomena; in particular the modeling of memory-dependent and complex media such as porous media. It has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. Some equations present delays which may be finite, infinite, or state-dependent. Others are subject to an impulsive effect. The above problems are studied using the fixed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. This book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists. ​

Table of contents (8 chapters)

  • Introduction

    Abbas, Saïd (et al.)

    Pages 1-10

  • Preliminary Background

    Abbas, Saïd (et al.)

    Pages 11-24

  • Partial Hyperbolic Functional Differential Equations

    Abbas, Saïd (et al.)

    Pages 25-114

  • Partial Hyperbolic Functional Differential Inclusions

    Abbas, Saïd (et al.)

    Pages 115-169

  • Impulsive Partial Hyperbolic Functional Differential Equations

    Abbas, Saïd (et al.)

    Pages 171-249

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-4036-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-4035-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4899-9547-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Topics in Fractional Differential Equations
Authors
Series Title
Developments in Mathematics
Series Volume
27
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-4036-9
DOI
10.1007/978-1-4614-4036-9
Hardcover ISBN
978-1-4614-4035-2
Softcover ISBN
978-1-4899-9547-6
Series ISSN
1389-2177
Edition Number
1
Number of Pages
XIV, 398
Topics